dc.contributor.author |
Le Roux, Christiaan
|
|
dc.contributor.author |
Rajagopal, Kumbakonam R.
|
|
dc.date.accessioned |
2013-09-25T06:12:43Z |
|
dc.date.available |
2013-09-25T06:12:43Z |
|
dc.date.issued |
2013-02 |
|
dc.description.abstract |
We consider the flow of a class of incompressible fluids which are constitutively
defined by the symmetric part of the velocity gradient being a function, which can be nonmonotone,
of the deviator of the stress tensor. These models are generalizations of the
stress power-law models introduced and studied by J. Málek, V. Pr°uša, K.R. Rajagopal :
Generalizations of the Navier-Stokes fluid from a new perspective. Int. J. Eng. Sci. 48
(2010), 1907–1924. We discuss a potential application of the new models and then consider
some simple boundary-value problems, namely steady planar Couette and Poiseuille flows
with no-slip and slip boundary conditions. We show that these problems can have more
than one solution and that the multiplicity of the solutions depends on the values of the
model parameters as well as the choice of boundary conditions. |
en_US |
dc.description.librarian |
hb2013 |
en_US |
dc.description.sponsorship |
K.R. Rajagopal thanks the National Science Foundation |
en_US |
dc.description.uri |
http://link.springer.com/journal/10492 |
en_US |
dc.identifier.citation |
Le Roux, C & Rajagopal, KR 2013, 'Shear flows of a new class of power-law fluids', Applications of Mathematics, vol. 58, no. 2, pp. 153-177. |
en_US |
dc.identifier.issn |
0862-7940 (print) |
|
dc.identifier.issn |
1572-9109 (online) |
|
dc.identifier.other |
10.1007/s10492-013-0008-4 |
|
dc.identifier.uri |
http://hdl.handle.net/2263/31786 |
|
dc.language.iso |
en |
en_US |
dc.publisher |
Springer |
en_US |
dc.rights |
© Springer-Verlag 2013. The original publication is available at http://link.springer.com/journal/10492 |
en_US |
dc.subject |
Non-Newtonion fluid |
en_US |
dc.subject |
Couette flow |
en_US |
dc.subject |
Poiseuille flow |
en_US |
dc.subject |
Slip boundery condition |
en_US |
dc.title |
Shear flows of a new class of power-law fluids |
en_US |
dc.type |
Postprint Article |
en_US |