A nonlinear weighted least-squares finite element method for the Carreau–Yasuda non-Newtonian model

Lee, Hsueh-Chen

doi:10.1016/j.jmaa.2015.07.012

Cited by 17 publications

(4 citation statements)

References 16 publications

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“…He utilized the similarity transformations for reducing the governing flow modeled equations. The Carreau-Yasuda liquid flow via finite element method has been examined by Lee [32]. Allouri and Vasseur [33] deliberated the free convective flow over a cavity.…”

Section: Introductionmentioning

confidence: 99%

Physical aspects and streamline analysis on hydromagnetic nonlinear radiative flow of Carreau-Yasuda fluid

2020

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The physical aspects of flow and heat transport analysis of non-Newtonian (Carreau-Yasuda) fluid through an upper paraboloid surface of revolution has been scrutinized. Non-linear radiation, magnetic field, heat generation are considered in this study. The governing flow equations are modeled in the formulation. The governing flow equations (PDE’s) are changed into a system of ODE’s by employing the related transformation variables. The highly non-linear and coupled ODE’s are resolved aid of Runge–Kutta fourth-order along shooting numerical procedure. The physical flow and temperature phenomena have analyzed for both Newtonian and Non-Newtonian fluid cases through plots for the dimensionless sundry variables. The fluid velocity dwindled with the escalation of the magnetic field. An increase in fluid temperature is observed against the temperature ratio variable. Behaviour of fluid temperature of Newtonian fluid is excessive as compared to the Carreau-Yasuda fluid case for the exponential parameter N. The present model (Carreau-Yasuda fluid) is simplified to the viscous fluid (Newtonian fluid) case when n = 1. The streamline flow patterns are reduced for higher thermal Grashof number Gr. The numerical comparison has been deliberated with existing outcomes for a limit case. The heat augmentation analysis through Carreau-Yasuda liquid has prominent applications in non-linear science and industrial technology.

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Section: Introductionmentioning

confidence: 99%

Physical aspects and streamline analysis on hydromagnetic nonlinear radiative flow of Carreau-Yasuda fluid

2020

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“…Peralta et al [11] study the flow of a CY fluid across a vertical surface using a mathematical model. Lee [12] determines the thermophysical characteristics of the CY fluid using a nonlinear weighted least squares approach based on the FEM technique. Alloui and Vasseur [13] analyze the influence of heat transfer in a vertical cavity filled with CY-Nanofluid (NF) numerically.…”

Section: Introductionmentioning

confidence: 99%

Numerical study of Cattaneo‐Christov heat transfer in MHD Carreau‐Yasuda hybrid nanofluid subjected to Buoyancy force

et al. 2023

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Hybrid nanofluids (HNFs) have potentials applications in automotive industry, heating and cooling systems, biomedical and other fields due to their ability to introduce higher thermal conductivity than standard nanofluids. The purpose of this study is to investigate and compare the thermal transport performance (in the presence of buoyancy force) of two sets of HNFs. The hybrid nanoparticles which is the combination of titanium carbide and aluminium oxide, and the combination of titanium carbide‐copper oxide are taken into account. Both types of hybrid nanoparticles are dispersed in as a subjective fluid over a vertical nonlinear stretching sheet embedded in a porous medium. This will be the first study on the MXene base material , making it possible for MXene‐based materials to enter the fluid dynamics field. Further, MXene material as heat transporting material is studied less and much more is needed for explore its various aspect. The specific combination of , and is considered because of their promising thermophysical and thermal transport properties. Moreover, considered combination of nanoparticles and the base fluid form a mixture which has thermal relaxation characteristics due to which its deviates from classical Fourier law of heat conduction. Therefore, instead of conventional Fourier's law of heat conduction, the non‐Fourier law of heat conduction is used to formulate the energy equation. It is first time that fhe finite element of method (FEM) is used for such a coupled and nonlinear complex problems of computational fluid dynamics (CFD). The numerical and graphical impacts of magnetic fields, Grashof number, permeable parameter, and thermal relaxation time parameter on velocity, and heat transport are investigated by applying FEM on formulated boundary value problems. In each studied system, increasing the Hartmann number causes an increase the skin friction coefficient and a decrease in the Nusselt number. Moreover, by increasing the thermal relaxation parameter, the temperature of the fluid decreases significantly. The velocity of the modified nanofluids is directly proportional to the Grashof number. The thermal boundary layer thickness (TBLT) and momentum boundary layer thickness (MBLT) of Carreau‐Yasuda (CY)‐HNF (Set II) is greater than CY hybrid nanofluid (CY‐HNF) (Set I) and CY‐Nanofluid (NF), respectively. We believe that the current research work provides new insights to improve the heat transport of nanofluid using appropriate combination of hybrid nanoparticles for practical application.

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“…In the vast majority of the physiological and industrial processes, flow models dependent on non-Newtonian fluids are much significant as compared to Newtonian fluids. The important researches on non-Newtonian fluids have been conducted [17][18][19][20][21][22]. In these fluids, relationship between deformation rate and shear stress is nonlinear.…”

Section: Introductionmentioning

confidence: 99%

Nonsimilar modeling analysis of Carreau–Yasuda mixed convective flow in a porous medium subjected to Soret and Dufour influences

Cui,

Ashraf,

Cheng

et al. 2023

Z Angew Math Mech

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This nonsimilar convection study is about the flow of Carreau–Yasuda (CY) nanofluid model above a vertically extendible surface. Convection in a fluid‐filled permeable medium has given due consideration because of its relevance in a variety of applications, including insulation, relocation of water from geothermal reservoirs, storage of nuclear waste, renewable energy, mechanical engineering, and enhanced oil reservoir recovery. By virtue of linear stretching and buoyancy effects, flow in a stationary fluid is induced along a vertical porous surface. In x‐momentum equation, linear buoyancy in the context of temperature and concentration is taken into consideration. Modeling of energy expression is done in the presence of Dufour and Soret influences. Governing differential system describing convection equations is changed into nonlinear partial differential system (PDE) by implementing applicable nonsimilar transformations. By making use of analytical local nonsimilarity (LNS) technique and bvp4c (numerical finite difference‐based algorithm), the transformed dimensionless nonsimilar structure is simulated numerically. At the end, the alteration of important nondimensional numbers is studied on transport quantities such as temperature, concentration and velocity field. The repercussions of relevant parameters on drag coefficient, Nusselt number and Sherwood number have been tabulated. Numerical simulations of nonsimilar model suggests that the velocity profile reduces due to rise in the values of Weissenberg number, porosity and suction parameter. The temperature profile is increased in comparison with the higher estimates, Eckert, and Dufour numbers. Because of larger values of Soret and Prandtl number, an increase in concentration profile is seen. Friction coefficient and Nusselt number increases with respect to higher estimations of porosity parameter, Weissenberg number and Prandtl number respectively, whereas they decrease against Dufour and Eckert variations.

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A nonlinear weighted least-squares finite element method for the Carreau–Yasuda non-Newtonian model

Cited by 17 publications

References 16 publications

Physical aspects and streamline analysis on hydromagnetic nonlinear radiative flow of Carreau-Yasuda fluid

Physical aspects and streamline analysis on hydromagnetic nonlinear radiative flow of Carreau-Yasuda fluid

Numerical study of Cattaneo‐Christov heat transfer in MHD Carreau‐Yasuda hybrid nanofluid subjected to Buoyancy force

Nonsimilar modeling analysis of Carreau–Yasuda mixed convective flow in a porous medium subjected to Soret and Dufour influences

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