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Academic literature on the topic 'Equations in fluid flow study'

Author: Grafiati

Published: 4 June 2021

Last updated: 10 February 2022

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Journal articles on the topic "Equations in fluid flow study"

1

Ueyama, K. "A study of two-fluid model equations." Journal of Fluid Mechanics 690 (November 25, 2011): 474–98. http://dx.doi.org/10.1017/jfm.2011.452.

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AbstractA theoretical study of the interaction term in the two-fluid model equations is presented. The relevant Navier–Stokes equation is volume-integrated in a control volume fixed in a field of dispersed two-phase flow; then it is time-integrated. An expression for the interaction term is obtained in the limit of infinitesimal control volume, which rigorously fits to the two-fluid model equation based on time averaging. The interaction term is then analysed for dispersed two-phase flow with homogeneous particle size. The mathematical expression of the resulting interaction term clearly shows its property, which has been overlooked for more than 40 years. It can be decomposed into the conventional interaction term and an additional ‘virtual force’ term. The virtual force term is evaluated approximately for two types of dispersed multiphase flow in order to demonstrate its effectiveness. The first is solid–liquid dispersed two-phase flow with spherical solid particles undergoing creeping flow, and the second is gas–liquid dispersed two-phase flow with large bubbles in a highly turbulent flow field. For solid spherical particles in a homogeneous creeping flow, the term vanishes, as was found numerically by Ten Cate and Sundaresan (Intl J. Multiphase Flow, vol. 32, 2006, pp. 106–131), although the term could be significant for a flow field with velocity gradient. For large bubbles in bubble columns in a recirculating turbulent flow regime, the term is significant. The two-fluid model equations are corrected by the introduction of these virtual force terms, which in some circumstances are important in simulating the macroscopic properties of dispersed two-phase flow with spatial variations.

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Nguyen, P. V., and O. P. Chandna. "Hodographic study of non-Newtonian MHD aligned steady plane fluid flows." International Journal of Mathematics and Mathematical Sciences 13, no. 1 (1990): 93–113. http://dx.doi.org/10.1155/s0161171290000138.

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A study is made of non-Newtonian HHD aligned steady plane fluid flows to find exact solutions for various flow configurations. The equations of motion have been transformed to the hodograph plane. A Legendre-transform function is used to recast the equations in the hodograph plane in terms of this transform function. Solutions for various flow configurations are obtained. Applications are investigated for the fluids of finite and infinite electrical conductivity bringing out the similarities and contrasts in the solutions of these types of fluids.

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Madani Tonekaboni, Seyed Ali, Ramin Abkar, and Reza Khoeilar. "On the Study of Viscoelastic Walters' B Fluid in Boundary Layer Flows." Mathematical Problems in Engineering 2012 (2012): 1–18. http://dx.doi.org/10.1155/2012/861508.

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Viscoelastic Walters' B fluid flows for three problems, stagnation-point flow, Blasius flow, and Sakiadis flow, have been investigated. In each problem, Cauchy equations are changed to a nondimensional differential equations using stream functions and with assumption of boundary layer flow. The fourth-order predictor-corrector finite-difference method for solving these nonlinear differential equations has been employed. The results that have been obtained using this method are compared with the results of the last studies, and it is clarified that this method is more accurate. It is also shown that the results of last study about Sakiadis flow of Walter's B fluid are not true. In addition, the effects of order of discretization in the boundaries are investigated. Moreover, it has been discussed about the valid region of Weissenberg numbers for the second-order approximation of viscoelastic fluids in each case of study.

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Hsu, C. H., S. Y. Hu, K. Y. Kung, C. C. Kuo, and C. C. Chang. "A Study on the Flow Patterns of a Second Grade Viscoe-Lastic Fluid Past a Cavity in a Horizontal Channel." Journal of Mechanics 29, no. 2 (December 20, 2012): 207–15. http://dx.doi.org/10.1017/jmech.2012.143.

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AbstractThis paper studies the behavior of second grade viscoelastic fluid past a cavity in a horizontal channel. The effects of Reynolds number, fluid elasticity and the aspect ratio of the cavity on the flow field are simulated numerically. The equations are converted into the vorticity and stream function equations. The solution is obtained by the finite difference method.The behavior of viscoelastic fluids is quite different from the Newtonian fluid, due to the effects of fluid elasticity. Only one flow pattern appears when the Newtonian fluid past the cavity. However, three kinds of flow patterns appear while the viscoelastic fluids past the cavity by increasing Reynolds number from 20 to 300. The flow field is affected by the fluid elasticity as well as the aspect ratio of the cavity. The transitional flow pattern appears at lower Reynolds number as the higher elasticity fluid past the cavity with larger aspect ratio.

