Статті в журналах: "Casson model"

1

Sankar, D. S., and Atulya K. Nagar. "Nonlinear Fluid Models for Biofluid Flow in Constricted Blood Vessels under Body Accelerations: A Comparative Study." Journal of Applied Mathematics 2012 (2012): 1–27. http://dx.doi.org/10.1155/2012/950323.

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Pulsatile flow of blood in constricted narrow arteries under periodic body acceleration is analyzed, modeling blood as non-Newtonian fluid models with yield stress such as (i) Herschel-Bulkley fluid model and (ii) Casson fluid model. The expressions for various flow quantities obtained by Sankar and Ismail (2010) for Herschel-Bulkley fluid model and Nagarani and Sarojamma (2008), in an improved form, for Casson fluid model are used to compute the data for comparing these fluid models. It is found that the plug core radius and wall shear stress are lower for H-B fluid model than those of the Casson fluid model. It is also noted that the plug flow velocity and flow rate are considerably higher for H-B fluid than those of the Casson fluid model. The estimates of the mean velocity and mean flow rate are considerably higher for H-B fluid model than those of the Casson fluid model.

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2

Aghighi, Mohammad Saeid, Christel Metivier, and Hamed Masoumi. "Natural convection of Casson fluid in a square enclosure." Multidiscipline Modeling in Materials and Structures 16, no. 5 (April 5, 2020): 1245–59. http://dx.doi.org/10.1108/mmms-11-2019-0192.

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PurposeThe purpose of this paper is to analyze the natural convection of a yield stress fluid in a square enclosure with differentially heated side walls. In particular, the Casson model is considered which is a commonly used model.Design/methodology/approachThe coupled conservation equations of mass, momentum and energy related to the two-dimensional steady-state natural convection within square enclosures are solved numerically by using the Galerkin's weighted residual finite element method with quadrilateral, eight nodes elements.FindingsResults highlight a small degree of the shear-thinning in the Casson fluids. It is shown that the yield stress has a stabilizing effect since the convection can stop for yield stress fluids while this is not the case for Newtonian fluids. The heat transfer rate, velocity and Yc obtained with the Casson model have the smallest values compared to other viscoplastic models. Results highlight a weak dependence of Yc with the Rayleigh number: Yc∼Ra0.07. A supercritical bifurcation at the transition between the convective and the conductive regimes is found.Originality/valueThe originality of the present study concerns the comprehensive and detailed solutions of the natural convection of Casson fluids in square enclosures with differentially heated side walls. It is shown that there exists a major difference between the cases of Casson and Bingham models, and hence using the Bingham model for analyzing the viscoplastic behavior of the fluids which follow the Casson model (such as blood) may not be accurate. Finally, a correlation is proposed for the mean Nusselt number Nu¯.

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3

Pandey, S. K., and Dharmendra Tripathi. "A Mathematical Model for Swallowing of Concentrated Fluids in Oesophagus." Applied Bionics and Biomechanics 8, no. 3-4 (2011): 309–21. http://dx.doi.org/10.1155/2011/782414.

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This model investigates particularly the impact of an integral and a non-integral number of waves on the swallowing of food stuff such as jelly, tomato puree, soup, concentrated fruits juices and honey transported peristaltically through the oesophagus. The fluid is considered as a Casson fluid. Emphasis is on the study of the dependence of local pressure distribution on space and time. Mechanical efficiency, reflux limit and trapping are also discussed. The effect of Casson fluid vis-à-vis Newtonian fluid is investigated analytically and numerically too. The result is physically interpreted as that the oesophagus makes more efforts to swallow fluids with higher concentration. It is observed that the pressure is uniformly distributed when an integral number of waves is there in the oesophagus; but it is non-uniform when a non-integral number of waves is present therein. It is further observed that as the plug flow region widens, the pressure difference increases, which indicates that the averaged flow rate will reduce for a Casson fluid. It is also concluded that Casson fluids are more prone to reflux.

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4

Mohd Kasim, Abdul Rahman, Nur Syamilah Arifin, Syazwani Mohd Zokri, Mohd Zuki Salleh, Nurul Farahain Mohammad, Dennis Ling Chuan Ching, Sharidan Shafie, and Noor Amalina Nisa Ariffin. "Convective Transport of Fluid–Solid Interaction: A Study between Non-Newtonian Casson Model with Dust Particles." Crystals 10, no. 9 (September 15, 2020): 814. http://dx.doi.org/10.3390/cryst10090814.

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The Casson model is a fascinating model, which is genuinely recommended for use with fluids of a non-Newtonian type. The conventional model is not capable to represent the Casson model with the suspension of foreign bodies (dust particles). Due to this, the two-phase model for the mixture of Casson model fluid and dust particles is formulated. This study examines the emerging role of dust particles in changing the behavior of Casson model. In particular, two-phase flow of dusty Casson model with modified magnetic field and buoyancy effect under Newtonian heating boundary condition along a vertically stretching sheet is considered. The equations that govern under Casson model, together with dust particles, are reduced to a system of nonlinear ordinary differential equations by employing the suitable similarity variables. These transformed equations are then solved numerically by implementing the Runge–Kutta–Fehlberg (RKF45) method. The numerical results of skin friction coefficient plus Nusselt number are displayed graphically. The results revealed the fluid’s velocity tends to deteriorate due to the existence of dust particles, whilst its temperature is increased. The two-phase flow is one of the mathematical modeling techniques for multiphase flow, where the relationship between the fluid and solid is examined more closely. It is expected that the present findings can contribute to the understanding of the theory of two-phase flow mathematically, which will continue to produce significant research in this field.

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5

Chaves, Modesto Antonio, Fátima Baptistia, Jadir Noqueira da Silva, Luciano Rodrigues, and Arianne Dantas Viana. "A Rheological Model for Cupuassu (Theobroma grandiflorum) Pulp at Different Concentrations and Temperatures." International Journal of Food Engineering 9, no. 4 (October 31, 2013): 353–63. http://dx.doi.org/10.1515/ijfe-2012-0194.

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AbstractThis work was made aiming at studying the best model for the rheological properties of Cupuassu (Theobroma grandiflorum, Schum) pulps with 14 (in nature), 17, 19, 23 and 25°Brix of total soluble solids (TSS) which were measured at 20, 30, 40, 50 and 60°C temperature using a concentric cylinder rheometer. The results were adjusted to the following nine models: Ostwald-de-Waele (power law), Bingham, Casson, Generalized Casson, Heinz–Casson, Herschel–Bulkley, Mizrahi–Berk, Schulmann–Haroske–Reher and Windhab. The parameters of the best model were correlated with pulp temperature and TSS by polynomial regression analysis and were kept in the regression equation only those parameters that contributed more than 1% to the variation of the independent variable. The results indicate that the rheological behavior of Cupuassu pulp in different concentrations and temperatures can be modeled by the Windhab model, although other models can be used in a narrower band of shear stress.

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6

Sankar, D. S., and Yazariah Yatim. "Comparative Analysis of Mathematical Models for Blood Flow in Tapered Constricted Arteries." Abstract and Applied Analysis 2012 (2012): 1–34. http://dx.doi.org/10.1155/2012/235960.

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Pulsatile flow of blood in narrow tapered arteries with mild overlapping stenosis in the presence of periodic body acceleration is analyzed mathematically, treating it as two-fluid model with the suspension of all the erythrocytes in the core region as non-Newtonian fluid with yield stress and the plasma in the peripheral layer region as Newtonian. The non-Newtonian fluid with yield stress in the core region is assumed as (i) Herschel-Bulkley fluid and (ii) Casson fluid. The expressions for the shear stress, velocity, flow rate, wall shear stress, plug core radius, and longitudinal impedance to flow obtained by Sankar (2010) for two-fluid Herschel-Bulkley model and Sankar and Lee (2011) for two-fluid Casson model are used to compute the data for comparing these fluid models. It is observed that the plug core radius, wall shear stress, and longitudinal impedance to flow are lower for the two-fluid H-B model compared to the corresponding flow quantities of the two-fluid Casson model. It is noted that the plug core radius and longitudinal impedance to flow increases with the increase of the maximum depth of the stenosis. The mean velocity and mean flow rate of two-fluid H-B model are higher than those of the two-fluid Casson model.

