The results of numerical simulation of unsteady convective heat transfer of an electrically conductive liquid in a spherical layer (modeling the Earth’s liquid core) under boundary conditions for a temperature of the first kind and in the presence of internal (negative) heat sinks are presented. The effect of internal heat sinks on the evolution of the structure of a liquid flow, temperature field, magnetic induction, and the distribution of Nusselt numbers in a strong magnetic field is investigated.