Second law of thermodynamics in volume diffusion hydrodynamics in multicomponent gas mixtures

We presented the thermodynamic structure of a new continuum flow model for multicomponent gas mixtures. The continuum model is based on a volume diffusion concept involving specific species. It is independent of the observer's reference frame and enables a straightforward tracking of a selected species within a mixture composed of a large number of constituents. A method to derive the second law and constitutive equations accompanying the model is presented. Using the configuration of a rotating fluid we illustrated an example of non-classical flow physics predicted by new contributions in the entropy and constitutive equations. -- Highlights: ► A thermodynamic structure is presented for a new continuum flow model in multicomponent gas mixtures. ► A derivation method to obtain constitutive equations is presented. ► A configuration of a rotating gas is used to illustrate the role of new contributions in the structure of the entropy equation.