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1

Wolczynski, Slawomir, and Barbara Bilinska. "Serge Carreau (1947–2013)." Reproductive Biology 14, no. 1 (March 2014): 1. http://dx.doi.org/10.1016/j.repbio.2014.01.001.

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2

Molinier, Pascale, and Maria Fernanda Cepeda. "« Comme un chien à carreau »." Travailler 28, no. 2 (2012): 33. http://dx.doi.org/10.3917/trav.028.0033.

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3

Ahmed, Tamara Sh. "Effect of Inclined Magnetic Field on Peristaltic Flow of Carreau Fluid through Porous Medium in an Inclined Tapered Asymmetric Channel." Al-Mustansiriyah Journal of Science 29, no. 3 (March 10, 2019): 94. http://dx.doi.org/10.23851/mjs.v29i3.641.

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During this article, we have a tendency to show the peristaltic activity of magnetohydrodynamics flow of carreau fluid with heat transfer influence in an inclined tapered asymmetric channel through porous medium by exploitation the influence of non-slip boundary conditions. The tapered asymmetric channel is often created because of the intrauterine fluid flow induced by myometrial contraction and it had been simulated by asymmetric peristaltic fluid flow in an exceedingly two dimensional infinite non uniform channel, this fluid is known as hereby carreau fluid, conjointly we are able to say that one amongst carreau's applications is that the blood flow within the body of human. Industrial field, silicon oil is an example of carreau fluid. By exploitation, the perturbation technique for little values of weissenberg number, the nonlinear governing equations in the two-dimensional Cartesian coordinate system is resolved under the assumptions of long wavelength and low Reynolds number. The expressions of stream function, temperature distribution, the coefficient of heat transfer, frictional forces at the walls of the channel, pressure gradient are calculated. The effectiveness of interesting parameters on the inflow has been colluded and studied.
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4

Tabakova, S., N. Kutev, and St Radev. "Oscillatory Carreau flows in straight channels." Royal Society Open Science 7, no. 5 (May 2020): 191305. http://dx.doi.org/10.1098/rsos.191305.

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The present paper studies the oscillatory flow of Carreau fluid in a channel at different Womersley and Carreau numbers. At high and low Womersley numbers, asymptotic expansions in small parameters, connected with the Womersley number, are developed. For the intermediate Womersley numbers, theoretical bounds for the velocity solution and its gradient, depending on the problem parameters, are proven and explicitly given. It is shown that the Carreau number changes the type of the flow velocity to be closer to the Newtonian velocity corresponding to low or high shear or to have a transitional character between both Newtonian velocities. Some numerical examples for the velocity at different Carreau and Womersley numbers are presented for illustration with respect to the similar Newtonian flow velocity.
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5

Hayat, Tasawar, Fahad M. Abbasi, Ahmed Alsaedi, and Fuad Alsaadi. "Hall and Ohmic Heating Effects on the Peristaltic Transport of a Carreau–Yasuda Fluid in an Asymmetric Channel." Zeitschrift für Naturforschung A 69, no. 1-2 (February 1, 2014): 43–51. http://dx.doi.org/10.5560/zna.2013-0074.

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The effects of Hall current and Ohmic heating are analyzed for the peristaltic flow of a Carreau- Yasuda fluid in an asymmetric channel. The mathematical model for peristalsis of the Carreau- Yasuda fluid is provided for the first time in the literature. The problem is developed in the presence of viscous dissipation. Solutions for pressure gradient, stream function, axial velocity, and temperature are established and discussed. The heat transfer rate at the wall is first computed numerically and then examined. A comparative study for viscous, Carreau, and Carreau-Yasuda fluids is also made.
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6

Garnier, Lionel, Sebti Foufou, and Marc Neveu. "Conversion d'un carreau de Bézier rationnel biquadratique en un carreau de cyclide de Dupin quartique." Techniques et sciences informatiques 25, no. 6 (July 1, 2006): 709–34. http://dx.doi.org/10.3166/tsi.25.709-734.

