Journal of Applied Mathematics
Volume 2004 (2004), Issue 4, Pages 271-292
doi:10.1155/S1110757X04403088
Free convection flow of conducting micropolar fluid with thermal relaxation including heat sources
Department of Mathematics, Faculty of Education, Alexandria University, Alexandria El-Shatby 21625, Egypt
Received 24 March 2004; Revised 2 May 2004
Copyright © 2004 Magdy A. Ezzat. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The present work is concerned with unsteady free convection flow
of an incompressible electrically conducting micropolar fluid,
bounded by an infinite vertical plane surface of constant
temperature. A uniform magnetic field acts perpendicularly to the
plane. The state space technique is adopted for the
one-dimensional problems including heat sources with one
relaxation time. The resulting formulation is applied to a
problem for the whole space with a plane distribution of heat
sources. The reflection method together with the solution
obtained for the whole space is applied to a semispace problem
with a plane distribution of heat sources located inside the
fluid. The inversion of the Laplace transforms is carried out
using a numerical approach. Numerical results for the
temperature, the velocity, and the angular velocity distributions
are given and illustrated graphically for the problems considered.