Free convection flow of conducting micropolar fluid with thermal relaxation including heat sources. (English) Zbl 1121.76069

Ezzat, Magdy A.

J. Appl. Math. 2004, No. 4, 271-292 (2004).

Summary: 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.

MSC:

76W05	Magnetohydrodynamics and electrohydrodynamics
76R10	Free convection
76A05	Non-Newtonian fluids
80A20	Heat and mass transfer, heat flow (MSC2010)