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7

Sankar, D. S., and Usik Lee. "Pulsatile Flow of Two-Fluid Nonlinear Models for Blood Flow through Catheterized Arteries: A Comparative Study." Mathematical Problems in Engineering 2010 (2010): 1–21. http://dx.doi.org/10.1155/2010/121757.

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The pulsatile flow of blood through catheterized arteries is analyzed by treating the blood as a two-fluid model with the suspension of all the erythrocytes in the core region as a non-Newtonian fluid and the plasma in the peripheral layer as a Newtonian fluid. The non-Newtonian fluid in the core region of the artery is represented by (i) Casson fluid and (ii) Herschel-Bulkley fluid. The expressions for the flow quantities obtained by Sankar (2008) for the two-fluid Casson model and Sankar and Lee (2008) for the two-fluid Herschel-Bulkley model are used to get the data for comparison. It is noted that the plug-flow velocity, velocity distribution, and flow rate of the two-fluid H-B model are considerably higher than those of the two-fluid Casson model for a given set of values of the parameters. Further, it is found that the wall shear stress and longitudinal impedance are significantly lower for the two-fluid H-B model than those of the two-fluid Casson model.

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8

Devi, M., J. Sharma, and U. Gupta. "Instability in Casson nanofluids for Darcy-Brinkman model." IOP Conference Series: Materials Science and Engineering 1225, no. 1 (February 1, 2022): 012011. http://dx.doi.org/10.1088/1757-899x/1225/1/012011.

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Abstract The convective instability of Casson nanofluids saturating porous medium is investigated analytically and numerically. Darcy-Brinkman law is utilized to frame the momentum equation for the system. The governing equations are simplified using normal mode analysis and linear stability theory. The present study finds the expressions of thermal Rayleigh number for various boundaries and discusses the convective instability under various effects with the help of Wolfram Mathematica software. Out of all the boundaries, the instability of the layer is found to be least for both rigid boundaries. It is established that the convection in the fluid gets delayed due to porosity effects while non-Newtonian property and nano scale effects contribute significantly in making the layer unstable.

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9

Shukla, A. K., Yogendra Kumar Dwivedi, and Mohammad Suleman Quraishi. "A Numerical Simulation of Soret-Dufour effect on Unsteady MHD Casson Fluid Flow past a vertical plate with Hall current and viscous dissipation." International Journal of Chemistry, Mathematics and Physics 6, no. 4 (2022): 05–18. http://dx.doi.org/10.22161/ijcmp.6.4.2.

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The Casson fluid model, which is very significant in the biomechanics and polymer processing industries, is another term used to describe non-Newtonian fluid behavior. This study of Casson fluid model on unsteady MHD Casson fluid flow with Soret-Dufour effect past a vertical plate embedded in porous medium in the presence of radiation with heat generation/absorption and viscous dissipation is presented in this research article as a numerical investigation of non Newtonian Casson fluid with applied effects. Regulating partial differential equations have been used to explain the mathematical model of the flow field. The Crank-Nicolson implicit finite difference approach has been used to numerically solve non-dimensionalized flow field governing equations. Concentration, temperature, and velocity profile effects of non-dimensional factors have been investigated using tables and graphs as aids. Tables have also been used to observe fluctuations in factors like skin friction, the Nusselt number, and the Sherwood number in relation to other parameters.

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10

Mahdy, A., and A. Chamkha. "Heat transfer and fluid flow of a non-Newtonian nanofluid over an unsteady contracting cylinder employing Buongiorno’s model." International Journal of Numerical Methods for Heat & Fluid Flow 25, no. 4 (May 5, 2015): 703–23. http://dx.doi.org/10.1108/hff-04-2014-0093.

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Purpose – The purpose of this paper is to discuss a combined similarity-numerical approach that is used to study the unsteady two-dimensional flow of a non-Newtonian nanofluid over a contracting cylinder using Buongiorno’s model and the Casson fluid model that is used to characterize the non-Newtonian fluid behavior. Design/methodology/approach – Similarity transformations are employed to transform the unsteady Navier-Stokes partial differential equations into a system of ordinary differential equations. The transformed equations are then solved numerically by means of the very robust symbolic computer algebra software MATLAB employing the routine bvpc45. Findings – The effect of increasing values of the Casson parameter is to suppress the velocity field (in absolute sense), the temperature and concentration decrease as Casson parameter increase. The heat and mass transfer rates decrease with the increase of unsteadiness parameters and Brownian motion parameter. In addition, they increase as the Casson parameter and the thermophoresis parameter increase. Originality/value – The problem is relatively original and represents a very important contribution to the field of non-Newtonian nanofluids.

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11

Nanjundaswamy, Vinay Kumar Poorigaly, Ulavathi Shettar Mahabaleshwar, Patil Mallikarjun, Mohaddeseh Mousavi Nezhad, and Giulio Lorenzini. "Casson Liquid Flow due to Porous Stretching Sheet with Suction/Injection." Defect and Diffusion Forum 388 (October 2018): 420–32. http://dx.doi.org/10.4028/www.scientific.net/ddf.388.420.

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The theoretical study of laminar boundary layer flows of a non-Newtonian fluid past a stretching sheet in an embedded porous medium in the presence of suction/injection is of significant importance in the crystal growing, geothermal, metallurgical, polymer extrusion and several other technological processes. Casson fluid model is one such fluid model used to characterize the behaviour of non-Newtonian fluids. The present article discusses the Casson fluid flow past a permeable stretching sheet in the presence of mass transpiration. The physical problem is modelled into a system of nonlinear partial differential equations which are analytically solved by transforming them into nonlinear ordinary differential equations with constant coefficient by means of similarity transformations. The analysis reveals the effect of Casson parameter on the velocity boundary. In fact, the increasing Casson parameter results in the suppression of velocity boundary. It is found that the skin friction coefficient decreases with the decreasing values of Casson parameter. The effects of Darcy drag force and the mass transpiration are also analyzed by means of various plots.

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12

Mohamed, Muhammad Khairul Anuar, Siti Hanani Mat Yasin, Mohd Zuki Salleh, and Hamzeh Taha Alkasasbeh. "MHD Stagnation Point Flow and Heat Transfer Over a Stretching Sheet in a Blood-Based Casson Ferrofluid With Newtonian Heating." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 82, no. 1 (April 11, 2021): 1–11. http://dx.doi.org/10.37934/arfmts.82.1.111.

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The present study investigated the magnetohydrodynamic (MHD) flow and heat transfer on a stagnation point past a stretching sheet in a blood-based Casson ferrofluid with Newtonian heating boundary conditions. The ferrite Fe3O4 and cobalt ferrite CoFe2O4 ferroparticles suspended into Casson fluid represent by human blood to form blood-based Casson ferrofluid are numerically examined. The mathematical model for Casson ferrofluid which is in non-linear partial differential equations are first transformed to a more convenient form by similarity transformation approach then solved numerically by using the Runge-Kutta-Fehlberg (RKF45) method. The characteristics and effects of the stretching parameter, the magnetic parameter, the Casson parameter and the ferroparticle volume fraction for Fe3O4 and CoFe2O4 on the variation of surface temperature and the reduced skin friction coefficient are analyzed and discussed. It is found that the blood-based Casson ferrofluid provided up to 46% higher in temperature surface compared to blood-based fluid with the presence of magnetic effects.