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7

Caillot, Isabelle. "Paris 3e (Paris). Carreau du Temple." Archéologie médiévale, no. 42 (December 1, 2012): 249–51. http://dx.doi.org/10.4000/archeomed.10987.

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8

Coclite, Alessandro, Giuseppe Coclite, and Domenico De Tommasi. "Capsules Rheology in Carreau–Yasuda Fluids." Nanomaterials 10, no. 11 (November 3, 2020): 2190. http://dx.doi.org/10.3390/nano10112190.

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In this paper, a Multi Relaxation Time Lattice Boltzmann scheme is used to describe the evolution of a non-Newtonian fluid. Such method is coupled with an Immersed-Boundary technique for the transport of arbitrarily shaped objects navigating the flow. The no-slip boundary conditions on immersed bodies are imposed through a convenient forcing term accounting for the hydrodynamic force generated by the presence of immersed geometries added to momentum equation. Moreover, such forcing term accounts also for the force induced by the shear-dependent viscosity model characterizing the non-Newtonian behavior of the considered fluid. Firstly, the present model is validated against well-known benchmarks, namely the parabolic velocity profile obtained for the flow within two infinite laminae for five values of the viscosity model exponent, n = 0.25, 0.50, 0.75, 1.0, and 1.5. Then, the flow within a squared lid-driven cavity for Re = 1000 and 5000 (being Re the Reynolds number) is computed as a function of n for a shear-thinning (n < 1) fluid. Indeed, the local decrements in the viscosity field achieved in high-shear zones implies the increment in the local Reynolds number, thus moving the position of near-walls minima towards lateral walls. Moreover, the revolution under shear of neutrally buoyant plain elliptical capsules with different Aspect Ratio (AR = 2 and 3) is analyzed for shear-thinning (n < 1), Newtonian (n = 1), and shear-thickening (n > 1) surrounding fluids. Interestingly, the power law by Huang et al. describing the revolution period of such capsules as a function of the Reynolds number and the existence of a critical value, Rec, after which the tumbling is inhibited in confirmed also for non-Newtonian fluids. Analogously, the equilibrium lateral position yeq of such neutrally buoyant capsules when transported in a plane-Couette flow is studied detailing the variation of yeq as a function of the Reynolds number as well as of the exponent n.
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9

Agassant, Jean-François. "Special issue for Pierre J. Carreau." International Polymer Processing 35, no. 5 (November 1, 2020): 414. http://dx.doi.org/10.1515/ipp-2020-350502.

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10

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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11

Noreen, Saima, Sadia Waheed, Abid Hussanan, and Dianchen Lu. "Analytical Solution for Heat Transfer in Electroosmotic Flow of a Carreau Fluid in a Wavy Microchannel." Applied Sciences 9, no. 20 (October 16, 2019): 4359. http://dx.doi.org/10.3390/app9204359.

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This article explores the heat and transport characteristics of electroosmotic flow augmented with peristaltic transport of incompressible Carreau fluid in a wavy microchannel. In order to determine the energy distribution, viscous dissipation is reckoned. Debye Hückel linearization and long wavelength assumptions are adopted. Resulting non-linear problem is analytically solved to examine the distribution and variation in velocity, temperature and volumetric flow rate within the Carreau fluid flow pattern through perturbation technique. This model is also suitable for a wide range of biological microfluidic applications and variation in velocity, temperature and volumetric flow rate within the Carreau fluid flow pattern.
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12

Mo, Qi Mian, Shi Xun Zhang, Teng Fei Chen, and Wei Cao. "Fit and Evaluate the Viscous Models Used for ABS." Key Engineering Materials 905 (January 4, 2022): 231–37. http://dx.doi.org/10.4028/www.scientific.net/kem.905.231.

