On the classification of some model equations for viscoelasticity

Mitchell Luskin

doi:10.1016/0377-0257(84)85002-8

On the classification of some model equations for viscoelasticity

Mitchell Luskin

School of Mathematics

Research output: Contribution to journal › Article › peer-review

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Abstract

We classify and derive a canonical form for a linearization of the upper convected Maxwell model for steady viscoelastic fluid flow. We show that there are always two families of characteristic curves which follow the streamlines and across which the solution may be discontinuous. If the product of the Weissenberg number and the Reynolds number is greater than one, then two additional families of characteristic curves exist.

Original language	English (US)
Pages (from-to)	3-11
Number of pages	9
Journal	J. NON-NEWTONIAN FLUID MECH.
Volume	16
Issue number	1
DOIs	https://doi.org/10.1016/0377-0257(84)85002-8
State	Published - 1984

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Funding Information:
* Supported by the NSF, Grant MCS-830-1575

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10.1016/0377-0257(84)85002-8

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title = "On the classification of some model equations for viscoelasticity",

abstract = "We classify and derive a canonical form for a linearization of the upper convected Maxwell model for steady viscoelastic fluid flow. We show that there are always two families of characteristic curves which follow the streamlines and across which the solution may be discontinuous. If the product of the Weissenberg number and the Reynolds number is greater than one, then two additional families of characteristic curves exist.",

author = "Mitchell Luskin",

note = "Funding Information: * Supported by the NSF, Grant MCS-830-1575",

year = "1984",

doi = "10.1016/0377-0257(84)85002-8",

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N1 - Funding Information: * Supported by the NSF, Grant MCS-830-1575

PY - 1984

Y1 - 1984

N2 - We classify and derive a canonical form for a linearization of the upper convected Maxwell model for steady viscoelastic fluid flow. We show that there are always two families of characteristic curves which follow the streamlines and across which the solution may be discontinuous. If the product of the Weissenberg number and the Reynolds number is greater than one, then two additional families of characteristic curves exist.

AB - We classify and derive a canonical form for a linearization of the upper convected Maxwell model for steady viscoelastic fluid flow. We show that there are always two families of characteristic curves which follow the streamlines and across which the solution may be discontinuous. If the product of the Weissenberg number and the Reynolds number is greater than one, then two additional families of characteristic curves exist.

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U2 - 10.1016/0377-0257(84)85002-8

DO - 10.1016/0377-0257(84)85002-8

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AN - SCOPUS:0020813287

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JO - J. NON-NEWTONIAN FLUID MECH.

JF - J. NON-NEWTONIAN FLUID MECH.

IS - 1

ER -

On the classification of some model equations for viscoelasticity

Abstract

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