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13

Jonuarti, Riri. "Analysis of Blood Flow in Arterial Stenosis Using Casson and Power-Law Fluid Model." Jurnal ILMU DASAR 14, no. 2 (December 4, 2013): 73. http://dx.doi.org/10.19184/jid.v14i2.322.

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Simulation of blood flow behaviour in the arteries and in arterial stenosis has been made and will be discussed in this paper. This simulation uses pulsatile flow and blood flow in artery without stenosis is considered as a dynamic fluid, compressed and condensed. Whereas, in the case of arterial stenosis has been used Casson and Power-law fluid models. In the arteries without stenosis, blood flow velocity profiles show the same pattern for each Womersley number, but with different speed value. In the case of arterial stenosis, blood flow rate decreases with increasing stenosis position away from axis of blood vessels. Resistances to flow are increases with increasing the size (height and length) of stenosis, both for the Casson and Power-law fluid models. If resistance to flow increases, it is more difficult for the blood to pass through an artery, result the flow decreases and heart has to work harder to maintain adequate circulation.Keywords : Artery, blood flow, power-law fluid, Casson fluid, stenosis

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14

Igali, Dastan, Asma Perveen, Dichuan Zhang, and Dongming Wei. "Shear Rate Coat-Hanger Die Using Casson Viscosity Model." Processes 8, no. 12 (November 24, 2020): 1524. http://dx.doi.org/10.3390/pr8121524.

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Coat-hanger die design aims for optimization of the die geometry of the body and the flow distribution manifold, such that through the exit at the die lip homogeneous distribution of the polymer melt is achieved. This paper proposes a novel methodology for deriving the design equations of the coat-hanger die geometry for some specific extrusion materials and provides fluid–solid interaction simulations for validations. The basis for the calculations is the Casson rheological model, analytic velocity profiles for the pseudoplastic flow through circular pipe and slit, and the constant shear rate coat-hanger die design methodology developed by Winter and Fritz. The geometry obtained was then evaluated using the fluid-structure interaction numerical simulation approach. The sensitivity of the outlet velocity uniformity and die body deformation due to the material and mass flow rate change were investigated using the finite element software, Ansys. It was found that the homogeneity of the outlet velocity is very sensitive to the extrusion materials. The structural analysis of the solid die body also resulted in higher deformations when using some other extrusion materials different from the initial design. Mass flow rate increase only resulted in large zones of stagnation, which occurred around the melt as it passes from the manifold to the slit region. Therefore, it is recommended to define the required range of mass flow rate to prevent the formation of stagnation zones.

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15

Veera Reddy, K., G. Venkata Ramana Reddy, and Ali J. Chamkha. "Effects of Viscous Dissipation and Thermal Radiation on an Electrically Conducting Casson-Carreau Nanofluids Flow with Cattaneo-Christov Heat Flux Model." Journal of Nanofluids 11, no. 2 (April 1, 2022): 214–26. http://dx.doi.org/10.1166/jon.2022.1836.

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The primary goal of this research is to study the Cattaneo-Christov heat flux model on the impacts of mass and energy transit of MHD Casson-Carreu nanofluid through a permeable vertical accelerating plate with Soret and Dufour mechanism. The non-Newtonian fluids flowed over the porous vertical plate to reach the boundary layer in this investigation. In order to understand the physical model, partial differential equations (PDEs) are used. To get a linked nonlinear set of ordinary differential equations (ODEs), we reduced this set of PDEs by using similarity variables. SHAM, a spectrum basis technique, was utilized to solve these modified equations to understand the physical significance. A good method is to utilize SHAM to decouple the coupled nonlinear ODE systems and divide them into linear and nonlinear equation sets since this helps to separate the systems. As a result, the two non-Newtonian fluids (Carreu and Cassin) flow together through the vertical wall and into the boundary layer, where different parameters’ impacts are scrutinized. The current results showed that an upturn in the Casson parameter (β) degenerates the boundary layer velocity and the total thickness. Upturn in the Weissenberg number (We) on the other hand, raises the velocities and temperatures in both directions. Additionally, increasing the Soret and Dufour parameters sped up the velocity graph.

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16

Hammachukiattikul, P., M. Govindaraju, Muhammad Sohail, R. Vadivel, Nallappan Gunasekaran, and Sameh Askar. "Analytical Study on Sodium Alginate Based Hybrid Nanofluid Flow through a Shrinking/Stretching Sheet with Radiation, Heat Source and Inclined Lorentz Force Effects." Fractal and Fractional 6, no. 2 (January 27, 2022): 68. http://dx.doi.org/10.3390/fractalfract6020068.

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This study investigated the flow and heat transfer of sodium alginate-based hybrid nanofluids with a stretching/shrinking surface. The heat source/sink, Joule heating, inclined magnetic field, and thermal radiation influences are also examined in the designed model. The mixers of non-magnetic and magnetic nanoparticles are utilized, such as Cu and Fe3O4. The Casson fluid model is applied to determine the viscoplastic characteristics of sodium alginate (SA). The necessary governing SA-based hybrid nanofluid flow equations are solved analytically by hypergeometric function. SA-based hybrid nanofluid velocity, temperature, skin friction, and Nusselt number results are discussed in detail with various pertinent parameters, such as radiation, heat source/sink, inclined angle, magnetic field, Eckert number, and Casson parameters. It is noted that the dimensions of both Cu and Fe3O4 hybrid nanoparticles and Casson parameters are minimized by the momentum surface layer thickness. The magnetic field, radiation, heat source and Casson parameters serve to enhance the thermal boundary layer thickness. Finally, the current result was verified with previously published works.

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17

Ahmed, Sameh E., R. A. Mohamed, A. M. Ali, A. J. Chamkha, and M. S. Soliman. "MHD CASSON NANOFLUID FLOW OVER A STRETCHING SURFACE EMBEDDED IN A POROUS MEDIUM: EFFECTS OF THERMAL RADIATION AND SLIP CONDITIONS." Latin American Applied Research - An international journal 51, no. 4 (September 30, 2021): 229–39. http://dx.doi.org/10.52292/j.laar.2021.523.

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This article presents a numerical study for a magnetohydrodynamic flow of a non-Newtonian Casson nanofluid over a stretching sheet embedded in a porous medium under the impacts of non-linear thermal radiation, heat generation/absorption, Joule heating and slips boundary conditions. A two-phase nanofluid model is applied to represent the nanofluid mixture. The porous medium is represented via the Darcy model. A similar solution is obtained for the governing equations and a numerical treatment based on the Runge-Kutta method is conducted to the resulting system of equations. In this study, the controlling physical parameters are the Casson fluid parameter , the magnetic field , the radiation parameter , the Brownian motion parameter and the thermophoresis parameter . The obtained results reveal that an increase in the Casson parameter enhances both of the local Nusselt and the Sherwood number while they are reduced as the non-linear radiation parameter increases. In addition, an increase in the magnetic field parameter supports the skin friction coefficient regardless the value of the Casson parameter.

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18

Qaiser, Asif A., Rabia Nazar, Mehroz Anjum, Anem Saeed, Muhmmad Zeeshan, Basil Tahir, Muhammad Muzaffar, and Naima Jameel. "Effects of composition, temperature and shear rate on chocolate milk rheology: an empirical modeling approach incorporating yield behavior." International Journal of Food Engineering 17, no. 7 (June 18, 2021): 561–69. http://dx.doi.org/10.1515/ijfe-2019-0289.

