Magetno hidrodinamička strujanja i prenos toplote u poroznim sredinama

Abstract

The aim of this dissertation is to define mathematical models that describe flow and heat transfer in porous media by generalizing the classical Navier-Stokes model in order to model the influence of porous media properties. Considering the importance of both theoretical and applied research of magnetohydrodynamic (MHD) flow, the dissertation includes the analysis of MHD one-fluid and two-fluidflow and heat transfer within channels containing a porous medium. The first chapter begins with the research overview, followed by the explanation of what motivated the research, the introduction of the subject matter, and the definition of research objectives.The second chapter deals with the mathematical modelling of MHD flow and mass and heat transfer. The third chapter first discusses a case of MHD one-fluid flow and mass and heat transfer in a horizontal porous channel. The fourth chapter considers the flow of two non-mixing fluids in a channel with two horizontal insulated plates serving as walls. The plates are at constant but different temperatures. The fifth chapter considers four different models of MHD flow and mass and heat transfer. The sixth chapter investigates MHD two-fluid flow and heat transfer in a channel inclined in relation to the horizontal plane. The seventh chapter presents numerical simulations conducted using a modern software tool called Ansys CFX. The simulations are provided for two analyzed models. The first one involves a horizontal channel containing a porous medium, while the second one involves an inclined channel containing a porous medium. The distributions of velocity, temperature, and pressure were determined in all chapters, always in closed form.