Abstract: The results of numerical simulation of unsteady heat transfer and magneto hydrodynamics of an electrically conductive
liquid in a spherical layer are presented. The influence of internal sources / sinks of heat and the thickness of a spherical layer on the
structure of the fluid flow, the field of temperature, magnetic induction, and the distribution of Nusselt numbers, taking into account
the dissipation of Joule heat during heat removal from the outer sphere, have been investigated.
Index terms: mathematical modeling, unsteady heat transfer, magneto hydrodynamics, internal heat sources, dissipation of Joule heat, spherical layer.