Abstract
The Curtiss, Bird, and Hassager (CBH) theory of dilute macromolecular solutions [Adv. Chem. Phys. 35, 31 (1976)] uses an assumption of equilibration in momentum space as a principal simplifying approximation. Whereas, CBH assume each internal momentum of a polymer molecule to be normally distributed about a zero average value, the present work generalizes the treatment to allow nonzero configuration dependent average momenta. For rigid dumbbells, the usual rotational diffusion equation is replaced by three coupled nonlinear differential equations which simultaneously determine the average internal momenta and the configurational distribution function. Exact solutions of this set of nonlinear equations are obtained for irrotational and pure vortex flows.
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