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Steady hydromagnetic flow between two porous concentric circular cylinders

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Czechoslovak Journal of Physics B Aims and scope

Abstract

The problem considered here is to study the MHD effects on the steady flow of an incompressibe viscous conducting fluid through two concentric porous non-conducting infinite circular cylinders, rotating in various ways with uniform angular velocities in presence of a radial magnetic field. It is supposed that the rate of suction at the inner cylinder is equal to the rate of injection at the outer.

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Abbreviations

H :

magnetic field vector

B 0 :

magnetic induction vector

p :

pressure

μ e :

magnetic permeability

ϱ :

density

μ :

co-efficient of viscosity

v :

kinematic co-efficient of viscosity

σ :

conductivity of the medium

S :

suction parameter

Ω 1 :

uniform angular velocity of the inner cylinder

Ω 2 :

uniform angular velocity of the outer cylinder

ω :

parameter due to magnetic field,ω 2=σB 20 /μ

m :

constant

n :

parametern 2 =m 2+ω2

a, b :

radii of the co-axial cylinders

A, B :

constants for n ≠ 0

A 0,B 0 :

constants forn=0

References

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Kalyani, Nadia, Kalyani, West Bengal, India

    P. R. Sengupta

  2. River Research Institute (W. Bengal), Mohonpur, Nadia, West Bengal, India

    S. K. Ghosh

Authors
  1. P. R. Sengupta
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  2. S. K. Ghosh
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Additional information

We offer our grateful thanks to Dr. J. KVASN~CA for his kind suggestions for the improvement of this paper.

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Sengupta, P.R., Ghosh, S.K. Steady hydromagnetic flow between two porous concentric circular cylinders. Czech J Phys 25, 514–520 (1975). https://doi.org/10.1007/BF01589424

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  • DOI: https://doi.org/10.1007/BF01589424

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