Kinetic theory of dense fluids of rigid biaxial ellipsoids

The transport equation for a one-particle distribution function f of a pure and dense fluid composed of hard biaxial ellipsoids has been derived by th e Enskog method through a modification of the Taxman equation which describ es the corresponding low-density fluid. The equation for f has been utilize d in obtaining approximate equations of continuity, linear momentum, and en ergy of the dense fluid, and has then been solved through the Enskog infini te series expansion technique, and a second-order approximate formula for f has been achieved. Using this, results are derived for the hydrodynamic pr essure, shear and bulk viscosity coefficients, and heat conductivity of the fluid. Fast exchange of energy between the translational and rotational mo tions is assumed throughout the calculation. The quantities ultimately appe aring in the results, which cannot further be reduced analytically and requ ire numerical evaluation, an the four-dimensional quadratures over the orie ntational coordinates of two interacting rigid ellipsoidal molecules. In th e appropriate limit, all results reduce to those obtained by Enskog for a d ense fluid of hard spheres, and a first-order modified Eucken-type formula for the dense fluid emerges.