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The linear stability of numerical solutions of some elementary viscoelastic flows

โœ Scribed by J.J. Van Schaftingen

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
559 KB
Volume
20
Category
Article
ISSN
0377-0257

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The stability of steady shear flows of s
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The stability of steady shear flows of some viscoelastic fluids relative to small perturbations in the initial data is examined. It is shown that at all values of the steady shear rate where the flow curve exhibits a zero or negative slope the flow is unstable. This conclusion is corroborated by exi

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## Abstract In this paper the correspondence principle is used to reduce the equations of viscoelasticity to the equations of elasticity by means of a Laplace transform. The finite element technique is used to approximate these equations in Laplace transform space. The approximating equations are