Extension of the theory of multicomponent molecular fluid transport phenomena

We have shown recently that there is a need to extend the theory of molecular fluid transport phenomena, since the classic theories of Chapman-Enskog, Hirschfelder et al., and Bearman-Kirkwood are only applicable in the limited situation of virtual absence of shearing forces. For dilute, monatomic gases, we have made such an extension through a new solution to the Boltzmann equation. In the proposed research we intend to derive new solutions for polyatomic gases, dense gases and liquids, on the basis of statistical mechanics with the Boltzmann and Liouville equations. Core in our novel approach is the difference in averaged velocities for each species, which is used as a basis for trial functions, contrary to the classic approach where the mass-averaged velocity was used. Attention will be paid to the formulation of slip boundary conditions for mixtures. Also we found that the transport theory from irreversible thermodynamics as formulated by De Groot and Mazur, has inconsistencies. When time allows, we intend to investigate whether a reconciliation with the new theory from statistical mechanics is possible. Also, when time allows, we intend to investigate combination of the new theory with adsorption or reaction at walls.