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