Stability of plane Poiseuille-Couette flows of a piezo-viscous fluid

Tran, Thien Duc and Suslov, Sergey A. (2009) Stability of plane Poiseuille-Couette flows of a piezo-viscous fluid. Journal of Non-Newtonian Fluid Mechanics, 156 (3). pp. 139-149. ISSN 0377-0257

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We examine stability of fully developed isothermal unidirectional plane Poiseuille--Couette flows of an incompressible fluid whose viscosity depends linearly on the pressure as previously considered in Hron01 and Suslov08. Stability results for a piezo-viscous fluid are compared with those for a Newtonian fluid with constant viscosity. We show that piezo-viscous effects generally lead to stabilisation of a primary flow when the applied pressure gradient is increased. We also show that the flow becomes less stable as the pressure and therefore the fluid viscosity decrease downstream. These features drastically distinguish flows of a piezo-viscous fluid from those of its constant-viscosity counterpart. At the same time the increase in the boundary velocity results in a flow stabilisation which is similar to that observed in Newtonian fluids with constant viscosity.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Author's version deposited in accordance with the copyright policy of the publisher. Please cite this article in press as: T.D. Tran, S.A. Suslov, Stability of plane Poiseuille–Couette flows of a piezo-viscous fluid, J. Non-Newtonian Fluid Mech. (2008),
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 02 Aug 2009 08:29
Last Modified: 13 Aug 2014 06:36
Uncontrolled Keywords: pressure-dependent viscosity; piezo-viscous fluid; plane Poiseuille-Couette flow; hydrodynamic stability
Fields of Research : 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics
09 Engineering > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics
09 Engineering > 0915 Interdisciplinary Engineering > 091504 Fluidisation and Fluid Mechanics
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Identification Number or DOI: 10.1016/j.jnnfm.2008.07.009

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