Effects of Thermal Radiation on Unsteady Magnetohydrodynamic Flow of a Micropolar Fluid with Heat and Mass Transfer

Hayat, Tasawar; Qasim, Muhammad

doi:10.1515/zna-2010-1107

Cited by 20 publications

(11 citation statements)

References 11 publications

(12 reference statements)

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“…who used a variational finite element method to investigate strong radiative flux in both free and forced convection of micropolar liquids. However, it is worthwhile to mention the contribution made by several authors in this regard with numerical or analytical approach are Hayat and Qasim (2014) used Homotopy analysis to study thermal radiation effects on magnetohydrodynamic flow of micropolar fluid. used variational finite element method to study…”

Section: Introductionmentioning

confidence: 99%

Computation of Unsteady MHD Mixed Convective Heat and Mass Transfer in Dissipative Reactive Micropolar Flow Considering Sorte and Dufour Effects

Shamshuddin¹,

Chamkha²,

Thumma³

et al. 2018

Frontiers in Heat and Mass Transfer

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In the current paper, a finite element computational solution is conducted for MHD double diffusive flow characterizing dissipative micropolar mixed convective heat and mass transfer adjacent to a vertical porous plate embedded in a saturated porous medium. The micropolar fluid is also chemically reacting, both Soret and Dufour effects and also heat absorption included. The governing partial differential equations for momentum, heat, angular momentum and species conservation are transformed into dimensionless form under the assumption of low Reynolds number with appropriate dimensionless quantities. The emerging boundary value problem is then solved numerically with an efficient computational finite element method employing the weighted residual approach. The influence of various emerging physical parameters like thermal Grashof number, solutal Grashof number, Magnetic body force parameter, permeability parameter, radiation parameter, heat absorption parameter, Eckert number, Schmidt number, Soret and Dufour effects and first order chemical reaction parameter are examined, we observed that the microrotation velocity profiles do not show uniform variations with Eringen vortex viscosity parameter and graphical results visualize the velocity of a Newtonian fluid is lower as compared with a micropolar fluid one. Furthermore, finite element code is benchmarked with the results reported in the literature to check the validity and accuracy under some limiting cases and excellent agreement is seen with published solutions. Finally, results of skin friction coefficient, couple stress coefficient, Nusselt number and Sherwood number for invoked parameter are tabulated which shows that Sherwood number is enhances with increasing Soret number and homogeneous chemical reaction. Nusselt number is increased with an increase of Eckert number and Dufour number.

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Section: Introductionmentioning

confidence: 99%

Computation of Unsteady MHD Mixed Convective Heat and Mass Transfer in Dissipative Reactive Micropolar Flow Considering Sorte and Dufour Effects

Shamshuddin¹,

Chamkha²,

Thumma³

et al. 2018

Frontiers in Heat and Mass Transfer

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“…Very recently, Khan et al [21] studied MHD flow of Burger's fluid and obtained exact solutions of Stokes' first problem by using the Laplace and Fourier sine transforms. The MHD flows of these fluid models and some other well known non-Newtonian fluids models such as second grade fluid [22]–[27], third grade fluid [28], Maxwell fluid [29], [30], generalized Burgers' fluid [31], [32], Micropolar fluid [33], [34], Walters-B liquid fluid [35], Jeffery fluid [36] and Nanofluid [37] are used to describe stress relaxation, shear thinning or shear thickening, normal stress effects, earth's mantle, asphalt and asphalt mixes, food products and soil, dilute polymeric solutions, hydrocarbons, paints and several other industrial and geomechanical fluids.…”

Section: Introductionmentioning

confidence: 99%

Stokes' Second Problem for Magnetohydrodynamics Flow in a Burgers' Fluid: The Cases γ = λ2/4 and γ>λ2/4

2013

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The present work is concerned with exact solutions of Stokes second problem for magnetohydrodynamics (MHD) flow of a Burgers' fluid. The fluid over a flat plate is assumed to be electrically conducting in the presence of a uniform magnetic field applied in outward transverse direction to the flow. The equations governing the flow are modeled and then solved using the Laplace transform technique. The expressions of velocity field and tangential stress are developed when the relaxation time satisfies the condition γ = λ2/4 or γ>λ2/4. The obtained closed form solutions are presented in the form of simple or multiple integrals in terms of Bessel functions and terms with only Bessel functions. The numerical integration is performed and the graphical results are displayed for the involved flow parameters. It is found that the velocity decreases whereas the shear stress increases when the Hartmann number is increased. The solutions corresponding to the Stokes' first problem for hydrodynamic Burgers' fluids are obtained as limiting cases of the present solutions. Similar solutions for Stokes' second problem of hydrodynamic Burgers' fluids and those for Newtonian and Oldroyd-B fluids can also be obtained as limiting cases of these solutions.

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“…An analysis of the significance of a heat source/ sink and temperature dependent thermal conductivity was given. Qasim and Hayat [15] investigated the impact of heat loss through thermal radiation in unsteady magnetohydrodynamic flow of a micropolar fluid. The influence of Joule heating and thermophoresis in a Maxwell fluid was studied in [16].…”

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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Effects of Thermal Radiation on Unsteady Magnetohydrodynamic Flow of a Micropolar Fluid with Heat and Mass Transfer

Cited by 20 publications

References 11 publications

Computation of Unsteady MHD Mixed Convective Heat and Mass Transfer in Dissipative Reactive Micropolar Flow Considering Sorte and Dufour Effects

Computation of Unsteady MHD Mixed Convective Heat and Mass Transfer in Dissipative Reactive Micropolar Flow Considering Sorte and Dufour Effects

Stokes' Second Problem for Magnetohydrodynamics Flow in a Burgers' Fluid: The Cases γ = λ2/4 and γ>λ2/4

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

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