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

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.


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