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Ganji, Davood D., Mofid Gorji-Bandpy, and Mehdi Mostofi. "Study of Electroosmotic Flow in a Nanotube with Power Law Fluid." Applied Mechanics and Materials 110-116 (October 2011): 3633–38. http://dx.doi.org/10.4028/www.scientific.net/amm.110-116.3633.

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In this paper, electroosmotic phenomena in power law fluids are investigated. This assumption is applicable in many cases such as blood. Flow channels assumed to be in nanoscale. Navier-Stokes, Poisson-Boltzmann and electrochemical equilibrium equations govern these phenomena. It is notable that, these governing equations should be modified according to fluid complexity. Electroosmotic phenomena occur in the presence of electric double layer (EDL). Potential in the edge of the inner layer (stern layer) is called zeta potential. In this paper, according to follow the applicability of the subject, zeta potential is assumed to be so small, that makes the Poisson-Boltzmann equation linear and be able to solve analytically. Method employed for analytical solution is based on developed Bessel differential equation. This paper aims to investigate the fluid properties, zeta potential and Debye-Huckel parameter effect on the viscosity, electroosmotic mobility and velocity field in the nanotube. These expected achievements help us to study the properties of blood and some other non-Newtonian fluids more precisely.

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Adluri, Indrasena. "Hodographic study of plane micropolar fluid flows." International Journal of Mathematics and Mathematical Sciences 18, no. 2 (1995): 357–64. http://dx.doi.org/10.1155/s0161171295000445.

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Equations of steady flow of a plane micropolar fluid are transformed to the hodograph plane by means of the Legendre transform function of the streamfunction. Results are summarized in the form of a theorem, some flow problems are investigated as applications of this theorem and exact solutions and geometry of the flow are obtained in each case.

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Khan, Masood, and Azeem Shahzad. "Falkner–Skan Boundary Layer Flow of a Sisko Fluid." Zeitschrift für Naturforschung A 67, no. 8-9 (September 1, 2012): 469–78. http://dx.doi.org/10.5560/zna.2012-0049.

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In this paper, we investigate the steady boundary layer flow of a non-Newtonian fluid, represented by a Sisko fluid, over a wedge in a moving fluid. The equations of motion are derived for boundary layer flow of an incompressible Sisko fluid using appropriate similarity variables. The governing equations are reduced to a single third-order highly nonlinear ordinary differential equation in the dimensionless stream function, which is then solved analytically using the homotopy analysis method. Some important parameters have been discussed by this study, which include the power law index n, the material parameter A, the wedge shape factor b, and the skin friction coefficient Cf. A comprehensive study is made between the results of the Sisko and the power-law fluids.

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Jayalakshmamma, D. V., P. A. Dinesh, and D. V. Chandrashekhar. "Numerical Study of Micropolar Fluid Flow Past an Impervious Sphere." Defect and Diffusion Forum 388 (October 2018): 344–49. http://dx.doi.org/10.4028/www.scientific.net/ddf.388.344.

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The numerical study of axi-symmetric, steady flow of an incompressible micropolar fluid past an impervious sphere is presented by assuming uniform flow far away from the sphere. The continuity, linear and angular momentum equations are considered for incompressible micropolar fluid in accordance with Eringen. The governing equations of the physical problem are transformed to ordinary differential equation with variable co-efficient by using similarity transformation method. The obtained differential equation is then solved numerically by assuming the shooting technique. The effect of coupling and coupling stress parameter on the properties of the fluid flow is studied and demonstrated by graphs.

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hamid, Aamir, Abdul Hafeez, and Masood Khan. "Characteristics of combined heat and mass transfer on mixed convection flow of Sisko fluid model: A numerical study." Modern Physics Letters B 34, no. 24 (June 6, 2020): 2050255. http://dx.doi.org/10.1142/s0217984920502553.

