Heat transfer and magnetic hydrodynamics of liquid in a spherical layer. Part 2

Abstract

Background. The purpose of the work is the numerical modeling of unsteady convective heat exchange of an electrically conductive fluid between two concentric spheres, taking into account the dissipation of Joule heat, viscous, inertial, lifting and magnetic forces at low values of the magnetic Reynolds number. Materials and methods. Foe solving the problem, the finite element method is used. In a dimensionless form, the problem in the variables vortex, stream function, temperature and magnetic induction is solved in a spherical coordinate system, taking into account symmetry in longitude. Results. Nonstationary temperature fields, a stream function field, a vortex field, fields of the radial and azimuthal components of magnetic induction and the distribution of local Nusselt numbers in a spherical layer of an electrically conductive liquid for small values of the magnetic Reynolds number were obtained. Conclusions. The results obtained in the work can be applied in the study of magnetohydrodynamic and thermal processes and their application for the development of new installations and instruments, the creation of new methods and models, and expanding the understanding of the nature of the occurrence of magnetohydrodynamic phenomena taking into account heat and mass transfer processes.

Keywords

• magnetic hydrodynamics
• heat transfer
• electrically conductive fluid
• spherical layer
• reynolds number