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Hydromagnetic laminar flow of a conducting fluid in an annulus in presence of a radial magnetic field

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Czechoslovak Journal of Physics B Aims and scope

Abstract

The object of the present paper is to study the MHD effects on the laminar flow of a viscous, incompressible and conducting fluid in an annulus with arbitrary time-varying pressure gradient and arbitrary initial velocity in presence of a radial magnetic field. Using finite Hankel transform, solutions for both the unsteady and steady flows under different prescribed pressure gradients have been found out.

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Abbreviations

H :

a constant characterising the intensity of the magnetic field

p :

hydrostatic pressure

Μ e :

magnetic permeability

Μ :

coefficient of viscosity

Ν :

kinematic coefficient of voscosity

σ :

conductivity of the medium

ϱ :

density

a :

radius of the inner cylinder

b :

radius of the outer cylinder

λ :

parameter

s :

positive root

J λ(sr):

Bessel's function of first kind of ordergl

Y λ(sr):

Bessel's function of second kind of orderλ

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Authors and Affiliations

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

    P. R. Sengupta

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

    S. K. Ghosh

Authors
  1. P. R. Sengupta
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  2. S. K. Ghosh
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Sengupta, P.R., Ghosh, S.K. Hydromagnetic laminar flow of a conducting fluid in an annulus in presence of a radial magnetic field. Czech J Phys 27, 430–434 (1977). https://doi.org/10.1007/BF01596734

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  • DOI: https://doi.org/10.1007/BF01596734

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