Hyperbolicity and change of type in flows of FENE-P fluids

Purnode, B.;Legat, Vincent
(1996) Journal of Non-Newtonian Fluid Mechanics — Vol. 65, n° 1, p. 111-129 (1996)

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Abstract
In 1986, Dupret and Marchal (J. Mel. Theor. Appl., 5 (1986) 403) determined two tensorial conditions in order to analyze the loss of evolution and the change of type for Maxwell fluid flows. We perform here a quasi-linear analysis of the characteristics in flows of FENE-P fluids. Mathematical and easily computable conditions have been derived and can be used as criteria in complex flows. A similar result is also available for the Chilcott-Rallison model. The change of type is analyzed for flows through an abrupt contraction. Numerical results show that the vortex enhancement mechanism may be coupled with the change of type. A numerical simulation of the tree-like jet flow has also been performed.
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Purnode, B., & Legat, V. (1996). Hyperbolicity and change of type in flows of FENE-P fluids. Journal of Non-Newtonian Fluid Mechanics, 65(1), 111-129. https://doi.org/10.1016/0377-0257(96)01449-8 (Original work published 1996)