A solvable weak-potential model of a non-Newtonian fluid

James C. Rainwater and Siegfried Hess

Physica A: Statistical Mechanics and its Applications, 1983, vol. 118, issue 1, 371-382

Abstract: A theoretical model is developed for a non-Newtonian fluid of spherical molecules interacting with a weak potential. The Kirkwood-Smoluchowski equation for planar Couette flow reduces in leading order in potential strength to a shear-diffusion equation with an inhomogeneous source term. The pressure tensor elements are calculated and, for a Gaussian potential, reduce to one-dimensional integrals which are evaluated numerically. The model reproduces several qualitative features of non-Newtonian liquids and the computer simulations of Evans and Hanley. These features include shear thinning, shear dilatancy, normal pressure differences, and dependence on shear rate to a half-integer power.

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:118:y:1983:i:1:p:371-382

DOI: 10.1016/0378-4371(83)90206-6

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