TY - JOUR
T1 - On the classification of some model equations for viscoelasticity
AU - Luskin, Mitchell
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
M3 - Article
AN - SCOPUS:0020813287
VL - 16
SP - 3
EP - 11
JO - Journal of Non-Newtonian Fluid Mechanics
JF - Journal of Non-Newtonian Fluid Mechanics
SN - 0377-0257
IS - 1
ER -