Kinetic Theory of Nonspherical Molecules. II

Abstract

In the kinetic theory of rigid nonspherical molecules, discussed previously, the transport coefficients were expressed in terms of certain multi‐dimensional integrals, the brace expressions. In the present discussion these integrals are considered in detail. The integrations over the linear and angular velocities are carried out explicitly and the problem is further reduced to an integral of geometrical parameters over the surfaces of two bodies. The resulting expressions for the transport coefficients apply to any rigid nonspherical convex body in which the center of mass is a center of symmetry. As an example, the final integrations are carried out explicitly for the spherocylindrical model. The shear viscosity, the bulk viscosity, and the thermal conductivity, for this model are presented as functions of two parameters characteristic of the shape and mass distribution of the molecule.