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Viscous models such as Bird-Carreau, Cross, modified Cross, Carreau-Yasuda and Power are often used in commercial software. In order to get the most suitable model, a series of rheological tests were carried out in this study, and a model fitting method based on least square approach was proposed. Combined with the WLF equation related to temperature, these five viscous models were fitted by the fitting method proposed in this paper. The calculated results of the fitted models are compared with the experimental data. The results show that, of the investigated five models, the Carreau-Yasuda and Cross type models can better describe the rheological characteristics of ABS, the Bird-Carreau model is the second, and the Power model is the poorest one. The fitted models are in good agreement with that by Polymat. Some models such as Cross and Power models fitted by the proposed method are even better than that by Polymat.
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13

Ijaz Khan, M., Amit Kumar, T. Hayat, M. Waqas, and Ramayan Singh. "Entropy generation in flow of Carreau nanofluid." Journal of Molecular Liquids 278 (March 2019): 677–87. http://dx.doi.org/10.1016/j.molliq.2018.12.109.

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14

Rodrigue, Denis, Marie-Claude Heuzey, Charles Dubois, and Daniel De Kee. "Prof. Pierre J. Carreau 65th Birthday Symposium." Applied Rheology 15, no. 1 (February 1, 2005): 48. http://dx.doi.org/10.1515/arh-2005-0024.

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15

Khoshrouye Ghiasi, Emran, and Reza Saleh. "Thermophysical Investigation of Unsteady Casson–Carreau Fluid." INAE Letters 4, no. 4 (December 2019): 227–39. http://dx.doi.org/10.1007/s41403-019-00082-w.

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16

STELLER, RYSZARD. "Novel models of viscous liquids based on Carreau equation." Polimery 58, no. 11/12 (November 2013): 913–19. http://dx.doi.org/10.14314/polimery.2013.913.

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17

Shaw, S., A. Patra, A. Misra, M. K. Nayak, and Ali J. Chamkha. "A Numerical Approach to the Modeling of Thomson and Troian Slip on Nonlinear Radiative Microrotation of Casson Carreau Nanomaterials in Magnetohydrodynamics." Journal of Nanofluids 10, no. 3 (September 1, 2021): 305–15. http://dx.doi.org/10.1166/jon.2021.1790.

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The goal of the current work is to explore the influence of Thompson and Troian slip on the hydromagnetic microrotations of Carreau nanomaterials over a linearly stretched surface subject to NLTR, viscous dissipation, Newtonian heating, homogenous and heterogeneous reactions. Effect of non linear slip (Thompson and Troian slip) on non Newtonian nanofluid (Carreau nanofluid) subject to microrotation is the novelty of the investigation. Shooting technique is the instrumental to get appropriate numerical solution. The significant outcomes of the current study are that Casson parameter and Weissenberg number exhibit opposite results for velocity and heat transfer rate due to flow of micropolar Carreau nanofluid. Further, more and more Thompson and Troian slip yields diminution of flow velocity as well as microrotations. Amplifying Casson parameter intensifies the HTR from the stretched surface.
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18

Buades, Annick. "Le carreau de ciment marocain : motifs et couleurs." Horizons Maghrébins - Le droit à la mémoire 42, no. 1 (2000): 28–33. http://dx.doi.org/10.3406/horma.2000.1858.

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19

Chaffin, S. T., and J. M. Rees. "Carreau fluid in a wall driven corner flow." Journal of Non-Newtonian Fluid Mechanics 253 (March 2018): 16–26. http://dx.doi.org/10.1016/j.jnnfm.2018.01.002.

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20

Khan, Mair, A. M. El Shafey, T. Salahuddin, and Farzana Khan. "Chemically Homann stagnation point flow of Carreau fluid." Physica A: Statistical Mechanics and its Applications 551 (August 2020): 124066. http://dx.doi.org/10.1016/j.physa.2019.124066.

