ABSTRACT

In materials engineering problems the subject of transport phenomena is mainly concerned with the prediction of temperature, concentration and fluid velocity fields within a melt or a solid medium. In order to model the problems mathematically, we need to set up a series of governing equations and appropriate initial and boundary conditions, which describe the physical phenomena in materials processing. The governing equations can be derived based on the two sets of equations: balance equations and rate equations. One of the governing differential equations of momentum transfer can be solved using the appropriate initial or boundary conditions, or both, to describe the fluid flow phenomena. The chapter discusses the integral form of mass balance equation for a single component medium.