Dynamics of semiflexible and rigid particles .2. Derivation of the stress tensor and transport equations

In this paper we derive transport equations for a suspension of semiflexible and rigid particles for several cases of interest. The analysis is based on a mesoscopic description introduced in the preceding paper [Phys. Rev. E 54, 3955 (1996)]. The non-Maxwellian contributions to the phase-space probability distribution obtained in the preceding paper give rise to the dissipative fluxes arising in the transport equations for the mass density and the magnetization as particular cases. In addition, a derivation of the contribution of the particles to the stress tensor, where the momentum density of the suspended particles as well as that of the carrier fluid are taken into account, has been developed. An expression for the stress tensor for continuous semiflexible particles with rigid constraints has been found.