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MHD laminar thin-film flow along a vertcal wall

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Czechoslovak Journal of Physics Aims and scope

Abstract

An accelerating magnetohydrodynamic laminar flow of an electrically conducting fluid under the influence of gravity and in presence of transverse magnetic field is investigated in the paper. Using a cubic polynomial for the velocity profile inside the boundary layer, the momentum integral equation is solved numerically by Runge-Kutta method to determine the boundary layer thickness and the corresponding film thickness is then calculated for the entrance region. The effect of magnetic field on these solutions is shown in graphical form.

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Abbreviations

u, v :

local velocity components

p :

pressure

ϱ :

density

Ν :

kinematic viscosity

Μ :

viscosity=Νϱ

σ :

electrical conductivity

g :

acceleration due to gravity

U s (x) :

inviscid core velocity

h(x) :

film thicknes

δ(x) :

boundary layer thickness

M :

Hartmann number

B 0 :

external magnetic field

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Authors and Affiliations

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

    D. C. Sanyal & B. Jash

Authors
  1. D. C. Sanyal
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  2. B. Jash
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Additional information

The authors remain thankful to the referee for some helpful criticisms.

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Sanyal, D.C., Jash, B. MHD laminar thin-film flow along a vertcal wall. Czech J Phys 40, 534–538 (1990). https://doi.org/10.1007/BF01599777

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  • DOI: https://doi.org/10.1007/BF01599777

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