Transport Properties of Polyatomic Fluids. III. The Transport—Relaxation Equations for a Dilute Gas of Rough Spheres

Abstract

The Boltzmann equation for a dilute gas of rough spheres is linearized and its solution expanded in irreducible tensors constructed from the linear and spin velocities of the spheres. This procedure is patterned closely after Waldmann's development of the kinetic theory for a Lorentz gas of rough spheres. Transport—relaxation equations are derived for the expansion coefficients, i.e., for the moments of the nonequilibrium distribution function. By examining selected subsets of these equations we are able to construct estimates for the transport coefficients and characteristic relaxation times. Relationships are established between these results and the transport coefficients generated by the method of Chapman and Enskog.