Viscosity of Polymer Solutions

摘要

In the expression for the viscosity of polymer solutionseegr;equals;eegr;0plus;lsqb;eegr;rsqb;Cplus;Klsqb;eegr;rsqb;2C2plus;middot;middot;middot;, the Huggins constantKis calculated for hard spheres and for interpenetrable spheres of uniform segment density. For hard spheresK= 0.6909, and for soft spheres whereKis larger, the dependence ofKon the segmentmdash;segment interaction constant is given. Difficulties in the basic theory caused by the long range of hydrodynamic perturbations are resolved. The theory is approximate, in that the velocity field arising from Sphere 1 is assumed to vary slowly in the vicinity of 2, but within this approximation all orders of ``reflections'' are correctly summed.