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In this paper, the combined heat and mass transfer of mixed convection, non-similar Sisko fluid flow in the presence of a magnetic field is studied. The combined effects of thermal radiation and heat generation/absorption are examined for Sisko fluid flow via local non-similar method. For the radiative heat transfer, Rosseland approximation model is used. The governing partial differential equations of the present problem are transformed into a system of nonlinear ordinary differential equations by employing the Sparrow–Quack–Boerner local non-similarity method (LNM). The obtained equations are then numerically investigated by utilizing the bvp4c function in MATLAB. The impact of different supervising parameters on the velocity, temperature, skin friction and rate of heat transfer is performed graphically. It is observed that the velocity is more for a higher rate of the buoyancy force parameter while it is less for opposing buoyancy fluid. The thermal boundary layer thickness for the shear thickening fluids is smaller than the shear thinning fluids.

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Akhter, Shaheen, and Muhammad Ashraf. "Numerical study of flow and heat transfer in a porous medium between two stretchable disks using quasi-linearization method." Thermal Science, no. 00 (2019): 163. http://dx.doi.org/10.2298/tsci180801163a.

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In this study, the flow as well as heat transfer of a classical Newtonian fluid of constant density and viscosity in a porous medium between two radially stretching disks is explored. The role of the porosity of the medium, the stretching of the disks, the viscous dissipation and radiation on the flow and temperature fields is taken into account. The flow and heat equations are transformed into nonlinear ordinary differential equations by invoking the classical similarity transformations. These nonlinear differential equations were linearized using Quasi linearization method. Further the linearized equations were discretized by employing the finite differences which were then solved numerically using the successive over relaxation parameter method. Some features of the flow and temperature are discussed in detail in the form of tables and graphs. The present study may be beneficial in lubricants and computational storage devices as well as fluid flows and heat transmission in rotor-stator systems.

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Dissertations / Theses on the topic "Equations in fluid flow study"

1

Priestley, A. "Lagrange and characteristic Galerkin methods for evolutionary problems." Thesis, University of Oxford, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.376942.

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Gilham, S. "Theoretical study of self-induced flow in a rotating tube." Thesis, University of Sussex, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.308065.

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Zhang, Feng. "Eulerian Numerical Study of the Sedimentation of Fibre Suspensions." Licentiate thesis, KTH, Mekanik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-96767.

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Sedimenting suspensions exist in a varity of natural phenomena and industrial applications. It is already observed in experiments that the dilute fibre suspensions experience a hydrodynamics instability under gravity at low Reynolds numbers. Initially well-mixed suspensions become inhomogeneous and anisotropic due to this instability.The main goal of this work is to understand the instability in a dilute fibre suspension by means of an Eulerian approach which is based on the Navier-Stokes equations coupled to Fokker-Planck equation for the PDF of fibres.Using a linear stability analysis, we show that inertia and hydrodynamic translational diffusion damp perturbations at long wavelengths and short wavelengths, respectively, leading to a wavenumber selection. For small, but finite Reynolds number of the fluid bulk motion, the most unstable wavenumber is a finite value which increases with Reynolds number, and where the diffusion narrows the range of unstable wavenumbers. With periodic boundary conditions, numerical simulations of the full non-linear evolution in time of a normal mode perturbation show that the induced flow may either die or saturate on a finite amplitude. The character of this long time behaviour is dictated by the wavenumber and the presence or absence of the translational and rotational diffusivities.In a simulation domain confined by vertical walls, a series of alternating structures of risers and streamers emerge continuously from the walls until they meet in the middle of the domain. For moderate times, this agrees qualitatively with experimental and theoretical results. Moreover, our simulation in a vessel of infinite height obtained an increasing wavelength evolution due to the congregation of the streamers or risers. In the end, there is constantly only one streamer left, and it drifts randomly to one side of the container until the evolution reaches a steady state. It is also found that the perturbations added to the initial conditions can induce more high density regions whose sizes and velocities are strongly linked to the initial perturbations of the number density or the flow field. In addition, the maximum number of streamers increases with Reynolds number, volume fraction and channel width.
QC 20120625

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Nichols, Dudley Stephen. "Development of a free surface method utilizing an incompressible multi-phase algorithm to study the flow about surface ships and underwater vehicles." Diss., Mississippi State : Mississippi State University, 2002. http://library.msstate.edu/etd/show.asp?etd=etd-07112002-163134.

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5

Sopko, James J. "Modeling fluid flow by exploring different flow geometries and effect of weak compressibility." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 2006. http://library.nps.navy.mil/uhtbin/hyperion/06Jun%5FSopko.pdf.

