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Finite-difference analysis of MHD Stokes problem for a vertical infinite plate in dissipative fluid

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Abstract

Finite-difference solution of MHD flow past an impulsively started vertical infinite plate in an electrically conducting fluid has been presented on taking into account the viscous dissipative heat. Results for velocity and temperature are shown graphically whereas the numerical values of the skin-friction and the rate of heat transfer are entered in the table. The results are discussed in terms of the parameters M (the Hartmann number), G (the Grashof number, G>0, cooling of the plate by free convection, G<0, heating of the plate by free convection currents), E (the Eckert number) and P (the Prandtl number).

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Abbreviations

B 0 :

applied magnetic field

c p :

specific heat at constant pressure

g :

acceleration due to gravity

k :

thermal conductivity

t′ :

time

T′ :

temperature of the fluid near the plate

T ′∞ :

temperature of the fluid far away from the plate

U 0 :

velocity of the plate

u′ :

velocity of the fluid

β :

coefficient of volume expansion

ν :

kinematic viscosity

σ :

scalar electrical conductivity

μ :

coefficient of viscosity

ϱ :

density of the fluid

References

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Authors and Affiliations

  1. 31A/12, Brindavan Society, 400-601, Thane, India

    V. M. Soundalgekar

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  1. V. M. Soundalgekar
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Soundalgekar, V.M. Finite-difference analysis of MHD Stokes problem for a vertical infinite plate in dissipative fluid. Applied Scientific Research 45, 153–161 (1988). https://doi.org/10.1007/BF00386210

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  • DOI: https://doi.org/10.1007/BF00386210

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