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Effects of hall current on the hydromagnetic free convection with mass transfer in a rotating fluid

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Abstract

An exact analysis of Hall current on hydromagnetic free convection with mass transfer in a conducting liquid past an infinite vertical porous plate in a rotating fluid has been presented. Exact solution for the velocity field has been obtained and the effects ofm (Hall parameter),E (Ekman number), andS c (Schmidt number) on the velocity field have been discussed.

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Abbreviations

C :

species concentration

C w :

concentration at the porous plate

C ∞ :

species concentration at infinity

C p :

specific heat at constant pressure

D :

chemical molecular diffusivity

g :

acceleration due to gravity

E :

Ekman number

G :

Grashof number

H 0 :

applied magnetic field

j x, jy, jz :

components of the current densityJ

k :

thermal conductivity

M :

Hartman number

m :

Hall parameter

P :

Prandtl number

Q :

heat flux per unit area

S c :

Sehmidt number

T :

temperature of the fluid near the plate

T w :

temperature of the plate

T ∞ :

temperature of the fluid in the free-stream

u, v, w :

components of the velocity fieldq,

U ∞ :

uniform free stream velocity

w 0 :

suction velocity

x, y, z :

Cartesian coordinates

Z :

dimensionless coordinate normal to the plate.

β:

coefficient of volume expansion

β* :

coefficient of expansion with concentration

ωe :

cyclotron frequency

θ:

dimensionless temperature

θ* :

dimensionless concentration

v :

kinematic viscosity

ϱ:

density of the fluid in the boundary layer

μ:

coefficient of viscosity

μe :

magnetic permeability

Ω:

angular velocity

σ:

electrical conductivity of the fluid

τe :

electron collision time

τu :

skin-friction in the direction ofu

τv :

skin-friction in the direction ofv

References

  • Batchelor, G. K.: 1970,An Introduction to Fluid Dynamics, Cambridge Univ. Press, Cambridge.

    Google Scholar 

  • Gupta, A. S.: 1972,Acta Mech. 13, 155.

    Google Scholar 

  • Mazumder, B. S., Gupta, A. S., and Datta, N.: 1976,Int. J. Heat Pass Trans. 19, 523.

    Google Scholar 

  • Meyer, R. C.: 1958,J. Aerospace Sci. 25, 561.

    Google Scholar 

  • Raptis, A. A. and Perdikis, C. P.: 1982,Astrophys. Space. Sci. 84, 457.

    Google Scholar 

  • Soundalgekar, V. M. and Pop, I.: 1979,Acta Phys. Hung. 47, 313.

    Google Scholar 

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Authors and Affiliations

  1. Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India

    H. L. Agrawal, P. C. Ram & V. Singh

Authors
  1. H. L. Agrawal
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  2. P. C. Ram
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  3. V. Singh
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Agrawal, H.L., Ram, P.C. & Singh, V. Effects of hall current on the hydromagnetic free convection with mass transfer in a rotating fluid. Astrophys Space Sci 100, 279–286 (1984). https://doi.org/10.1007/BF00651602

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  • DOI: https://doi.org/10.1007/BF00651602

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