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 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 when heat is supplied to the outer sphere, are investigated.
Index terms: mathematical modeling, unsteady heat transfer, magneto hydrodynamics, internal heat sources, dissipation of Joule heat, spherical layer.