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21

Derezinski, Stephen J. "Dimensionless Slot Flow Using the Carreau Viscosity Model." Journal of Plastic Film & Sheeting 6, no. 4 (October 1990): 276–91. http://dx.doi.org/10.1177/875608799000600404.

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22

Grabski, Jakub Krzysztof, and Jan Adam Kołodziej. "Analysis of Carreau fluid flow between corrugated plates." Computers & Mathematics with Applications 72, no. 6 (September 2016): 1501–14. http://dx.doi.org/10.1016/j.camwa.2016.07.006.

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23

Ali, Usman, Khalil Ur Rehman, M. Y. Malik, and Iffat Zehra. "Thermal aspects of Carreau fluid around a wedge." Case Studies in Thermal Engineering 12 (September 2018): 462–69. http://dx.doi.org/10.1016/j.csite.2018.06.006.

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24

Naganthran, Kohilavani, Roslinda Nazar, Zailan Siri, and Ishak Hashim. "Entropy Analysis and Melting Heat Transfer in the Carreau Thin Hybrid Nanofluid Film Flow." Mathematics 9, no. 23 (November 30, 2021): 3092. http://dx.doi.org/10.3390/math9233092.

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Melting heat transfer has a vital role in forming energy storage devices such as flexible thin film supercapacitors. This idea should be welcomed in the thin film theoretical models to sustain technological advancement, which could later benefit humankind. Hence, the present work endeavors to incorporate the melting heat transfer effect on the Carreau thin hybrid nanofluid film flow over an unsteady accelerating sheet. The mathematical model that obeyed the boundary layer theory has been transformed into a solvable form via an apt similarity transformation. Furthermore, the collocation method, communicated through the MATLAB built-in bvp4c function, solved the model numerically. Non-uniqueness solutions have been identified, and solutions with negative film thickness are unreliable. The melting heat transfer effect lowers the heat transfer rate without affecting the liquid film thickness, while the Carreau hybrid nanofluid contributes more entropy than the Carreau nanofluid in the flow regime.
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25

Anguiano, María, Matthieu Bonnivard, and Francisco J. Suárez-Grau. "Carreau law for non-newtonian fluid flow through a thin porous media." Quarterly Journal of Mechanics and Applied Mathematics 75, no. 1 (February 1, 2022): 1–27. http://dx.doi.org/10.1093/qjmam/hbac004.

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Summary We consider the flow of generalized Newtonian fluid through a thin porous media. The media under consideration is a bounded perforated three dimensional domain confined between two parallel plates, where the distance between the plates is described by a small parameter $\varepsilon$. The perforation consists in an array of solid cylinders, which connect the plates in perpendicular direction, with diameter of size $\varepsilon$ and distributed periodically with period $\varepsilon$. The flow is described by the three dimensional incompressible stationary Stokes system with a nonlinear viscosity following the Carreau law. We study the limit when the thickness tends to zero and prove that the averaged velocity satisfies a nonlinear two-dimensional homogenized law of Carreau type. We illustrate our homogenization result by numerical simulations showing the influence of the Carreau law on the behavior of the limit system, in the case where the flow is driven by a constant pressure gradient and for different geometries of perforations.
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26

Hayat, T., Humaira Yasmin, and A. Alsaedi. "Peristaltic Motion of Carreau Fluid in a Channel with Convective Boundary Conditions." Applied Bionics and Biomechanics 11, no. 3 (2014): 157–68. http://dx.doi.org/10.1155/2014/571689.

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We investigate the peristaltic motion of Carreau fluid in an asymmetric channel with convective boundary conditions. Mathematical formulation is first reduced in a wave frame of reference and then solutions are constructed by long wavelength and low Reynolds number conventions. Results of the stream function, axial pressure gradient, temperature and pressure rise over a wavelength are obtained for small Weissenberg number. Velocity and temperature distributions are analyzed for different parameters of interest. A comparative study between the results of Newtonian and Carreau fluids is given.
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Kothandapani, M., J. Prakash, and S. Srinivas. "Peristaltic transport of a MHD Carreau fluid in a tapered asymmetric channel with permeable walls." International Journal of Biomathematics 08, no. 04 (June 22, 2015): 1550054. http://dx.doi.org/10.1142/s1793524515500540.