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Abstract This study elucidates the effects of composition and temperature on the rheological behavior of chocolate milk formulation. The fat [0.5, 1 and 1.5 g] and xanthan gum contents [0.05, 0.1 and 0.15 g] varied and shear stress-strain rate data were recorded at varying temperature [21.4, 65 and 80 °C]. All compositions showed predominantly a pseudoplastic behavior [i.e., pseudoplasticity index, n < 1] with a strong influence on composition and temperature. Three semi-empirical rheological models, i.e. Power-law, Herschel–Bulkely, and Casson models were fitted on the data using an in-house developed computer program for the best statistical fit. The pseudoplasticity index [n] varied with the composition that initially decreased with temperature and subsequently increased. The other model parameters such as consistency index [k], Casson and Herschel–Bulkely yield stress, and Casson viscosity [at a specified rate i.e., 34.7 s−1] were computed through model fitting and correlated to the microstructural changes inside the fluid keeping in view the composition and temperature. This study helps in correlating chocolate milk processing and quality control based on complex microstructure to the rheological parameters measured at simulated temperatures and shear rates.

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19

Venkata Ramana Reddy GURRAMPATI, Y Hari Krishna, Seethamahalakshmi VYAKARANAM,. "MHD Casson non-Newtonian nanofluid over a nonlinear penetrable elongated sheet with thermal radiation and chemical reaction." Psychology and Education Journal 58, no. 1 (January 1, 2021): 1776–86. http://dx.doi.org/10.17762/pae.v58i1.1025.

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Consider a steady flow in two-dimensional of a viscous, incompressible Casson nano liquid over a nonlinear penetrable elongated sheet with radiation and chemical reaction. The Casson liquid rheological model is used to explain the non-Newtonian liquid attributes. Similarity variables are utilized to evaluate the governing flow model into set of nonlinear total differential equations. The outcomes of the flow equations were gotten by using Runge-Kutta alongside the shooting techniques. In other to explain the physics of the problem, impact of flow parameters are presented in graphs while computations on engineering curiosity are presented in table. Ahike in the Casson liquid term is observed to degenerate the fluid velocity alongside the momentum layer thickness. The impact of the imposed magnetic is felt by decreasing the velocity owning to the Lorentz force.

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20

Sadiq, Muhammad A., and Haitham M. S. Bahaidarah. "Numerical Study on Generalized Heat and Mass in Casson Fluid with Hybrid Nanostructures." Nanomaterials 11, no. 10 (October 11, 2021): 2675. http://dx.doi.org/10.3390/nano11102675.

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The rheological model for yield stress exhibiting fluid and the basic laws for fluid flow and transport of heat and mass are used for the formulation of problems associated with the enhancement of heat and mass due to dispersion of nanoparticles in Casson. The heat and mass transfer obey non-Fourier’s laws and the generalized Fick’s law, respectively. Model problems are incorporated by thermal relaxation times for heat and mass. Transfer of heat energy and relaxation time are inversely proportional, and the same is the case for mass transport and concentration relaxation time. A porous medium force is responsible for controlling the momentum thickness. The yield stress parameter and diffusion of momentum in Casson fluid are noticed to be inversely proportional with each other. The concentration gradient enhances the energy transfer, and temperature gradient causes an enhancement diffusion of solute in Casson fluid. FEM provides convergent solutions. The relaxation time phenomenon is responsible for the restoration of thermal and solutal changes. Due to that, the thermal and solutal equilibrium states can be restored. The phenomenon of yield stress is responsible for controlling the momentum boundary layer thickness. A porous medium exerts a retarding force on the flow, and therefore, a deceleration in flow is observed. The thermal efficiency of MoS2−SiO2−Casson fluid is greater than the thermal efficiency of SiO2−Casson fluid.

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21

Das, S., Asgar Ali, and R. N. Jana. "Insight into the dynamics of magneto-casson hybrid nanoliquid caused by a plate rotation." World Journal of Engineering 18, no. 1 (November 18, 2020): 66–84. http://dx.doi.org/10.1108/wje-07-2020-0261.

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Purpose This paper aims to present the analytical investigation on an unsteady magneto-convective rotation of an electrically conducting non-Newtonian Casson hybrid nanoliquid past a vertical porous plate. The effects of thermal radiation, heat source/sink and hydrodynamic slip phenomenon are also taken into account. Ethylene glycol (EG) is adopted as a base Casson fluid. The Casson fluid model is accounted for to describe the rheological characteristics of non-Newtonian fluid. EG with copper and alumina nanoparticles is envisaged as a non-Newtonian Casson hybrid nanoliquid. The copper-alumina-ethylene glycol hybrid nanoliquid is considered as the regenerative coolant. Design/methodology/approach The perturbation method is implemented to develop the analytical solution of the modeled equations. Acquired solutions are used to calculate the shear stresses and the rate of heat transfer in terms of amplitudes and phase angles. Numerical results are figured out and tabled to inspect the physical insights of various emerging parameters on the pertinent flow characteristics. Findings This exploration discloses that the velocity profiles are strongly diminished by the slip parameter. Centrifugal and Coriolis forces caused by the plate rotation are found to significantly change the entire flow regime. The supplementation of nanoparticles is to lessen the amplitude of the heat transfer rate. A comparative study is carried out to understand the improvement of heat transfer characteristics of Casson hybrid nanoliquid and Casson nanoliquid. However, the Casson hybrid nanoliquid exhibits a lower rate of heat transfer than the usual Casson nanoliquid. Practical implications This proposed model would be pertinent in oceanography, meteorology, atmospheric science, power engineering, power and propulsion generation, solar energy transformation, thermoelectric and sensing material processing, tumbler in polymer manufacturing, etc. Motivated by such practical implications, the proposed study has been unfolded. Originality/value The novelty of this paper is to examine the simultaneous effects of the magnetic field, Coriolis force, suction/injection, slip condition and thermal radiation on non-Newtonian Casson hybrid nanoliquid flow past an oscillating vertical plate subject to periodically heating in a rotating frame of reference. A numerical comparison is also made with the existing published results under some limiting cases and it is found that the results are in good agreement with them. An in-depth review of the literature and the author’s best understanding find that such aspects of the problem have so far remained unexplored.

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Sene, Ndolane. "A Numerical Algorithm Applied to Free Convection Flows of the Casson Fluid along with Heat and Mass Transfer Described by the Caputo Derivative." Advances in Mathematical Physics 2021 (June 23, 2021): 1–11. http://dx.doi.org/10.1155/2021/5225019.

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In this paper, we present a class of numerical schemes and apply it to the diffusion equations. The objective is to obtain numerical solutions of the constructive equations of a type of Casson fluid model. We investigate the solutions of the free convection flow of the Casson fluid along with heat and mass transfer in the context of modeling with the fractional operators. The numerical scheme presented in this paper is called the fractional version of the Adams Basford numerical procedure. The advantage of this numerical technique is that it combines the Laplace transforms and the classical Adams Basford numerical procedure. Note that the usage of the Laplace transforms makes possible the applicability of the numerical approach to diffusion equations in general. The Caputo derivative will be used in the investigations. The influence of the considered Casson fluid model parameters as the Prandtl number Pr , the Schmidt number Sc , the material parameter of the Casson fluid β , and the order of the Caputo fractional derivative on the dynamics of the temperature, concentration, and velocity profiles has been presented analyzed. Graphical representations have supported the results of the paper.

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23

Mutuku, Winifred N., and Anselm O. Oyem. "CASSON FLUID OF A STAGNATION-POINT FLOW (SPF) TOWARDS A VERTICAL SHRINKING/STRETCHING SHEET." FUDMA JOURNAL OF SCIENCES 5, no. 1 (June 14, 2021): 16–26. http://dx.doi.org/10.33003/fjs-2021-0501-508.

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This study presents a convectively heated hydromagnetic Stagnation-Point Flow (SPF) of an electrically conducting Casson fluid towards a vertically stretching/shrinking sheet. The Casson fluid model is used to characterize the non-Newtonian fluid behaviour and using similarity variables, the governing partial differential equations are transformed into coupled nonlinear ordinary differential equations. The dimensionless nonlinear equations are solved numerically by Runge-Kutta Fehlberg integration scheme with shooting technique. The effects of the thermophysical parameters on velocity and temperature profiles are presented graphically and discussed quantitatively. The result shows that the flow field velocity decreases with increase in magnetic field parameter and Casson fluid parameter .

