Effect of inclined magnetic field in flow of third grade fluid with variable thermal conductivity

Hayat, Tasawar; Shafiq, Anum; Alsaedi, Ahmed; Asghar, S.

doi:10.1063/1.4928321

Cited by 74 publications

(22 citation statements)

References 36 publications

(35 reference statements)

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“…Polyethylene oxides in water, manufacturing oils, slurries, and molten plastics are some of the listed examples of a third‐grade fluid model. The impact of inclined magnetic‐field and heat transfer effects for third‐grade fluid flow by considering exponentially stretching surface geometry have been revealed . Also, Hayat et al explored the outcomes of third‐grade and second‐grade fluid parameters on the flow‐field.…”

Section: Introductionmentioning

confidence: 99%

Computational unsteady flow analysis for third‐grade fluid from an isothermal vertical cylinder through a Darcian porous medium

Hiremath

Reddy

Bég

2019

Heat Trans. Asian Res.

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The present study describes a mathematical model for free‐convective laminar incompressible boundary layer flow of a third‐grade fluid of the Reiner‐Rivlin differential type, external to an evenly heated semi‐infinite vertical cylinder through a two‐dimensional porous medium. Assuming a homogenous‐isotropic porous medium, simulation of bulk drag effects at low Reynolds number is conducted with the Darcy model. The resulting partial differential equation boundary value problem is normalized using suitable transformation variables. The highly nonlinear time‐dependent coupled conservation equations along with boundary conditions are resolved computationally with an optimized Crank‐Nicolson finite difference code. Validation with previous studies is included. The heat transport and skin‐friction coefficients are computed for different values of emerging nondimensional parameters. Furthermore, steady‐state and transient fluid flow variables are shown graphically. An enhanced fluid velocity is observed for increased Darcy number and the reverse trend is computed for higher values of third‐grade viscoelastic parameter. Also, the rate of heat transfer is observed to increase with greater Darcy number and a reduction in third‐grade viscoelastic parameter. A key observation which is drawn from the present study is that for third‐grade fluid the flow variables deviate significantly from a hot cylindrical wall as compared with a Newtonian fluid. The study is relevant to thermal polymer coating applications in aerospace materials processing.

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Section: Introductionmentioning

confidence: 99%

Computational unsteady flow analysis for third‐grade fluid from an isothermal vertical cylinder through a Darcian porous medium

Hiremath

Reddy

Bég

2019

Heat Trans. Asian Res.

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“…Das et al [12] presented simulated results for heat and mass transfer in an electrically conducting incompressible nanofluid flow near a heated stretching sheet with a convective boundary condition. The impact of an inclined magnetic field in the flow of a fluid with variable thermal conductivity was studied by Hayat et al [13,14]. An analysis of the significance of a heat source/ sink and temperature dependent thermal conductivity was given.…”

Section: Introductionmentioning

confidence: 99%

An unsteady MHD Maxwell nanofluid flow with convective boundary conditions using spectral local linearization method

Sithole¹,

Mondal²,

Sibanda³

et al. 2017

Open Physics

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Abstract:The main focus of this study is on unsteady Maxwell nanofluid flow over a shrinking surface with convective and slip boundary conditions. The objective is to give an evaluation of the impact and significance of Brownian motion and thermophoresis when the nanofluid particle volume fraction flux at the boundary is zero. The transformed equations are solved numerically using the spectral local linearization method. We present an analysis of the residual errors to show the accuracy and convergence of the spectral local linearization method. We explore the effect of magnetic field and thermophoresis parameters on the heat transfer rate. We show, among other results, that an increase in particle Brownian motion leads to a decrease in the concentration profiles but concentration profiles increase with the increasing value of thermophoresis parameter

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“…Hamza et al 21 have examined the MHD convective flow between two vertical walls considering variable thermal conductivity and it was observed that velocity and temperature profiles increase with an enhancement in variable thermal conductivity parameter. Hayat et al 22 have discussed effect of inclined magnetic field in flow of third grade fluid with variable thermal conductivity and heat source/sink. Observations indicate that velocity profile declines with an increase in magnetic field parameter.…”

Section: Introductionmentioning

confidence: 99%

Mixed convection flow with non-uniform heat source/sink in a doubly stratified magnetonanofluid

2016

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Heat and mass transfer analysis of unsteady MHD nanofluid flow through a channel with moving porous walls and medium AIP Advances 6, 045222 (2016) In this study, we explore the unsteady flow of viscous nanofluid driven by an inclined stretching sheet. The novelty of the present study is to account for the effect of a non-uniform heat source/sink in a thermally and solutally stratified magnetonanofluid. Governing system of nonlinear partial differential equations is converted into a system of nonlinear ordinary differential equations. Solution of the transformed system is obtained using RK4 method with shooting technique. It is observed that increase in the values of thermal and mass stratification parameter reduce the velocity profile and increase in the values of variable thermal conductivity parameter and non-uniform heat source/sink parameters enhance the temperature distribution. Moreover, skin friction coefficient, Nusselt number and Sherwood number are discussed. Obtained results are displayed both graphically and in tabular form to illustrate the effect of different parameters on the velocity, temperature and concentration profiles. Numerical results are compared with previous published results and found to be in good agreement for special cases of the emerging parameters. C 2016 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license

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Effect of inclined magnetic field in flow of third grade fluid with variable thermal conductivity

Cited by 74 publications

References 36 publications

Computational unsteady flow analysis for third‐grade fluid from an isothermal vertical cylinder through a Darcian porous medium

Computational unsteady flow analysis for third‐grade fluid from an isothermal vertical cylinder through a Darcian porous medium

An unsteady MHD Maxwell nanofluid flow with convective boundary conditions using spectral local linearization method

Mixed convection flow with non-uniform heat source/sink in a doubly stratified magnetonanofluid

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