A Theory of Fluid Mixtures with Dynamic Interaction : 1. Basic Equations in Conservative Cases

抄録

Basic theoretical consideration is made on the dynamics of fluid mixtures in which dynamic interaction among the component fluids is significant. The expression for kinetic energy of the fluid mixtures is assumed to be a general quadratic form of the velocities of the component fluids. The conjugate momenta are defined and the equations of motion are obtained as stating the evolution of the conjugate momenta. The method of derivation is based only on the most dependable principles, i.e., the conservations of energy and masses as well as the invariance with respect to Galilei transformation. The constitutive equations are given for cases with no energy dissipation.