Tran, Thien Duc and Suslov, Sergey A. (2008) Stability of plane Poiseuille flow of a fluid with pressure-dependent viscosity. In: XXII International Congress of Theoretical and Applied Mechanics ICTAM 2008, 24-29 Aug 2008, Adelaide, Australia.
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We study the linear stability of a plane Poiseuille flow of an incompressible fluid whose viscosity depends linearly on the pressure. It is shown that the local critical Reynolds number is a sensitive function of the applied pressure gradient and that it decreases along the channel. While in the limit of small pressure gradients conventional results for a pressure-independent Newtonian fluid are recovered, a significant stabilisation of the flow and an elongation of the critical disturbance wavelength are observed when the longitudinal pressure gradient is increased. These features drastically distinguish the stability characteristics of a piezo-viscous flow from its pressure-independent Newtonian counterpart.
|Item Type:||Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)|
|Additional Information:||No evidence of copyright restricitons on web site, for Author version.|
|Uncontrolled Keywords:||piezo-viscous fluid, Poiseuille flow|
|Subjects:||240000 Physical Sciences > 240500 Classical Physics > 240502 Fluid Physics|
|Depositing User:||Dr Sergey Suslov|
|Date Deposited:||01 Jan 2010 05:31|
|Last Modified:||02 Jul 2013 23:06|
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