Generalized Continuum Phenomenological Model of Viscous Fluid: Analysis of Local Mass Displacements

Abstract

The concept of local mass displacements (as a measure of nonlocality of the state of a physically small element of a body) is used to formulate a complete system of relations of the gradient-type mathematical model of viscous compressible fluid. In this model, the relationship between the thermomechanical processes and the process of local mass displacements, its irreversibility, and the inertia properties are taken into account. It is shown that, in the stationary approximation, the obtained system of relations enables us to justify the appearance of wedging pressure in thin interlayers of fluid.