Stability of plane Poiseuille flow of a fluid with pressure-dependent viscosity

Paper

Tran, Thien Duc and Suslov, Sergey A.. 2008. "Stability of plane Poiseuille flow of a fluid with pressure-dependent viscosity ." Denier, J., Finn, M. D. and Mattner, T. (ed.) 22nd International Congress of Theoretical and Applied Mechanics ICTAM 2008. Adelaide, Australia 24 - 29 Aug 2008 Adelaide, Australia.
Paper/Presentation Title

Stability of plane Poiseuille flow of a fluid with pressure-dependent viscosity

Presentation TypePaper
AuthorsTran, Thien Duc (Author) and Suslov, Sergey A. (Author)
EditorsDenier, J., Finn, M. D. and Mattner, T.
Journal or Proceedings TitleProceedings of the XXII International Congress of Theoretical and Applied Mechanics
Number of Pages2
Year2008
Place of PublicationAdelaide, Australia
ISBN9780980514209
Web Address (URL) of Paperhttp://ictam2008.adelaide.edu.au/
Conference/Event22nd International Congress of Theoretical and Applied Mechanics ICTAM 2008
Event Details
22nd International Congress of Theoretical and Applied Mechanics ICTAM 2008
Event Date
24 to end of 29 Aug 2008
Event Location
Adelaide, Australia
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.

Keywordspiezo-viscous fluid, Poiseuille flow
ANZSRC Field of Research 2020401207. Fundamental and theoretical fluid dynamics
Public Notes

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Byline AffiliationsComputational Engineering and Science Research Centre
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