Istraživanja magnetno hidrodinamičkih strujanja i prenosa toplote mikropolarnih fluida

Abstract

The basis of the doctoral thesis is the analysis of flow and heat transfer of one or two electrically conducting micropolar fluids in the presence of magnetic and electric fields. The first part of the dissertation is the development of mathematical models for described problems of MHD flow and heat transfer of micropolar fluid, where the research is conducted in inductionless approximation and for the case of coupled equations. After that, in the next chapters, the problem of walls conductivity of the channel is considered, also the effects of induced magnetic field and interface boundary conditions for the flow of two fluids. Special attention is paid to the flow of two fluids between inclined plates where one fluid is micropolar and the other one is Newtonian. Analytical solutions are given for momentum, microrotation, energy and magnetic induction equations for the problems of MHD flow of one and two fluids. Next part of the dissertation has a detailed analysis of physical phenomena that occur in MHD and EMHD flow of micropolar fluids, and comparison of analytical solutions obtained in closed form with the results obtained by numerical simulations. Using the numerical simulations the case of the flow of micropolar fluid in the horizontal and vertical channels under the influence of magnetic and electric fields are solved. At the end, within the dissertation detailed analysis of results are given for micropolar fluids, which is significant in the technical practices, for different values characteristic dimensionless numbers that describes MHD and EMHD problems of flow and heat transfer of micropolar fluids. Special attention is also given to the applicability of the research in the development of new technologies.