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Rehman, Khalil Ur, M. Y. Malik, Waqar A. Khan, Ilyas Khan, and S. O. Alharbi. "Numerical Solution of Non-Newtonian Fluid Flow Due to Rotatory Rigid Disk." Symmetry 11, no. 5 (May 22, 2019): 699. http://dx.doi.org/10.3390/sym11050699.

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In this article, the non-Newtonian fluid model named Casson fluid is considered. The semi-infinite domain of disk is fitted out with magnetized Casson liquid. The role of both thermophoresis and Brownian motion is inspected by considering nanosized particles in a Casson liquid spaced above the rotating disk. The magnetized flow field is framed with Navier’s slip assumption. The Von Karman scheme is adopted to transform flow narrating equations in terms of reduced system. For better depiction a self-coded computational algorithm is executed rather than to move-on with build-in array. Numerical observations via magnetic, Lewis numbers, Casson, slip, Brownian motion, and thermophoresis parameters subject to radial, tangential velocities, temperature, and nanoparticles concentration are reported. The validation of numerical method being used is given through comparison with existing work. Comparative values of local Nusselt number and local Sherwood number are provided for involved flow controlling parameters.

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25

Santhosh, H. B., Mahesha, and C. S. K. Raju. "Unsteady Carreau-Casson fluids over a radiated shrinking sheet in a suspension of dust and graphene nanoparticles with non-Fourier heat flux." Nonlinear Engineering 8, no. 1 (January 28, 2019): 419–28. http://dx.doi.org/10.1515/nleng-2017-0158.

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Abstract This study gives unsteady radiative magneto hydrodynamic Carreau-Casson fluids in suspension of graphene particle with Cattaneo-Christov model. A simulation is performed by mixing of graphene nanoparticles into the base water. The arising set of governing partial differential equations (PDEs) are transformed into set of ordinary differential equations (ODEs) using similarity transformations and then solved numerically using shooting technique with Runge-Kutta (RK) method. The computational results for non-dimensional temperature and velocity profiles are presented through graphs and tables. We also presented the numerical values of physical quantities (friction factor and local numbers) for various physical parameters. We compared the present results with existing literature under some limited case. At the end of this analysis we concluded that, the temperature profiles are higher in Casson fluid when compared to Carreau fluid. Similarly, the friction between the particles is more in Casson fluid compare to Carreau fluid, and heat transfer rate is high in Carreau fluid compared to Casson fluid. This help us to conclude that the cooling treatment by using Casson fluid is useful compared to Carreau fluid over unsteady sheet.

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26

Ghoneim, Nourhan I. "Numerical treatment for solving a model of non-Newtonian Casson fluid flow over an extensible sheet based on maritime field." International Journal of Modern Physics C 32, no. 06 (February 22, 2021): 2150078. http://dx.doi.org/10.1142/s0129183121500789.

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Анотація:

A numerical solution for steady-state, incompressible, laminar Casson fluid flow and heat transfer in the combined region of a boundary layer is presented for the case of mixed convection and slip velocity. Before introducing the present technique of non-Newtonian Casson model, reviewing the literature has been carefully performed, an improved technique for this model is studied, which has not been previously reported. The presented analysis involves the harness of a magnetic field, viscous dissipation, internal heat generation/absorption and the slip velocity. Finite difference method (FDM) has been used to get an accurate and complete numerical solution. In this novel study, it is proved by means of a finite difference technique, that the velocity and the thermal field may be influenced with the presence of mixed convection phenomenon. The results show that both the fluid velocity and temperature may be predicted from the values of the controlling parameters. Finally, the graphical output reveals that the fluid velocity is diminished by strengthening both the Hartman number and the Casson parameter while the reverse characteristics are observed for the Grashof number.

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27

Khan, Shahid, Mahmoud M. Selim, Khaled A. Gepreel, Asad Ullah, Ikramullah, Muhammad Ayaz, Wali Khan Mashwani, and Emel Khan. "An analytical investigation of the mixed convective Casson fluid flow past a yawed cylinder with heat transfer analysis." Open Physics 19, no. 1 (January 1, 2021): 341–51. http://dx.doi.org/10.1515/phys-2021-0040.

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Abstract The hydrodynamic flow of an incompressible and isotropic Casson fluid through a yawed cylinder is investigated by employing continuity, momentum, and energy equations satisfying suitable boundary conditions. The density variation is governed by Boussinesq approximation. The model equations consisting of coupled partial differential equations (PDEs) are transformed by applying non-similar transformation relations. The set of transformed PDEs is solved using the analytical technique of homotopy analysis method (HAM). The impacts of varying yaw angle, and mixed convection and Casson parameters over fluid velocity (chordwise and spanwise components), its temperature, Nusselt number, and skin friction coefficients are investigated and explained through various graphs. It is found that the enhancing yaw angle, Casson parameter, and convection parameter augment the fluid velocity, heat transfer rate, and skin friction and reduce the fluid temperature. The agreement of present and published results justifies the application of HAM in modeling the mixed convective Casson fluid flow past a yawed cylinder.

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28

Kirsanov, Evgeny A., and Sergey V. Remizov. "Application of the Casson model to thixotropic waxy crude oil." Rheologica Acta 38, no. 2 (July 2, 1999): 172–76. http://dx.doi.org/10.1007/s003970050166.

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29

Eckart, Winfried. "Phenomenological Modeling of Electrorheological Fluids with an Extended Casson -Model." Continuum Mechanics and Thermodynamics 12, no. 5 (September 30, 2000): 341–62. http://dx.doi.org/10.1007/s001610050141.

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30

Yusuf, Tunde Abdulkadir, Toyin Wasiu Akaje, Sulyman O. Salawu, and Jacob Abiodun Gbadeyan. "Arrhenius Activation Energy Effect on a Stagnation Point Slippery MHD Casson Nanofluid Flow with Entropy Generation and Melting Heat Transfer." Defect and Diffusion Forum 408 (April 2021): 1–18. http://dx.doi.org/10.4028/www.scientific.net/ddf.408.1.

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This study features the entropy generation analysis on a steady two-dimensional flow of an incompressible Casson fluid with heat and mass transfer over a heated linearly stretching surface is investigated using a modified Arrhenius activation energy. The appropriate model governing the physical phenomenon is converted into a dimensionless equation with the aid of appropriate transformation and are numerically solved using the spectral collocation method. The present research model is concerned to study the stagnation point slippery flow, heat, and mass transfer analysis of a Casson fluid flow past an elastic surface with the impact of a magnetic field. The study focuses on the influences of Arrhenius activation energy, melting heat transfer, and heat source on heat and mass transfer behavior posed by Casson fluid. The magnitude of skin becomes lesser for larger values of slip parameter while the rate of mass transfer is enhanced via greater values of the destructive chemical reaction. Also, an excellent agreement is shown with previous studies for the limiting case.

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31

Shibeshi, Shewaferaw S., and William E. Collins. "The Rheology of Blood Flow in a Branched Arterial System." Applied Rheology 15, no. 6 (December 1, 2005): 398–405. http://dx.doi.org/10.1515/arh-2005-0020.

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AbstractBlood flow rheology is a complex phenomenon. Presently there is no universally agreed upon model to represent the viscous property of blood. However, under the general classification of non-Newtonian models that simulate blood behavior to different degrees of accuracy, there are many variants. The power law, Casson and Carreau models are popular non-Newtonian models and affect hemodynamics quantities under many conditions. In this study, the finite volume method is used to investigate hemodynamics predictions of each of the models. To implement the finite volume method, the computational fluid dynamics software Fluent 6.1 is used. In this numerical study the different hemorheological models are found to predict different results of hemodynamics variables which are known to impact the genesis of atherosclerosis and formation of thrombosis. The axial velocity magnitude percentage difference of up to 2 % and radial velocity difference up to 90 % is found at different sections of the T-junction geometry. The size of flow recirculation zones and their associated separation and reattachment point’s locations differ for each model. The wall shear stress also experiences up to 12 % shift in the main tube. A velocity magnitude distribution of the grid cells shows that the Newtonian model is close dynamically to the Casson model while the power law model resembles the Carreau model.