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6

Haddon, E. W. "Numerical studies of the Navier-Stokes equations." Thesis, University of East Anglia, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.377745.

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Asadulla, M. "Viscous flow near a stationary contact line." Thesis, University of Essex, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.371892.

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Singler, John. "Sensitivity Analysis of Partial Differential Equations With Applications to Fluid Flow." Diss., Virginia Tech, 2005. http://hdl.handle.net/10919/28051.

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For over 100 years, researchers have attempted to predict transition to turbulence in fluid flows by analyzing the spectrum of the linearized Navier-Stokes equations. However, for many simple flows, this approach has failed to match experimental results. Recently, new scenarios for transition have been proposed that are based on the non-normality of the linearized operator. These new â mostly linearâ theories have increased our understanding of the transition process, but the role of nonlinearity has not been explored. The main goal of this work is to begin to study the role of nonlinearity in transition. We use model problems to illustrate that small unmodeled disturbances can cause transition through movement or bifurcation of equilibria. We also demonstrate that small wall roughness can lead to transition by causing the linearized system to become unstable. Sensitivity methods are used to obtain important information about the disturbed problem and to illustrate that it is possible to have a precursor to predict transition. Finally, we apply linear feedback control to the model problems to illustrate the power of feedback to delay transition and even relaminarize fully developed chaotic flows.
Ph. D.

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Parameswaran, S. "Finite volume equations for fluid flow based on non-orthogonal velocity projection." Thesis, Imperial College London, 1986. http://hdl.handle.net/10044/1/38133.

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Cox, Stephen Michael. "A similarity solution of the Navier-Stokes equations for two-dimensional flow in a porous-walled channel." Thesis, University of Bristol, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.330061.

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Books on the topic "Equations in fluid flow study"

1

Tew, Roy C. Study of two-dimensional compressible non-acoustic modeling of stirling machine type components. Cleveland, Ohio: National Aeronautics and Space Administration, Glenn Research Center, 2001.

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Tew, Roy C. Study of two-dimensional compressible non-acoustic modeling of stirling machine type components. Cleveland, Ohio: National Aeronautics and Space Administration, Glenn Research Center, 2001.

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Tew, Roy C. Study of two-dimensional compressible non-acoustic modeling of stirling machine type components. Cleveland, Ohio: National Aeronautics and Space Administration, Glenn Research Center, 2001.

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Bergeron, Maurice Denis. A study of the fortified Navier-Stokes approach for viscous airfoil computations. [Toronto, Ont.]: Graduate Department of Aerospace Science and Engineering, University of Toronto, 1994.

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5

Yudaev, Vasiliy. Hydraulics. ru: INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/996354.

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The textbook corresponds to the general education programs of the general courses "Hydraulics" and "Fluid Mechanics". The basic physical properties of liquids, gases, and their mixtures, including the quantum nature of viscosity in a liquid, are described; the laws of hydrostatics, their observation in natural phenomena, and their application in engineering are described. The fundamentals of the kinematics and dynamics of an incompressible fluid are given; original examples of the application of the Bernoulli equation are given. The modes of fluid motion are supplemented by the features of the transient flow mode at high local resistances. The basics of flow similarity are shown. Laminar and turbulent modes of motion in pipes are described, and the classification of flows from a creeping current to four types of hypersonic flow around the body is given. The coefficients of nonuniformity of momentum and kinetic energy for several flows of Newtonian and non-Newtonian fluids are calculated. Examples of solving problems of transient flows by hydraulic methods are given. Local hydraulic resistances, their use in measuring equipment and industry, hydraulic shock, polytropic flow of gas in the pipe and its outflow from the tank are considered. The characteristics of different types of pumps, their advantages and disadvantages, and ways of adjustment are described. A brief biography of the scientists mentioned in the textbook is given, and their contribution to the development of the theory of hydroaeromechanics is shown. The four appendices can be used as a reference to the main text, as well as a subject index. Meets the requirements of the federal state educational standards of higher education of the latest generation. For students of higher educational institutions who study full-time, part-time, evening, distance learning forms of technological and mechanical specialties belonging to the group "Food Technology".

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6

McArdle, Jack G. Experimental and analytical study of close-coupled ventral nozzles for ASTOVL aircraft. [Washington, D.C.]: National Aeronautics and Space Administration, 1990.

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McArdle, Jack G. Experimental and analytical study of close-coupled ventral nozzles for ASTOVL aircraft. [Washington, D.C.]: National Aeronautics and Space Administration, 1990.

