A micromechanical investigation of interfacial transport processes. I. Interfacial conservation equations
Gretchen M. Mavrovouniotis, Howard Brenner · Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences · 1993
Abstract Macroscale interfacial conservation equations are derived for transport processes occurring in immiscible fluid—fluid systems possessing moving and deforming interfaces via a rigorous matched asymptotic expansion scheme from the more exact, continuous (‘diffuse’) microscale equations underlying them . A surface-fixed coordinate system is developed for the parameterization of the interface, alleviating approximations which result when either a material or a space-fixed control volume is used to investigate systems undergoing interphase mass transfer.