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The effect of permeable walls and magnetic field on the peristaltic flow of a Carreau fluid in a tapered asymmetric channel is studied. The tapered asymmetric channel is normally created due to the intra-uterine fluid flow induced by myometrial contractions and it was simulated by asymmetric peristaltic fluid flow in a two-dimensional infinite non-uniform channel. The analysis has been performed under long wavelength and low-Reynolds number assumptions to linearize the governing flow equations. A series solution in respect of a small Weissenberg number is obtained for the stream function, axial pressure gradient and shear stress. Time average of pressure rise and frictional force on the upper wall has also been computed using numerical integration. The results have been presented graphically for the various interested physical parameters. It is observed that for Carreau fluids the peristalsis works as a pump against a greater pressure rise compared with a Newtonian fluid, while there exists no significant difference in free pumping flux for Newtonian and Carreau fluids in the tapered asymmetric channel.
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28

Liu, Lujia, and Lijun Yang. "Nonlinear wave evolution of shear-thinning Carreau liquid sheets." Journal of Fluid Mechanics 859 (November 22, 2018): 659–76. http://dx.doi.org/10.1017/jfm.2018.810.

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Researches on nonlinear instability of power-law plane sheets have been conducted using the Carreau model as the constitutive model. Combined with asymptotic expansion and long-wave assumption, the governing equations and boundary conditions were manipulated using integral transform. The first-order dimensionless dispersion relation between unstable growth rate and wavenumber was obtained and the second-order interface disturbance amplitude was calculated. By comparison and analysis of components of the second-order interface disturbance amplitude, it was found that the power-law index $n$ ($n<1$) only had an impact on instability of waves with the fundamental wavelength or one third the fundamental wavelength. The findings show that the Carreau-law rheological parameter $B_{p}$ has little impact on the second-order disturbance amplitude at the interfaces in a practical situation, while the Reynolds number has a positive effect on the growth rate of the disturbance amplitude for the power-law liquid sheets. Finally, the growth rates obtained by numerical simulation and analytical solution have been compared, and the results showed good agreement in the initial phase of wave evolution.
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29

Noreen, Saima, Tasawar Hayat, and Ahmed Alsaedi. "Flow of MHD Carreau Fluid in a Curved Channel." Applied Bionics and Biomechanics 10, no. 1 (2013): 29–39. http://dx.doi.org/10.1155/2013/321512.

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Analysis has been made for the curvature effects on the MHD peristaltic flow of an incompressible Carreau fluid in a channel. The flow problem is first reduced in the wave frame of reference and then solved after employing the long wavelength and low Reynolds number approximations. Expressions of stream function, pressure gradient, magnetic force function, induced magnetic field and current density are derived and then examined for various parameters of interest.
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30

Nadeem, S., A. Munim, A. Shaheen, and S. Hussain. "Physiological flow of Carreau fluid due to ciliary motion." AIP Advances 6, no. 3 (March 2016): 035125. http://dx.doi.org/10.1063/1.4945270.

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31

Lee, Eric, Chia-Sheun Tai, Jyh-Ping Hsu, and Chur-Jen Chen. "Electrophoresis in a Carreau Fluid at Arbitrary Zeta Potentials." Langmuir 20, no. 19 (September 2004): 7952–59. http://dx.doi.org/10.1021/la0491955.

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32

Rousset, F., S. Millet, V. Botton, and H. Ben Hadid. "Temporal Stability of Carreau Fluid Flow Down an Incline." Journal of Fluids Engineering 129, no. 7 (January 16, 2007): 913–20. http://dx.doi.org/10.1115/1.2742737.