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32

Sandeep, N., and I. L. Animasaun. "Theoretical Exploration of Exponential Heat Source and Thermal Stratification Effects on The Motion of 3-Dimensional Flow of Casson Fluid Over a Low Heat Energy Surface at Initial Unsteady Stage." Journal of Theoretical and Applied Mechanics 47, no. 2 (June 27, 2017): 61–82. http://dx.doi.org/10.1515/jtam-2017-0010.

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AbstractWithin the last few decades, experts and scientists dealing with the flow of non-Newtonian fluids (most especially Casson fluid) have confirmed the existence of such flow on a stretchable surface with low heat energy (i.e. absolute zero of temperature). This article presents the motion of a three-dimensional of such fluid. Influence of uniform space dependent internal heat source on the intermolecular forces holding the molecules of Casson fluid is investigated. It is assumed that the stagnation flow was induced by an external force (pressure gradient) together with impulsive. Based on these assumptions, variable thermophysical properties are most suitable; hence modified kinematic viscosity model is presented. The system of governing equations of 3-dimensional unsteady Casson fluid was non-dimensionalized using suitable similarity transformation which unravels the behavior of the flow at full fledge short period. The numerical solution of the corresponding boundary value problem (ODE) was obtained using Runge-Kutta fourth order along with shooting technique. The intermolecular forces holding the molecules of Casson fluid flow in both horizontal directions when magnitude of velocity ratio parameters are greater than unity breaks continuously with an increase in Casson parameter and this leads to an increase in velocity profiles in both directions.

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33

Hsu, C. H., H. H. Vu, and Y. H. Kang. "The Rheology of Blood Flow in a Branched Arterial System with Three-Dimensional Model: A Numerical Study." Journal of Mechanics 25, no. 4 (December 2009): N21—N24. http://dx.doi.org/10.1017/s1727719100002951.

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ABSTRACTBlood flow rheology is a very complex phenomenon. Hemodynamics owns Newtonian or non-Newtonian characteristic is still debatable. Recently, studies related to blood tend to classify blood as non-Newtonian fluid. In this research, power law, Casson and Carreau which are being the most popular non-Newtonian models are applied to investigate the hemodynamics variables that influence formation of thrombosis and predict damageability to blood cell. The branched arterial system is simplified as T-junction geometry and the computational fluid dynamics software Fluent 6.2 with finite volume method is utilized to analyze the blood flow rheology in cases of continuous and pulsatile flow. The analysis results are compared with that of Newtonian model and give out very interesting hemodynamics predictions for each model. The size of recirculation zone is different from each model that is observed significantly. The wall shear stress of Carreau model gets the highest value, 14% in case of continuous flow and around 17% in pulsatile case bigger than that of Newtonian model. The results of pulsatile flow show that the Newtonian model is closed to power law model while the Casson model is similar to the Carreau model.

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34

PANDEY, S. K., and DHARMENDRA TRIPATHI. "PERISTALTIC TRANSPORT OF A CASSON FLUID IN A FINITE CHANNEL: APPLICATION TO FLOWS OF CONCENTRATED FLUIDS IN OESOPHAGUS." International Journal of Biomathematics 03, no. 04 (December 2010): 453–72. http://dx.doi.org/10.1142/s1793524510001100.

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This model is targeted to study the swallowing of peristaltically driven food stuff such as jelly, tomato puree, soup, concentrated fruit juices and honey in the aboral direction confined to an oesophagus by modeling it as finite channel. Considering such highly concentrated fluids as Casson fluid in the fully stretched activated state, the dependence of pressure on space and time has been investigated for time averaged flow rate. Pressure distribution has been studied along the oesophageal length for an integral and also a non-integral number of waves at different time instants. Local wall shear stress and the role of yield stress have also been the areas of investigation. Mechanical efficiency of oesophageal pump during the Casson food transportation has been obtained. Reflux limit of perstaltically driven flow of Casson food bolus has also been discussed. The effect of Casson food bolus vis-à-vis Newtonian food bolus has been compared analytically, numerically and computationally from investigation point of view. It is observed that the pressure distribution is even and uneven respectively for the case of integral and non-integral number of waves. It is also concluded that it is not as easy to swallow Casson fluids (such as concentrated jelly, honey, soup, juice, etc.) as Newtonian fluids (such as water). As plug flow region widens, the pressure difference increases, indicating thereby that the averaged flow rate will be less for a Casson fluid. Physically, the oesophagus works more to swallow fluids with high concentration. It is also inferred that such fluids are more prone to reflux.

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35

Aman, Sidra, Syazwani Mohd Zokri, Zulkhibri Ismail, Mohd Zuki Salleh, and Ilyas Khan. "Casson Model of MHD Flow of SA-Based Hybrid Nanofluid Using Caputo Time-Fractional Models." Defect and Diffusion Forum 390 (January 2019): 83–90. http://dx.doi.org/10.4028/www.scientific.net/ddf.390.83.

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In this paper MHD flow of Casson hybrid nanofluids are investigated with Caputo time-fractional derivative. Alumina (Al) and copper (Cu) are used as nanoparticles in this study with heat, mass transfer and MHD flow over a vertical channel in a porous medium. The problem is modeled using Caputo fractional derivatives and thermophysical properties of hybrid nanoparticles. The influence of concerned parameters is investigated physically and graphically on the heat, concentration and flow. The effect of volume fraction on thermal conductivity of hybrid nanofluids is observed.

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36

Murthy, M. Krishna, Chakravarthula S. K. Raju, V. Nagendramma, S. A. Shehzad, and Ali J. Chamkha. "Magnetohydrodynamics Boundary Layer Slip Casson Fluid Flow over a Dissipated Stretched Cylinder." Defect and Diffusion Forum 393 (June 2019): 73–82. http://dx.doi.org/10.4028/www.scientific.net/ddf.393.73.

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Magnetohydrodynamics (MHD) boundary layer slip Casson fluid flow over a dissipated moving cylinder is explored. Casson fluid model is employed as a non-Newtonian material that demonstrates the phenomenon of yield stress. Blood material is considered to be an example of Casson liquid. The non-linear partial differential quantities are transformed into expressions of ordinary derivatives through transformation of similarity variables. These equations are computed for numeric solutions by using Runge-Kutta method along with shooting scheme. The impact of pertinent constraints on the fluid velocity and temperature are examined through graphs. The coefficient of the skin friction and the rate of heat transfer are found numerically. Comparing of the present study with the earlier results is also presented. We observed that the coefficient of skin friction increases for higher values of Hartmann number.

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37

Rashidi, Mohammad, Zhigang Yang, Muhammad Bhatti, and Munawwar Abbas. "Heat and mass transfer analysis on MHD blood flow of Casson fluid model due to peristaltic wave." Thermal Science 22, no. 6 Part A (2018): 2439–48. http://dx.doi.org/10.2298/tsci160102287r.

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In this article, heat and mass transfer analysis on MHD blood flow of Casson fluid model due to peristaltic wave has been investigated. The governing equations of blood flow for Casson fluid model, temperature, and energy equation have been solved by taking the assumption of long wavelength and neglecting the inertial forces. The resulting coupled differential equations have been solved analytically and the exact solutions are presented. The impact of various pertinent parameters is plotted and discussed. It is found that the influence of magnetic field and fluid parameter shows similar behavior on velocity profile while its behavior is opposite for pressure rise and pressure gradient profile. Trapping phenomena have also taken into account by sketching the streamlines. The expression for pressure rise and friction forces are evaluated numerically.