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8

ISA--The Instrumentation, Systems, and Automation Society., ed. Flow of industrial fluids: Theory and equations. Boca Raton, Fla: CRC Press, 2004.

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9

Sidilkover, D. Factorizable schemes for the equations of fluid flow. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1999.

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Joseph, Daniel D. Fluid dynamics of viscoelastic liquids. New York: Springer-Verlag, 1990.

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Book chapters on the topic "Equations in fluid flow study"

1

Sharath Kumar Reddy, J., and D. Bhargavi. "Analytical Study of Fluid Flow in a Channel Partially Filled with Porous Medium with Darcy–Brinkman Equation." In Numerical Heat Transfer and Fluid Flow, 489–96. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-1903-7_56.

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Trontin, P., J. L. Estivalezes, S. Vincent, and J. P. Caltagirone. "A Phase-Conditioned Filtering of Incompressible Interfacial Multiphase Flow Equations: A Priori Study for the Modeling of LES Subgrid Scale Terms." In Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 165–72. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-662-43489-5_20.

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3

Berg, J. I., H. W. M. Hoeijmakers, and H. A. Sytsma. "Study into the Limits of an Euler Equation Method Applied to Leading-Edge Vortex Flow." In Proceedings of the Ninth GAMM-Conference on Numerical Methods in Fluid Mechanics, 55–65. Wiesbaden: Vieweg+Teubner Verlag, 1992. http://dx.doi.org/10.1007/978-3-663-13974-4_6.

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Zamir, M. "Equations of Fluid Flow." In The Physics of Pulsatile Flow, 23–37. New York, NY: Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1282-9_2.

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Shalaby, Ahlam I. "Flow Resistance Equations." In Fluid Mechanics for Civil and Environmental Engineers, 643–748. Boca Raton : Taylor & Francis a CRC title, part of the Taylor & Francis imprint, a member of the Taylor & Francis Group, the academic division of T&F Informa, plc, [2018]: CRC Press, 2018. http://dx.doi.org/10.1201/9781315156637-6.

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Barletta, Antonio. "The Equations of Fluid Flow." In Routes to Absolute Instability in Porous Media, 93–119. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-06194-4_5.

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Shang, De-Yi, and Liang-Cai Zhong. "Conservation Equations of Fluid Flow." In Heat and Mass Transfer, 19–31. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-94403-6_2.

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Støle-Hentschel, Susanne, Svein Linge, Alf Emil Løvgren, and Kent-Andre Mardal. "Cerebrospinal fluid flow." In Automated Solution of Differential Equations by the Finite Element Method, 455–70. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-23099-8_24.

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Babu, V. "The Incompressible Navier–Stokes Equations." In Fundamentals of Incompressible Fluid Flow, 25–45. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-74656-8_3.

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Corsini, Alessandro, Franco Rispoli, and Andrea Santoriello. "A new stabilized finite element method for advection-diffusion-reaction equations using quadratic elements." In Modelling Fluid Flow, 247–66. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-08797-8_17.

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Conference papers on the topic "Equations in fluid flow study"

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Khan, Waqar A., Richard J. Culham, and Milan M. Yovanovich. "Fluid Flow and Heat Transfer in Power-Law Fluids Across Circular Cylinders: Analytical Study." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-79941.

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An integral approach of the boundary layer analysis is employed for the modeling of fluid flow around and heat transfer from infinite circular cylinders in power-law fluids. The Von Karman-Pohlhausenmethod is used to solve the momentum integral equation whereas the energy integral equation is solved for both isothermal and isoflux boundary conditions. A fourth-order velocity profile in the hydrodynamic boundary layer and a third-order temperature profile in the thermal boundary layer are used to solve both integral equations. Closed form expressions are obtained for the drag and heat transfer coefficients that can be used for a wide range of the power-law index, and generalized Reynolds and Prandtl numbers. It is found that pseudoplastic fluids offer less skin friction and higher heat transfer coefficients than dilatant fluids. As a result, the drag coefficients decrease and the heat transfer increases with the decrease in power-law index. Comparison of the analytical models with available experimental/numerical data proves the applicability of the integral approach for power-law fluids.

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2

Chen, H. Y., L. W. Teufel, and R. L. Lee. "Coupled Fluid Flow and Geomechanics in Reservoir Study - I. Theory and Governing Equations." In SPE Annual Technical Conference and Exhibition. Society of Petroleum Engineers, 1995. http://dx.doi.org/10.2118/30752-ms.

