Damping of acoustic waves in dilute polymer solutions
Yoav Tsori, Pierre-Gilles de Gennes
Abstract
The shear viscosity etas(w) of dilute polymer solutions (of flexible coils) has been classically measured and interpreted in terms of the Zimm modes. We point out that the longitudinal viscosity etal(w) is the sum of two components etal=4*etas/3+etap, where etap is due to an effect of pressure on the coil size. We discuss etap for a crude model involving a dependence of both the Kuhn length a and the Flory parameter chi on pressure. We find that etap is comparable to etas for good solvent conditions, but that etap should dominate over etas near the theta point.
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