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The present work is concerned with unsteady free convection flowof an incompressible electrically conducting micropolar fluid,bounded by an infinite vertical plane surface of constanttemperature. A uniform magnetic field acts perpendicularly to theplane. The state space technique is adopted for theone-dimensional problems including heat sources with onerelaxation time. The resulting formulation is applied to aproblem for the whole space with a plane distribution of heatsources. The reflection method together with the solutionobtained for the whole space is applied to a semispace problemwith a plane distribution of heat sources located inside thefluid. The inversion of the Laplace transforms is carried outusing a numerical approach. Numerical results for thetemperature, the velocity, and the angular velocity distributionsare given and illustrated graphically for the problems considered

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