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.