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The Dean instability for shear-thinning fluids


Haines, PE and Denier, JP and Bassom, AP, The Dean instability for shear-thinning fluids, Journal of Non-Newtonian Fluid Mechanics, 198 pp. 125-135. ISSN 0377-0257 (2013) [Refereed Article]

DOI: doi:10.1016/j.jnnfm.2013.05.004


We investigate the Dean instability for a generalised Newtonian fluid which satisfies an approximately power-law viscosity model, albeit modified to incorporate a low-shear Newtonian plateau. Infinite aspect ratio linear stability results are presented for both a narrow-gap width and a finite radius of curvature. These results reveal a surprising sensitivity to the details of the low-shear Newtonian region. Finite element solutions of the axisymmetric Navier–Stokes equations for flow through a finite aspect ratio duct confirm this sensitivity and, in addition, demonstrate the potential for hysteresis on the primary branch of vortices. A detailed bifurcation analysis over a range of the aspect ratio reveals that the nonlinear structure of the problem is qualitatively similar to that for a Newtonian fluid despite the apparently quite distinctive behaviour when a comparison is made at a fixed aspect ratio.

Item Details

Item Type:Refereed Article
Keywords:Dean vortices, shear-thinning fluid, bifurcation analysis
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Bassom, AP (Professor Andrew Bassom)
ID Code:105698
Year Published:2013
Web of Science® Times Cited:2
Deposited By:Mathematics and Physics
Deposited On:2016-01-13
Last Modified:2017-11-01

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