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This paper deals with the temporal stability of a Carreau fluid flow down an inclined plane. As a first step, a weakly non-Newtonian behavior is considered in the limit of very long waves. It is found that the critical Reynolds number is lower for shear-thinning fluids than for Newtonian fluids, while the celerity is larger. In a second step, the general case is studied numerically. Particular attention is paid to small angles of inclination for which either surface or shear modes can arise. It is shown that shear dependency can change the nature of instability.
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33

Uddin, J., J. O. Marston, and S. T. Thoroddsen. "Squeeze flow of a Carreau fluid during sphere impact." Physics of Fluids 24, no. 7 (July 2012): 073104. http://dx.doi.org/10.1063/1.4736742.

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34

Hsu, Jyh-Ping, Ching-Feng Shie, and Shiojenn Tseng. "Sedimentation of a cylindrical particle in a Carreau fluid." Journal of Colloid and Interface Science 286, no. 1 (June 2005): 392–99. http://dx.doi.org/10.1016/j.jcis.2005.01.041.

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35

HAYAT, T., M. WAQAS, S. A. SHEHZAD, and A. ALSAEDI. "Stretched flow of Carreau nanofluid with convective boundary condition." Pramana 86, no. 1 (December 12, 2015): 3–17. http://dx.doi.org/10.1007/s12043-015-1137-y.

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36

Gauthier, Joseph. "Sainte-Marie-aux-Mines (Haut-Rhin). Carreau « Sainte-Barbe »." Archéologie médiévale, no. 50 (December 30, 2020): 357–58. http://dx.doi.org/10.4000/archeomed.34086.

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Gauthier, Joseph. "Sainte-Marie-aux-Mines (Haut-Rhin). Carreau Sainte-Barbe." Archéologie médiévale, no. 51 (December 20, 2021): 292–93. http://dx.doi.org/10.4000/archeomed.40135.

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38

Jang, J. Y., M. M. Khonsari, and S. Bair. "On the elastohydrodynamic analysis of shear-thinning fluids." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 463, no. 2088 (October 2, 2007): 3271–90. http://dx.doi.org/10.1098/rspa.2007.0062.

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Realistic prediction of the characteristics of the elastohydrodynamic lubrication (EHL) contact requires consideration of the appropriate constitutive equation for the lubricant. In many applications, the lubricant exhibits a shear-thinning behaviour which significantly affects the film thickness. In this paper, we present a generalized formulation that can efficiently treat shear-thinning fluids with provision for compressibility in the EHL line contact. Specifically, the Carreau model and the sinh-law model are investigated. An extensive set of numerical solutions and comparison with experiments reveal that the Carreau equation properly captures the film thickness behaviour under both rolling and sliding conditions.
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39

Lim Yeou Jiann, Sharidan Shafie, Ahmad Qushairi Mohamad, and Noraihan Afiqah Rawi. "Homotopy Analysis of Carreau Fluid Flow Over a Stretching Cylinder." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 88, no. 2 (November 1, 2021): 80–92. http://dx.doi.org/10.37934/arfmts.88.2.8092.

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Carreau fluid flows past a stretching cylinder is elucidated in the present study. The transformed self-similarity and dimensionless boundary layer equations are solved by using the Homotopy analysis method. A convergence study of the method is illustrated explicitly. Series solutions of the highly nonlinear differential equations are computed and it is very efficient in demonstrating the characteristic of the Carreau fluid. Validation of the series solutions is achieved via comparing with earlier published results. Those results are obtained by using the Keller-Box method. The effects of the Weissenberg number and curvature parameter on the velocity profiles are discussed by graphs and tabular. The velocity curves have shown different behavior in and for an increase of the Weissenberg number. Further, the curvature parameter K does increase the velocity profiles.
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40

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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41

Akram, Safia, and Najma Saleem. "Analysis of Heating Effects and Different Wave Forms on Peristaltic Flow of Carreau Fluid in Rectangular Duct." Advances in Mathematical Physics 2020 (May 20, 2020): 1–14. http://dx.doi.org/10.1155/2020/8294318.

