Convective Nonlinearity in Non-Newtonian Fluids

Hubert Temmen; Harald Pleiner; Mario Liu; Helmut R. Brand

doi:10.1103/PhysRevLett.84.3228

Convective Nonlinearity in Non-Newtonian Fluids

Hubert Temmen, Harald Pleiner, Mario Liu, and Helmut R. Brand

Phys. Rev. Lett. 84, 3228 – Published 10 April 2000

Abstract

In the limit of infinite yield time for stresses, the hydrodynamic equations for viscoelastic, non-Newtonian liquids such as polymer melts must reduce to that for solids. This piece of information suffices to uniquely determine the nonlinear convective derivative, an ongoing point of contention in the rheology literature.

Received 1 June 1999

DOI:https://doi.org/10.1103/PhysRevLett.84.3228

Authors & Affiliations

Hubert Temmen¹, Harald Pleiner², Mario Liu³, and Helmut R. Brand⁴

¹EMA, Universität der Bundeswehr Hamburg, Holstenhofweg 85, 22043 Hamburg, Germany
²Max-Planck-Institut für Polymerforschung, Postfach 3148, 55021 Mainz, Germany
³Institut für Theoretische Physik, Universität Hannover, 30167 Hannover, Germany
⁴Theoretische Physik III, Universität Bayreuth, 95440 Bayreuth, Germany