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

Article


Suslov, Sergey A. and Tran, Thien Duc. 2008. "Revisiting plane Couette-Poiseuille flows of a piezo-viscous fluid." Journal of Non-Newtonian Fluid Mechanics. 154 (2-3), pp. 170-178. https://doi.org/10.1016/j.jnnfm.2008.04.010.
Article Title

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

ERA Journal ID5148
Article CategoryArticle
AuthorsSuslov, Sergey A. (Author) and Tran, Thien Duc (Author)
Journal TitleJournal of Non-Newtonian Fluid Mechanics
Journal Citation154 (2-3), pp. 170-178
Number of Pages9
Year2008
Place of PublicationNetherlands
ISSN0377-0257
1873-2631
Digital Object Identifier (DOI)https://doi.org/10.1016/j.jnnfm.2008.04.010.
Web Address (URL)http://www.sciencedirect.com/science/journal/03770257
Abstract

We re-examine fully developed isothermal unidirectional plane Couette-Poiseuille flows of an incompressible fluid whose viscosity depends linearly on the pressure as previously considered in Hron et al 2001. We show that the conclusion made there that, in contrast to Newtonian and power-law fluids, piezo-viscous fluids allow multiple solutions is not justified, and that the inflection velocity profiles reported in Hron et al 2001 cannot exist. Subsequently, we undertake a systematic parametric study of these flows and identify three distinct families of solutions which can exist in the considered geometry. One of these families has no similar counterpart for fluids with pressure-independent viscosity. We also show that the critical wall speed exists beyond which Poiseuille-type flows are impossible regardless of the magnitude of the applied pressure gradient. For smaller wall speeds channel choking occurs for Poiseuille-type flows at large pressure gradients. These features distinguish drastically piezo-viscous fluids from their Newtonian and power-law counterparts.

Keywordspressure-dependent viscosity; piezo-viscous fluid; plane Couette-Poiseuille flow
ANZSRC Field of Research 2020401207. Fundamental and theoretical fluid dynamics
401299. Fluid mechanics and thermal engineering not elsewhere classified
490109. Theoretical and applied mechanics
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Byline AffiliationsComputational Engineering and Science Research Centre
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