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Watanabe, Masahiro, Nagara Wakita, and Takumi Takahashi. "Flow-Induced Vibration of Flexible Disk Subjected to Swirling Fluid Flow." In ASME 2003 Pressure Vessels and Piping Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/pvp2003-2093.

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This paper deals with theoretical stability analysis and experimental study of flow-induced vibration of a flexible disk subjected to swirling fluid flow in a confined fluid. The flexible disk subjected to swirling fluid flow undergoes flow-induced vibration when the swirling fluid speed becomes high. The flow-induced vibration occurs due to the interaction between the out-of-plane motion of the flexible disk and swirling fluid flow generated around the disk. In this system, the swirling fluid flow is generated by a rigid disk rotating near the flexible disk. In the theoretical stability analysis, the basic equations of the swirling fluid flow around the flexible disk are based on the Navier-Stokes equations integrated over the gap width between the flexible disk and the rotating rigid disk. The structural equation of the flexible disk is based on the Kirchhoff-Love’s plate model. The equations of the fluid-structure coupling system are derived taking account of the moving boundary conditions of the flexible disk. The equations of the fluid-structure coupling motion are linearized for small out-of-plane motion of the flexible disk near the equilibrium state, and the solutions of the equations are obtained using the multi-modal expansion approximation and the Galerkin’s method. Modal frequencies and modal damping ratios of the system are obtained as a function of the rotational speed of the rotating rigid disk. As a result, it is clarified that unstable vibration occurs in the flexible disk due to the swirling fluid flow. And the critical rotational speed at which the unstable vibration occurs and vibration modes are clarified theoretically and experimentally.

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4

Niessner, Jennifer, S. Majid Hassanizadeh, and Dustin Crandall. "Modeling Two-Phase Flow in Porous Media Including Fluid-Fluid Interfacial Area." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-66098.

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We present a new numerical model for macro-scale two-phase flow in porous media which is based on a physically consistent theory of multi-phase flow. The standard approach for modeling the flow of two fluid phases in a porous medium consists of a continuity equation for each phase, an extended form of Darcy’s law as well as constitutive relationships for relative permeability and capillary pressure. This approach is known to have a number of important shortcomings and, in particular, it does not account for the presence and role of fluid–fluid interfaces. An alternative is to use an extended model which is founded on thermodynamic principles and is physically consistent. In addition to the standard equations, the model uses a balance equation for specific interfacial area. The constitutive relationship for capillary pressure involves not only saturation, but also specific interfacial area. We show how parameters can be obtained for the alternative model using experimental data from a new kind of flow cell and present results of a numerical modeling study.

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Shintani, Atsuhiko, Hirokazu Isono, Tomohiro Ito, and Chihiro Nakagawa. "Basic Study on Mitigation of Annular-Flow-Induced Vibration by Considering Variability in Parameters of Structure and Fluid." In ASME 2013 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/pvp2013-97845.

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In this study, the stability of a structure and mitigation of the vibration of a structure subjected to annular flow are investigated when the parameters of the structure and fluid have variability or uncertainty. The equations of motion of the structure and fluid are given by the Euler-Bernoulli-type partial differential equation and the Navier–Stokes equation, respectively. Hence, the fluid–structure coupled system has variability. The fluid–structure coupled equation considering variability is derived from the above-mentioned equations. By drawing the root locus of the coupled equation, the stability of the coupled system with variability is investigated. Because the parameters of structure and fluid have variability, the critical flow velocity also varies. The effect of parameter variability on the critical flow velocity variability is investigated. Furthermore, to reduce the coupled vibration of the system with variability, a control input is used. Through adequate control, the coupled system with variability is stabilized.

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Liu, Ningli, Rene Chevray, Gerald A. Domoto, and Elias Panides. "Numerical Computation of Fluid Flow and Heat Transfer in Microchannels." In ASME 2005 Summer Heat Transfer Conference collocated with the ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems. ASMEDC, 2005. http://dx.doi.org/10.1115/ht2005-72722.

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A finite difference numerical approach for solving slightly compressible, time-dependent, viscous laminar flow is presented in this study. Simplified system of Navier-Stokes equations and energy equation are employed in the study in order to perform more efficient numerical calculations. Fluid flow and heat transfer phenomena in two dimensional microchannels are illustrated numerically in this paper. This numerical approach provides a complete numerical simulation of the development of the fluid flow and the temperature profiles through multi-dimensional microchannels.

