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In the paper the results of study in heat transfer capacity of the themosyphon mock-up which is considered as an intermediate circuit of the reactor under design, are presented. The mock-up design, the test rig and the experimental results are described. It is shown that the simplest mathematical model describes the processes of power transfer by the thermosyphon under certain conditions.

The results of mathematical modeling convection of lithospheric plate in a subduction zone are given. Driven lithospheric plate collides with a continental plate and is immersed in mantle. The gravitational acceleration changed under the linear law. As a result of the numerical decision of a task the fields of temperature, velocity, stream function, vortex and local Nusselt number at the upper and lower border of calculating area were received.

The results of numerical simulation of unsteady heat transfer of an electrically conductive liquid in a spherical layer modeling the Earth’s liquid core are presented. The evolution of the structure of the flow of an electrically conductive fluid, the temperature field, magnetic induction, and the distribution of local Nusselt numbers is studied. The gravitational acceleration vector is directed along the radius to the center of the spherical layer.

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.