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38

Reddy, Vinodh Srinivasa, Jagan Kandasamy, and Sivasankaran Sivanandam. "Impacts of Casson Model on Hybrid Nanofluid Flow over a Moving Thin Needle with Dufour and Soret and Thermal Radiation Effects." Mathematical and Computational Applications 28, no. 1 (December 27, 2022): 2. http://dx.doi.org/10.3390/mca28010002.

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The current study used a novel Casson model to investigate hybrid Al2O3-Cu/Ethylene glycol nanofluid flow over a moving thin needle under MHD, Dufour–Soret effects, and thermal radiation. By utilizing the appropriate transformations, the governing partial differential equations are transformed into ordinary differential equations. The transformed ordinary differential equations are solved analytically using HAM. Furthermore, we discuss velocity profiles, temperature profiles, and concentration profiles for various values of governing parameters. Skin friction coefficient increases by upto 45% as the Casson parameter raised upto 20%, and the heat transfer rate also increases with the inclusion of nanoparticles. Additionally, local skin friction, a local Nusselt number, and a local Sherwood number for many parameters are entangled in this article.

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39

Sankar, D. S., and Usik Lee. "Two-fluid Casson model for pulsatile blood flow through stenosed arteries: A theoretical model." Communications in Nonlinear Science and Numerical Simulation 15, no. 8 (August 2010): 2086–97. http://dx.doi.org/10.1016/j.cnsns.2009.08.021.

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40

Alwawi, Firas A., Hamzeh T. Alkasasbeh, AM Rashad, and Ruwaidiah Idris. "Heat transfer analysis of ethylene glycol-based Casson nanofluid around a horizontal circular cylinder with MHD effect." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234, no. 13 (March 2, 2020): 2569–80. http://dx.doi.org/10.1177/0954406220908624.

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In this work, efforts were taken to investigate the free convection of ethylene glycol-based Casson nanofluid and it is affected by a magnetic field about a horizontal circular cylinder. Three different types of oxide nanoparticles were used along with constant wall temperature. Tiwari and Das's nanofluid model was used to investigate the MHD free convective flow of Casson nanofluid. The transformed governing PDEs were solved via the Keller box method. Numerical and graphical findings were acquired by using MATLAB software, in addition to studying and analyzing the influence of related parameters, on the velocity, temperature, local skin friction coefficient, and local Nusselt number. The results demonstrate that copper oxide ethylene glycol-based Casson nanofluid has the lowest local Nusselt number, velocity and, it has the highest temperature. Also, our results were in excellent agreement with prior published results.

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41

Gireesha, B. J., and S. Sindhu. "MHD natural convection flow of Casson fluid in an annular microchannel containing porous medium with heat generation/absorption." Nonlinear Engineering 9, no. 1 (May 6, 2020): 223–32. http://dx.doi.org/10.1515/nleng-2020-0010.

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AbstractThis study has been conducted to focus on natural convection flow of Casson fluid through an annular microchannel formed by two cylinders in the presence of magnetic field. The process of heat generation/absorption is taken into consideration. Combined effects of various parameters such as porous medium, velocity slip and temperature jump are considered. Solution of the present mathematical model is obtained numerically using fourth-fifth order Runge-Kutta-Fehlberg method. The flow velocity, thermal field, skin friction and Nusselt number are scrutinized with respect to the involved parameters of interest such as fluid wall interaction parameter, rarefaction parameter, Casson parameter and Darcy number with the aid of graphs. It is established that higher values of Casson parameter increases the skin friction coefficient. Further it is obtained that rate of heat transfer diminishes as fluid wall interaction parameter increases.

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42

Wiśniowski, Rafał, Krzysztof Skrzypaszek, and Tomasz Małachowski. "Selection of a Suitable Rheological Model for Drilling Fluid Using Applied Numerical Methods." Energies 13, no. 12 (June 19, 2020): 3192. http://dx.doi.org/10.3390/en13123192.

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The accuracy of fitting the rheological model to the properties of actual drilling fluid minimises the errors of the calculated technological parameters applied while drilling oil wells. This article presents the methodology of selecting the optimum drilling fluid rheological model. Apart from classical rheological models, i.e., the Newtonian, Bingham Plastic, Casson, Ostwald de Waele and Herschel–Bulkley models, it has been proposed to consider the Vom Berg and Hahn-Eyring models, which have not been applied to describe drilling fluids so far. In the process of determining rheological parameters for the Bingham Plastic, Casson, Ostwald de Waele and Newtonian models, it is proposed to use a linear regression method. In the case of the Herschel–Bulkley, Vom Berg and Hahn-Eyring models, it is suggested to use a non-linear regression method. Based on theoretical considerations and mathematical relations developed in the Department of Drilling and Geoengineering, Drilling, Oil and Gas Faculty, at AGH University of Science and Technology, an original computer program called Rheosolution was developed, which enables automation of the process of determining the optimum drilling fluid rheological model. Some examples show the practical application of the method of selecting the optimum drilling fluid rheological model. Taking into account data from actual measurements of drilling fluid properties, it has been proven that the Vom Berg and Hahn-Eyring rheological models are best fitted to the description of drilling fluid rheological parameters.

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43

Wan Faezah Wan Azmi, Ahmad Qushairi Mohamad, Lim Yeou Jiann, and Sharidan Shafie. "Free Convection Caputo-Fabrizio Casson Blood Flow in the Cylinder with Slip Velocity." CFD Letters 15, no. 3 (February 3, 2023): 35–47. http://dx.doi.org/10.37934/cfdl.15.3.3547.

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Recently, fluid with fractional-order derivative model attracted many researchers to further study compared with the classical fluid mode since it is more precise and realistic. To imitate the applications of blood flow in narrow arteries, researchers focused on the fractional Casson fluid flow in the cylinder. However, most researchers solved the problems numerically and without considering the slip effect at the boundary. Thus, obtaining solutions analytically to the unsteady fractional Casson fluid flow in the slip cylinder with free convection is the goal of this study. The Caputo-Fabrizio fractional derivative approach is utilized to model this problem. By joining the approach of the Laplace transform and finite Hankel transform, the fractional governing equations are solved, and analytical solutions to the velocity and temperature profiles are gained. The fluid velocity rises as the slip velocity and Grashof number increase and it declines with the increment of the Casson parameter and Prandtl number. Increasing the fractional parameter will result in an increase in fluid velocity and temperature for a large time interval. The slip velocity effect influenced fluid flow, especially at the cylinder’s wall. These findings are beneficial to explore the more fractional-order derivative model and for studying the problems in biomedical engineering.

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44

R, Keerthi, B. Mahanthesh, and Smita Saklesh Nagouda. "Rayleigh–Bénard convection in a non-Newtonian dielectric fluid with Maxwell–Cattaneo law under the effect of internal heat generation/consumption." Multidiscipline Modeling in Materials and Structures 16, no. 5 (April 17, 2020): 1175–88. http://dx.doi.org/10.1108/mmms-09-2019-0174.

