Abstract: The results of numerical simulation of unsteady convective heat transfer and magneto hydrodynamics of an
electrically conductive fluid in a spherical layer are presented. The influence of the magnetic Reynolds number on the evolution of
the structure of the fluid flow, the temperature field, magnetic induction, and the distribution of the Nusselt numbers is investigated.
Index terms: mathematical modeling, unsteady heat transfer, magneto hydrodynamics, magnetic Reynolds number, spherical layer.