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Feng, Zhipeng, Qian Huang, Shuai Liu, Fengchun Cai, Xi Lv, and Xiaozhou Jiang. "Study on Dynamic Characteristics and Flow Induced Vibration of Tube Bundles Based on the Fluid Structure Coupling Method." In 2018 26th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/icone26-81342.

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In order to study the dynamic characteristics and fluid structure interactions of tubular structures under the action of fluid in reactor, such as fuel rod bundles and heat transfer tube bundle of steam generator, the dynamic equations and the acoustic wave equations of structures are discretized by finite element method. The acoustic wave equations are simplified from continuity equation and momentum equation of fluid field. Based on the fluid structure coupling method, the dynamic characteristics of the tube under the internal flow, external flow and combined action of internal and external flow are calculated respectively. The influence of flow field domain, element type and grid number on the dynamic characteristics of the tube is also analyzed. Secondly, based on the computational fluid dynamics and computational structural dynamics, the interaction between the two physical fields of fluid and structure is considered simultaneously. The finite volume method is used to discretize the fluid control equations and the turbulent flow is investigated using the large eddy simulation method (LES). The Newmark algorithm is used to solve the structural dynamic equations. Combined with the dynamic mesh control technique, a numerical model for flow induced vibration of three-dimensional flexible tube is established. Finally, the flow induced vibration of a three dimensional flexible single tube and a square arrangement tube bundle is calculated using the numerical model. By comparing with the existing research results, it is found that the numerical simulation results are in good agreement with the experimental results. Thus, the correctness of the model is verified. It is also shown that the numerical model established in this paper can be used to simulate the dynamic characteristics and flow induced vibration of tubular structures.

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Nouri-Borujerdi, A., and M. Nazari. "Heat Transfer and Fluid Flow in Porous Media With Two Equations Non-Darcian Model." In ASME 2005 Fluids Engineering Division Summer Meeting. ASMEDC, 2005. http://dx.doi.org/10.1115/fedsm2005-77145.

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In the present study criterion for local thermal equilibrium assumption is studied. It concerns with the fluid flow and heat transfer between two parallel plates filled with a saturated porous medium under non-equilibrium condition. A two-equation model is utilized to represent the fluid and solid energy transport. Numerical Finite Volume Method has been developed for solving coupled energy equations and the Non-Darcian effects are considered for description of momentum equation. The effects of suitable non dimensional parameters as Peclet number and conductivity ratio has been studied thoroughly. A suitable non dimensional equation proposed in wide range of Peclet number and conductivity ratio. This equation shows the temperature difference between solid and fluid phases.

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9

de Freitas, Raphael V. N., Carina N. Sondermann, Rodrigo A. C. Patricio, Aline B. Figueiredo, Gustavo C. R. Bodstein, Felipe B. F. Rachid, and Renan M. Baptista. "Numerical Study of Two-Phase Flow in a Horizontal Pipeline Using an Unconditionally Hyperbolic Two-Fluid Model." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-87571.

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Numerical simulation is a very useful tool for the prediction of physical quantities in two-phase flows. One important application is the study of oil-gas flows in pipelines, which is necessary for the proper selection of the equipment connected to the line during the pipeline design stage and also during the pipeline operation stage. The understanding of the phenomena present in this type of flow is more crucial under the occurrence of undesired effects in the duct, such as hydrate formation, fluid leakage, PIG passage, and valve shutdown. An efficient manner to model two-phase flows in long pipelines regarding a compromise between numerical accuracy and cost is the use of a one-dimensional two-fluid model, discretized with an appropriate numerical method. A two-fluid model consists of a system of non-linear partial differential equations that represent the mass, momentum and energy conservation principles, written for each phase. Depending on the two-fluid model employed, the system of equations may lose hyperbolicity and render the initial-boundary-value problem illposed. This paper uses an unconditionally hyperbolic two-fluid model for solving two-phase flows in pipelines in order to guarantee that the solution presents physical consistency. The mathematical model here referred to as the 5E2P (five equations and two pressures) comprises two equations of continuity and two momentum conservation equations, one for each phase, and one equation for the transport of the volume fraction. A priori this model considers two distinct pressures, one for each phase, and correlates them through a pressure relaxation procedure. This paper presents simulation cases for stratified two-phase flows in horizontal pipelines solved with the 5E2P coupled with the flux corrected transport method. The objective is to evaluate the numerical model capacity to adequately describe the velocities, pressures and volume fraction distributions along the duct.