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The existing analysis deals with heat transfer occurrence on peristaltic transport of a Carreau fluid in a rectangular duct. Flow is scrutinized in a wave frame of reference moving with velocity c away from a fixed frame. A peristaltic wave propagating on the horizontal side walls of a rectangular duct is discussed under lubrication approximation. In order to carry out the analytical solution of velocity, temperature, and pressure gradient, the homotopy perturbation method is employed. Graphical results are displayed to see the impact of various emerging parameters of the Carreau fluid and power law index. Trapping effects of peristaltic transport is also discussed and observed that number of trapping bolus decreases with an increase in aspect ratio β.
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42

Al-Azawy, Mohammed Ghalib, Saleem Khalefa Kadhim, and Azzam Sabah Hameed. "Newtonian and Non-Newtonian Blood Rheology Inside a Model of Stenosis." CFD Letters 12, no. 11 (November 30, 2020): 27–36. http://dx.doi.org/10.37934/cfdl.12.11.2736.

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In order to imitate the atherosclerosis artery disease and determine the key issues, Computational Fluid Dynamics (CFD) is able to play a leading rule in the analysis of flow physics within the clogged arteries, in particular the stenosis artery. The problem of blood flow blockage through the blood vessel has been investigated numerically within a stenosis artery. In this work, a CFD technique was employed to solve the three-dimensional, steady, laminar and non-Newtonian Carreau model blood flow through a stenosis artery using Star-CCM+ software. The shape of stenosis that has been selected is a trapezoidal with two cases (70% and 90% blockage). Shear rate, streamlines, vorticity and importance factor are examined to assess the influence of non-Newtonian model through the test section, the Carreau model was compared with Newtonian model. The clinical significance of the shear rate is reported for the examined cases, observing that the levels of non-Newtonian model are predicted to be higher in the 90% blockage than that observed within the 70%; the same finding as related with the axial velocity and vorticity. The levels of re-circulation areas and vorticity are showed to be enlarged in the Carreau model compared with the case of Newtonian.
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43

Talebzadegan, Mohsen, Mojtaba Moravej, Ehsanolah Assareh, and Mohsen Izadi. "Melting process modeling of Carreau non-Newtonian phase- change material in dual porous vertical concentric cylinders." Thermal Science, no. 00 (2020): 329. http://dx.doi.org/10.2298/tsci200711329t.

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In this paper a numerical simulation of the melting process of Carreau non- Newtonian phase-change material (PCM) inside two porous vertical concentric cylinders included constant temperatures of the inner and outer walls, represented by Th and Tc respectively. Half of the void between the two pipes is filled with copper porous media and paraffin wax as a phase change material. The governing equations are converted into a dimentionless form and are solved using the finite element method. The enthalpy- porosity theory is applied to simulate the phase change of PCM while the porous media follow to the Darcy law. Outcomes are shown and compared in terms of the streamline, isotherm, melting fraction and mean Nusselt numbers. The solid- liquid interface location and the temperature distribution are predicted to describe the melting process. The effects of the Carreau index, porosity and non-dimensional parameters such as Stefan number, Darcy number and Rayleigh number are analyzed. Our results indicate a good agreement between this study and the previous investigations. The results show that an increase in Rayleigh number, Stefan number and Darcy number increases the melting volume fraction and reduces the melting time. Also, the time of melting non-Newtonian phase change material decreases when Carreau index and porosity decrease.
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44

Yang, Dezhi, Muhammad Israr Ur Rehman, Aamir Hamid, and Saif Ullah. "Multiple Solutions for Stagnation-Point Flow of Unsteady Carreau Fluid along a Permeable Stretching/Shrinking Sheet with Non-Uniform Heat Generation." Coatings 11, no. 9 (August 24, 2021): 1012. http://dx.doi.org/10.3390/coatings11091012.

