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An electromagnetic free convection flow of a micropolar fluid with relaxation time

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Abstract

In the present investigation, we study the influence of a transverse magnetic field on the one-dimensional motion of an electrically conducting micropolar fluid through a porous medium. Laplace transform techniques are used to derive the solution in the Laplace transform domain. The inversion process is carried out using a numerical method based on Fourier series expansions.

Numerical computations for the temperature, the microrotation and the velocity distributions as well as for the induced magnetic and electric fields are carried out and represented graphically.

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Abbreviations

tρ:

density of the fluid

u + :

velocity component in thex + direction

t + :

time

g:

acceleration due to gravity

β:

thermal expansion coefficient

T + :

temperature distribution

T +∞ :

temperature of the fluid away from the plate

T +ω :

mean temperature of the plate

μ:

absolute viscosity

μ * :

vortex viscosity

y + :

coordinate

N + :

microrotation

α :

Alfven velocity

H 0 :

strength of a constant magnetic field

h + :

induced magnetic field

∈ +0 :

electric permeability

E + :

induced electric field

K + :

permeability of the porous medium

ν m :

magnetic diffusivity

σ +0 :

electric conductivity

μ +0 :

magnetic permeability

j:

micro-inertia density

γ:

spin-gradient viscosity

λ + :

thermal conductivity

cp :

specific heat at constant pressure

τ +0 :

thermal relaxation time

R:

micropolar parameter, μ* /μ

λ:

dimensionless material parameter

σ:

dimensionless material parameter

P r :

Prandtl number

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Education, University of Alexandria, Egypt

    M. Zakaria

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  1. M. Zakaria
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Correspondence to M. Zakaria.

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Zakaria, M. An electromagnetic free convection flow of a micropolar fluid with relaxation time. Korean J. Comput. & Appl. Math. 8, 447–458 (2001). https://doi.org/10.1007/BF02941978

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  • DOI: https://doi.org/10.1007/BF02941978

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