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

Magdy A. Ezzat

Journal of Applied Mathematics, 2004, vol. 2004, 1-22

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.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:198910

DOI: 10.1155/S1110757X04403088

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