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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Abstract
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.
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| Item Type: | Conference or Workshop Item (Commonwealth Reporting Category E) (Paper) |
|---|---|
| Refereed: | Yes |
| Item Status: | Live Archive |
| Additional Information: | No evidence of copyright restricitons on web site, for Author version. |
| Faculty/School / Institute/Centre: | Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013) |
| Faculty/School / Institute/Centre: | Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013) |
| Date Deposited: | 01 Jan 2010 05:31 |
| Last Modified: | 02 Jul 2013 23:06 |
| Uncontrolled Keywords: | piezo-viscous fluid, Poiseuille flow |
| Fields of Research (2008): | 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics |
| Fields of Research (2020): | 40 ENGINEERING > 4012 Fluid mechanics and thermal engineering > 401207 Fundamental and theoretical fluid dynamics |
| Socio-Economic Objectives (2008): | E Expanding Knowledge > 97 Expanding Knowledge > 970102 Expanding Knowledge in the Physical Sciences E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences |
| URI: | http://eprints.usq.edu.au/id/eprint/4373 |
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