Mathematical models for magnetohydrodynamic-flows in a fusion reactor blanket

Abstract

Abstract Two mathematical models for MHD-flows in a fusion reactor blanket have been considered. The first one describes fully-developed flows. The second governs non-uniform and non-steady-state flows. This model is derived from 3-D Navier-Stokes-Maxwell equations by their integration along the direction of the applied magnetic field. To close the model the numerical solutions calculated for the related fully-developed MHD-flow are used. The effective finite-difference codes based on these models have been worked out which allow calculations in a wide range of flow parameters. As an illustration of the codes applicability, the calculations were carried out for several types of heat transfer promoters. It has been shown that by using the promoters, both the increase in the volumetric flux in the near-wall area and the additional stirring flow can be provided that may result in heat transfer intensification.