An analytical approach to Heat Transfer in Single and Multiphase Systems

Abstract

This paper deals main physical processes arising during phase change have been investigated. The heat exchange within a single phase, many engineering technologies involve multiphase systems. Hence the problems dealing with phase change is the movement of phase interface with the release with the absorption of latent heat at this interface. The problems are highly nonlinear and thermophysical properties are typically different on each side of the phase interface.  Therefore, analytical solutions are available only for a limited class of one-dimensional problems- pure materials or fluids in infinite or semi-infinite domains.  In the present paper we demonstrate phase change heat transfer in pure liquids and materials as well as multicomponent systems. The multiphase systems have (i.e., solid, liquid, or gas phase) including one or more components. Although the governing equations vary for each type of multiphase system (i.e solid-liquid, liquid-gas, etc.,), the overall features of the physical and mathematical models are analogous. Theses continuum models are based on a mixture formulation or an interface tracking formulation. In the mixture approach, the control volume consists of a homogeneous mixture encompassing both (or all) phases. Mixture of interface tracking formulations are demonstrated in this studies. Key words: Interface tracking, multi-phase flow, phase interface, interfacial energy balance, scalar transport, entropy, two fluid modeling