Phenomenological theory of transport processes in disperse systems

Abstract

Disperse materials are studied on the model ofN-component isotropic micro-polar mixture, which is confined by the semipermeable walls. These walls are permeable for the components representing the dispersed substances and impermeable for the components corresponding to the base of the system. The series of phenomenological equations is derived for the model and all phenomenological coefficients are interpreted. Semipermeability of the walls appeares in these equations associated with the new thermodynamical force (coupled with a mass flux), which equals the gradient of specific kinetic and rotational energy. Phenomenological equations are used for the study of the convective mass flux and for the derivation of the generalized Navier-Stokes and Hooke's laws for isotropic and gyrotropic micro-polar medium (i.e. medium with microrotations).