Microscopic formulation of two-phase flows

Abstract

The equations governing a two-phase flow at the microscopic level are presented. By microscopic level, we mean that no averaging operation is done. The equations at the microscopic level are local and instantaneous equations. We begin by presenting the topological equation, followed by the mass, momentum and energy balance equations. The entropy equation is also presented is order to examine the consequences of the second law of thermodynamics. We end this chapter by deriving the equations which will be useful for the derivation of the two-fluid models in Chap. 3. The balance equations governing a whole fluid particle (i.e. a bubble or a droplet) are also given for completeness.