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The aim of the present study was to explore the effect of a non-uniform heat source/sink on the unsteady stagnation point flow of Carreau fluid past a permeable stretching/shrinking sheet. The novelty of the flow model was enhanced with additional effects of magnetohydrodynamics, joule heating, and viscous dissipation. The nonlinear partial differential equations were converted into ordinary differential equations with the assistance of appropriate similarity relations and were then tackled by employing the Runge-Kutta-Fehlberg technique with the shooting method. The impacts of pertinent parameters on the dimensionless velocity and temperature profiles along with the friction factor and local Nusselt number were extensively discussed by means of graphical depictions and tables. The current results were compared to the previous findings under certain conditions to determine the precision and validity of the present study. The fluid flow velocity of Carreau fluid increased with the value of the magnetic parameter in the case of the first solution, and the opposite behavior was noticed for the second solution. It was seen that temperature of the Carreau fluid expanded with the higher values of unsteadiness and magnetic parameters. It was visualized from multiple branches that the local Nusselt number declined with the Eckert number parameter for both the upper and lower branch.
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45

Naz, Rahila, Fazle Mabood, and Tasawar Hayat. "Inclined magnetic field effects on Marangoni flow of Carreau liquid." Thermal Science 24, no. 2 Part B (2020): 1131–41. http://dx.doi.org/10.2298/tsci180429211n.

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Marangoni convection flow of Carreau liquid by an inclined porous surface is addressed. Magnetic field is taken inclined. Non-linear thermal radiation effects are incorporated considering the Rosseland?s approximation. Runge-Kutta-Fehl?berg fourth fifth order scheme is utilized to solve the non-linear equations subject to non-linear convective boundary conditions. Non-linear expression of Nusselt number is derived. Concrete graphical description is present out for flow velocity, temperature and Nusselt number. Numerical treatment of non-linear Nusselt number is performed and analyzed.
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46

Wang, Erhui, Xuelan Zhang, Liancun Zheng, and Goong Chen. "The liquid of aloe extract with shear-thinning Carreau fluids." Journal of Molecular Liquids 309 (July 2020): 113011. http://dx.doi.org/10.1016/j.molliq.2020.113011.

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47

Khan, Mair, M. Y. Malik, T. Salahuddin, and Imad Khan. "Numerical modeling of Carreau fluid due to variable thicked surface." Results in Physics 7 (2017): 2384–90. http://dx.doi.org/10.1016/j.rinp.2017.07.008.

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48

Machač, Ivan, Bedřich Šiška, and Roman Teichman. "Fall of non-spherical particles in a Carreau model liquid." Chemical Engineering and Processing: Process Intensification 41, no. 7 (August 2002): 577–84. http://dx.doi.org/10.1016/s0255-2701(01)00179-9.

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49

SALEEM, NAJMA, T. HAYAT, and A. ALSAEDI. "A HYDROMAGNETIC MATHEMATICAL MODEL FOR BLOOD FLOW OF CARREAU FLUID." International Journal of Biomathematics 07, no. 01 (January 2014): 1450010. http://dx.doi.org/10.1142/s1793524514500107.

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This paper constructs a mathematical model for blood flow through an artery with mild stenosis. Constitutive equations for Carreau fluid are employed in the mathematical modeling. Analysis has been carried out in the presence of constant magnetic field. Symmetric and asymmetric shapes of stenosis are taken. Governing flow model is computed for the series solution. The flow quantities of interest, for instance, axial velocity, pressure gradient, pressure drop, impedance and shear stress at the walls of stenotic artery are described for various pertinent parameters entering into the problem.
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50

Ahmed, Bilal, T. Hayat, A. Alsaedi, and F. M. Abbasi. "Entropy generation analysis for peristaltic motion of Carreau–Yasuda nanomaterial." Physica Scripta 95, no. 5 (February 25, 2020): 055804. http://dx.doi.org/10.1088/1402-4896/ab4550.

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