Slippage and Migration in Taylor-Couette Flow of a Model for Dilute Wormlike Micellar Solutions
Name
05-P-06.pdf
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334.23 KB
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Checksum (MD5)
32afc4e2451ae5fa3769412e667451a8
Author(s)
Rossi, Louis F.
McKinley, Gareth H.
Cook, L. Pamela
Date Issued
June 9, 2005
Series/Report no.
05-P-06;
Abstract
In this paper we explore a model, most appropriate for dilute or semi-dilute worm-like micellar solutions, in an axisymmetric circular Taylor-Couette geometry. This study is a natural continuation of earlier work on rectilinear shear flows. The model, based on a bead-spring microstructure with nonaffine motion, reproduces the pronounced plateau in the stress strain-rate flow curve as observed in laboratory measurements of steady shearing flows. We also carry out a linear stability analysis of the computed steady state solutions. The results show shear-banding in the form of sharp changes in velocity gradients, spatial variations in number density, and in
alignment or stretching of the micelles. The velocity profiles obtained in numerical
solutions show strong qualitative agreement with those of laboratory experiments.
Description
Submitted to J. Non-Newt Fluid Mechanics, June 2005
Subjects
Mathematical modeling
Inhomogeneous fluids
Dumbbell models with slippage
Wormlike micellar solutions
Taylor-Couette flow
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