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PurposeThe study of instability due to the effects of Maxwell–Cattaneo law and internal heat source/sink on Casson dielectric fluid horizontal layer is an open question. Therefore, in this paper, the impact of internal heat generation/absorption on Rayleigh–Bénard convection in a non-Newtonian dielectric fluid with Maxwell–Cattaneo heat flux is investigated. The horizontal layer of the fluid is cooled from the upper boundary, while an isothermal boundary condition is utilized at the lower boundary.Design/methodology/approachThe Casson fluid model is utilized to characterize the non-Newtonian fluid behavior. The horizontal layer of the fluid is cooled from the upper boundary, while an isothermal boundary condition is utilized at the lower boundary. The governing equations are non-dimensionalized using appropriate dimensionless variables and the subsequent equations are solved for the critical Rayleigh number using the normal mode technique (NMT).FindingsResults are presented for two different cases namely dielectric Newtonian fluid (DNF) and dielectric non-Newtonian Casson fluid (DNCF). The effects of Cattaneo number, Casson fluid parameter, heat source/sink parameter on critical Rayleigh number and wavenumber are analyzed in detail. It is found that the value Rayleigh number for non-Newtonian fluid is higher than that of Newtonian fluid; also the heat source aspect decreases the magnitude of the Rayleigh number.Originality/valueThe effect of Maxwell–Cattaneo heat flux and internal heat source/sink on Rayleigh-Bénard convection in Casson dielectric fluid is investigated for the first time.

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Eldabe, Nabil T. M., Bothaina M. Agoor, and Heba Alame. "Peristaltic Motion of Non-Newtonian Fluid with Heat and Mass Transfer through a Porous Medium in Channel under Uniform Magnetic Field." Journal of Fluids 2014 (April 10, 2014): 1–12. http://dx.doi.org/10.1155/2014/525769.

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This paper is devoted to the study of the peristaltic motion of non-Newtonian fluid with heat and mass transfer through a porous medium in the channel under the effect of magnetic field. A modified Casson non-Newtonian constitutive model is employed for the transport fluid. A perturbation series’ method of solution of the stream function is discussed. The effects of various parameters of interest such as the magnetic parameter, Casson parameter, and permeability parameter on the velocity, pressure rise, temperature, and concentration are discussed and illustrated graphically through a set of figures.

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46

Abbas, W., and Ahmed M. Megahed. "Numerical solution for chemical reaction and viscous dissipation phenomena on non-Newtonian MHD fluid flow and heat mass transfer due to a nonuniform stretching sheet with thermal radiation." International Journal of Modern Physics C 32, no. 09 (May 12, 2021): 2150124. http://dx.doi.org/10.1142/s0129183121501242.

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Many studies have been performed on non-Newtonian fluid flow through the nonuniform stretching sheet. In most cases, the problem is assumed to be two-dimensional fluid flow and a similarity solution is exploited. In this paper, we consider the effect of viscous dissipation on the MHD non-Newtonian fluid flow and heat mass transfer due to slendering stretching sheet with thermal radiation. Both Williamson and Casson models are opted here while the mathematical modeling is used for the principle flow equations. By dimensionless transformation, the governing equations are transformed to identically coupled three equations along with three common boundary conditions imposed. They are then solved numerically by using Chebyshev spectral method for different values of the physical parameters involved. These governing parameters are graphically shown to have a considerable influence on the fluid flow and heat mass transfer characteristics of this model. Local heat transfer rate is found to depend on both magnetic parameter and Casson parameter in addition to the Eckert number dependence. Likewise, due to increase of Casson parameter, the sheet temperature and the thermal boundary layer thickness enhances and also the same behavior is observed for increasing the radiation parameter.

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47

Kirsanov, E. A., S. V. Remizov, N. V. Novoselova, and V. N. Matveenko. "Physical meaning of the rheological coefficients in the generalized Casson model." Moscow University Chemistry Bulletin 62, no. 1 (February 2007): 18–21. http://dx.doi.org/10.3103/s0027131407010051.

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48

Devi, Mamta, Urvashi Gupta, and Jyoti Sharma. "Casson Nanofluid Instability with Viscosity and Conductivity Variation Using Brinkman Model." Journal of Nanofluids 12, no. 4 (May 1, 2023): 955–66. http://dx.doi.org/10.1166/jon.2023.1978.

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The present work investigates the onset of convective instability of a non-Newtonian Casson nanofluid layer saturating a porous medium. Conductivity and viscosity are taken to be linear functions of nanoparticle volume fraction and Darcy-Brinkman model is used to modify the momentum equation. It is assumed that all the physical variables undergo a small disturbance on the basic solution and the normal mode technique is used to convert partial differential equations into ODE’s to get the expression of thermal Rayleigh number. Darcy parameter, non-Newtonian fluid property and conductivity variation parameter are coupled together leading to a significant increase in the stability of the layer. Numerical computations are carried out for various base fluids (water, oil, blood, glycol) under different porous phases (glass wool, limestone, sand) for metallic and non-metallic nanoparticles (copper, Iron, alumina, silicon oxide) using the software Wolfram Mathematica (version 12.0). The novelty of the work lies in the fact that the conductivity variation pattern for porous media is established as glass wool < limestone < sand and for base fluids as water < blood < glycol < oil. Maximum conductivity variation is observed for copper-oil nanofluid with sand as porous medium and glass saturated with alumina-water nanofluid shows the minimum variation. Oscillatory mode is found to dominate the instability state for bottom-heavy fluid layer. Darcy parameter stabilizes the fluid layer while porosity effects are destabilizing. Metals are found to be more stable as compare to non-metals.

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49

Dhange, Mallinath, Gurunath Sankad, Rabia Safdar, Wasim Jamshed, Mohamed R. Eid, Umesh Bhujakkanavar, Soumaya Gouadria, and R. Chouikh. "A mathematical model of blood flow in a stenosed artery with post-stenotic dilatation and a forced field." PLOS ONE 17, no. 7 (July 1, 2022): e0266727. http://dx.doi.org/10.1371/journal.pone.0266727.

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Arterial stenosis is a common cardiovascular disease that restricts blood flow. A stenotic blood vessel creates tangent stress pressure, which lessens the arterial side and causes an aneurysm. The primary purpose of this study is to investigate blood flowing via an inclination pipe with stricture and expansion after stricture (widening) underneath the influence of a constant incompressible Casson liquid flowing with the magnetism field. The relations for surface shearing stress, pressure drop, flow resistance, and velocity are calculated analytically by applying a mild stenosis approximation. The effect of different physical characteristics on liquid impedance to flowing, velocity, and surface shearing stress are studied. With a non-Newtonian aspect of the Casson liquid, the surface shearing stress declines, and an impedance upturn. Side resistivity and shear-stress increase with the elevations of stricture, whilst together decreasing with a dilatation height.

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50

Ahmad, Iftikhar, Naveed Qureshi, Kamel Al-Khaled, Samaira Aziz, Wathek Chammam, and Sami Ullah Khan. "Magnetohydrodynamic Time Dependent 3-D Simulations for Casson Nano-Material Configured by Unsteady Stretched Surface with Thermal Radiation and Chemical Reaction Aspects." Journal of Nanofluids 10, no. 2 (June 1, 2021): 232–45. http://dx.doi.org/10.1166/jon.2021.1779.

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Modern evaluation in the nano-technology pronounced the nanofluidci idea accumulating the exceptional thermal conductivities which reflect many novel applications in engineering, solar energy processes, thermal engineering and modern technologies. On account of this, current research analysis addresses the time dependent flow of Casson nanofluid across bidirectional unsteady stretched heated surface accounted with porous zone. The combined mass and thermal transportation features are examined by introducing renowned Buongiorno’s nanofluid model. The magnetic evaluation, radiative exploration and reaction assertive are further deliberated for physical relevance. The formulated nonlinear flow model pondered to dimensionless category by utilizing appropriate quantities and later the analytic solution is revealed by homotopic analytic technique. The complete graphical elucidation for distinct relevant variables on temperature, velocities, concentration and skin frictions are displayed. The results emphasized that diminishing trends are reported in both velocity components with magnetic and Casson material parameters. An increasing behavior of nanofluid temperature is observed for Casson liquid material. The radiation parameter enhances nanofluid temperature while concentration profile is retarded with chemical reaction. Furthermore, unsteadiness variable enhances velocities, concentration as well as temperature distributions. The obtained results present applications in energy utilization, solar energy progression, chemical engineering, bioscience, extrusion processes, microelectronics etc.

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