A LOCAL SUPERPOSED-CONSTITUENT VOLUME-FRACTION MIXTURE THEORY-BASED ON RELATIVE MOTION

This work presents a local formulation of kinematics and balance relat ions for a mixture composed of superposed-constituents as based on the ir motion relative to a model of the mixture as a moving region, with the motion of this region being determined by that of all the constitu ents. The relative motion of each constituent with respect to this mov ing mixture region can be interpreted as its diffusive motion in the m ixture. A number of constituent kinematic properties in the mixture, i n particular the constituent volume density (i.e. the infinitesimal vo lume-fraction) and constituent diffusion velocity, are determined by t he constituent diffusive motion, and arise naturally in a formulation based upon it. In addition, this formulation yields in a natural fashi on an evolution relation for the constituent volume density relative t o the moving mixture region. The consequences of this kinematic model for constituent and mixture local balance relations, as well as the su m relations, are investigated in the last part of the work.