Viscoelastic fluid flow exhibiting hysteritic phase changes

In the present paper a mathematical theory is given for a viscoelastic fluid exhibiting a hysteresis loop in the shear stress versus shear rate plane. The main rheological idea is to introduce a constitutive equation of rate type whose steady shear stress versus shear rate locus is nonmonotone. The...

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Bibliographic Details
Published in:The Physics of fluids (1958) 1983-09, Vol.26 (9), p.2345-2351
Main Authors: Hunter, J. K., Slemrod, M.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Non-newtonian fluid flows
Physics
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Summary:In the present paper a mathematical theory is given for a viscoelastic fluid exhibiting a hysteresis loop in the shear stress versus shear rate plane. The main rheological idea is to introduce a constitutive equation of rate type whose steady shear stress versus shear rate locus is nonmonotone. The main mathematical idea is to use a local shock structure theory to pick out the admissible solutions in loading and unloading of the applied driving force.
ISSN:0031-9171
2163-4998
DOI:10.1063/1.864437