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Soret and Dufour effects on unsteady MHD flow past an infinite vertical porous plate with thermal radiation

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Abstract

The objective of the present study is to investigate the effect of flow parameters on the free convection and mass transfer of an unsteady magnetohydrodynamic flow of an electrically conducting, viscous, and incompressible fluid past an infinite vertical porous plate under oscillatory suction velocity and thermal radiation. The Dufour (diffusion thermo) and Soret (thermal diffusion) effects are taken into account. The problem is solved numerically using the finite element method for the velocity, the temperature, and the concentration field. The expression for the skin friction, the rate of heat and mass transfer is obtained. The results are presented numerically through graphs and tables for the externally cooled plate (Gr > 0) and the externally heated plate (Gr < 0) to observe the effects of various parameters encountered in the equations.

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Abbreviations

C′:

concentration

C :

dimensionless concentration

C′w:

concentration near the plate

g :

acceleration due to gravity

C′∞:

concentration in the fluid far away from the plate

µ:

coefficient of viscosity

D :

chemical molecular diffusivity

(Gr)t :

thermal Grashof number

(Gr)m :

mass Grashof number

Pr :

Prandtl number

Sc :

Schmidt number

T :

temperature

ɛ :

porosity of the porous medium

T w :

temperature of the plate

t :

dimensionless time

T ∞ :

temperature of the fluid far away from the plate

k e :

mean absorption coefficient

t′:

time

µ:

coefficient of viscosity

u :

velocity component in the x′-direction

ν :

kinematic viscosity

U :

dimensionless velocity component in the x-direction

ρ :

density of the fluid

K o :

constant permeability of the medium

x :

spatial coordinate along the plate

θ :

dimensionless temperature

y :

spatial coordinate normal to the plate

α :

thermal diffusivity

Y :

dimensionless spatial coordinate normal to the plate

Sr,Du:

Soret and Dufour numbers

N :

thermal radiation

β :

coefficient of volume expansion

η :

frequency of oscillation

β*:

volumetric coefficient of expansion with concentration.

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Authors and Affiliations

  1. Department of Mathematics, University College of Science, Osmania University, Hyderabad, 500007, Andhra Pradesh, India

    S. R. Vempati & A. B. Laxmi-Narayana-Gari

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  1. S. R. Vempati
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  2. A. B. Laxmi-Narayana-Gari
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Correspondence to S. R. Vempati.

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Vempati, S.R., Laxmi-Narayana-Gari, A.B. Soret and Dufour effects on unsteady MHD flow past an infinite vertical porous plate with thermal radiation. Appl. Math. Mech.-Engl. Ed. 31, 1481–1496 (2010). https://doi.org/10.1007/s10483-010-1378-9

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  • DOI: https://doi.org/10.1007/s10483-010-1378-9

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