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Free-convection effects on MHD flow past a porous plate with step function change in suction velocity

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Abstract

Free convection effects on MHD flow past a semi infinite porous flat plate is studied when the time dependent suction velocity changes in step function form. The solution of the problem is obtained in closed form for the fluid with unit Prandtl number. It is observed that for both cooling and heating of the plate the suction velocity enhances the velocity field. The heat transfer is higher with increase in suction velocity.

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Abbreviations

B :

intensity of magnetic field

G :

Grashof number

H :

magnetic field parameter,H=(M+1/4) 1/2−1/2

M :

magnetic field parameter

N u :

Nusselt number

P :

Prandtl number of the fluid

r :

suction parameter

T :

temperature of the fluid

T w :

temperature of the plate

T :

temperature of the fluid at infinity

t′:

time

t :

non-dimensional time

u′:

velocity of the fluid parallel to the plate

u :

non-dimensional velocity

U :

velocity of the free stream

ν′:

suction velocity

ν1 :

suction velocity att≤0

ν2 :

suction velocity att>0

x′,y′:

coordinate axes parallel and normal to the plate, respectively

y :

non-dimensional distance normal to the plate

β:

coefficient of volume expansion

∝:

thermal diffusivity

ν:

kinematic viscosity

σ:

electric conductivity of the fluid

ρ:

density of the fluid

θ:

non-dimensional temperature of the fluid

τ′:

shear stress at the plate

τ:

non dimensional shear stress

erf:

error function

erfc:

complementary error function

References

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Authors and Affiliations

  1. Department of Engineering Physics, McMaster University, Hamilton, Canada

    S. T. Revankar

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  1. S. T. Revankar
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Revankar, S.T. Free-convection effects on MHD flow past a porous plate with step function change in suction velocity. Astrophys Space Sci 86, 13–23 (1982). https://doi.org/10.1007/BF00651825

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  • DOI: https://doi.org/10.1007/BF00651825

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