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Vaziei, Parisa, and Omid Abouali. "Numerical Study of Fluid Flow and Heat Transfer for Al2O3-Water Nanofluid Impinging Jet." In ASME 2009 7th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2009. http://dx.doi.org/10.1115/icnmm2009-82250.

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In this study a circular confined and submerged jet impinging on a horizontal hot plate is numerically simulated. Water and 36nm Al2O3-water nanofluid with various particle volume fractions are used as a working fluid for cooling the hot plate. Both laminar and turbulent impinging jets in various nozzle to plate distances and Reynolds numbers are considered. For laminar cases Navier-Stokes and energy equations and for turbulent cases RANS and time averaged energy equations were solved numerically to obtain the flowfield and temperature distribution. The turbulence effect was considered with a two equations model. The properties of nanofluid such as thermal conductivity, viscosity and density are modified using the appropriate models. The present study reports the Nusselt number on the hot plate for investigated cases. Temperature difference between the inlet fluid and the hot plate are obtained for different mass flow rates and particle volume fractions and are compared with experimental data for turbulent jets. The results show that using Al2O3 nano-particles in laminar jets enhances the heat transfer but for the turbulent jets Al2O3-water nanofluid has a lower performance for heat removal compared with clear fluid.

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Reports on the topic "Equations in fluid flow study"

1

Holmes, Mark Alan. Stability of finite difference approximations of two fluid, two phase flow equations. Office of Scientific and Technical Information (OSTI), January 1995. http://dx.doi.org/10.2172/505672.

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Rajagopal, K. R., G. Johnson, and M. Massoudi. Averaged equations for an isothermal, developing flow of a fluid- solid mixture. Office of Scientific and Technical Information (OSTI), March 1996. http://dx.doi.org/10.2172/215832.

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Im, Hee Jin, and Seok Gil Hong. A Study of Effects of Fuel Fluid Flow in Fuel Tank on Frontal Crashworthiness. Warrendale, PA: SAE International, May 2005. http://dx.doi.org/10.4271/2005-08-0321.

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Knightly, George H. An Analytical Study of Some Problems in Partial Differential Equations With Applications to Fluid Dynamics and Wave Propagation. Fort Belvoir, VA: Defense Technical Information Center, October 1992. http://dx.doi.org/10.21236/ada260351.

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Harmut Spetzler. Seismic Absorption and Modulus Measurements in Porous Rocks Under Fluid and Gas Flow-Physical and Chemical Effects: a Laboratory Study. Office of Scientific and Technical Information (OSTI), November 2005. http://dx.doi.org/10.2172/860985.

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Yildiz, B., J. Smith, and T. Sofu. Thermal-fluid and electrochemical modeling and performance study of a planar solid oxide electrolysis cell : analysis on SOEC resistances, size, and inlet flow conditions. Office of Scientific and Technical Information (OSTI), June 2008. http://dx.doi.org/10.2172/934425.

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Ayoul-Guilmard, Q., S. Ganesh, M. Nuñez, R. Tosi, F. Nobile, R. Rossi, and C. Soriano. D5.4 Report on MLMC for time dependent problems. Scipedia, 2021. http://dx.doi.org/10.23967/exaqute.2021.2.005.

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In this report, we study the use of Multi-Level Monte Carlo (MLMC) methods for time dependent problems. It was found that the usability of MLMC methods depends strongly on whether or not the underlying time dependent problem is chaotic in nature. Numerical experiments are conducted on both simple problems, as well as fluid flow problems of practical interest to the ExaQUte project, to demonstrate this. For the non-chaotic cases, the hypotheses that enable the use of MLMC methods were found to be satisfied. For the chaotic cases, especially the case of high Reynolds’ number fluid flow, the hypotheses were not satisfied. However, it was found that correlations between the different levels were high enough to merit the use of multi-fidelity or control-variate approaches. It was also noted that MLMC methods could work for chaotic problems if the time window of analysis were chosen to be small enough. Future studies are proposed to examine this possibility.

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8

Documentation of computer program VS2D to solve the equations of fluid flow in variably saturated porous media. US Geological Survey, 1987. http://dx.doi.org/10.3133/wri834099.

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