Transport phenomena and conservation equations in multicomponent chemically-reactive ideal gas mixtures

摘要

The symmetric forms of the conservation equations for mass, energy, and momentum in reactive ideal gas mixtures are presented. A modified form of the continuity equation is introduced which accounts for possible diffusion of mass under the gradient of density in simple fluids, similar to the Smoluchowski equation describing the Brownian motion of small particles suspended in a fluid subject to an external force. An intermediate statistical field called cluster-dynamics is postulated and the statistically-stationary nature of the Brownian motions of small suspensions in stationary fluids is attributed to the fact that the suspensions are in equilibrium with molecular-clusters, that themselves possess Brownian motions.