Journal of Applied Mathematics
Volume 2004 (2004), Issue 4, Pages 271-292

Free convection flow of conducting micropolar fluid with thermal relaxation including heat sources

Magdy A. Ezzat

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.


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.