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Steady flow of a Reiner-Rivlin fluid between rotating plates


Forbes, LK, Steady flow of a Reiner-Rivlin fluid between rotating plates, Physics of Fluids, 30, (10) Article 103104. ISSN 1070-6631 (2018) [Refereed Article]


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Copyright 2018 The Author. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Physics of Fluids, volume 30, issue 10 and may be found at

DOI: doi:10.1063/1.5053833


This paper considers a von Kármán type axisymmetric flow between parallel plates, in which the top plate rotates and the bottom one is stationary. Between the plates is a weakly non-Newtonian fluid of Reiner-Rivlin type. A highly accurate spectral method is presented for solving the steady problem, and Newton’s method is used to find the Fourier coefficients and an eigenvalue. Multiple solutions are found, of which one is clearly of Batchelor type and another is clearly of Stewartson type, and these persist in the non-Newtonian regime. Such flows may be of practical use in viscometry, in which the coefficient of the non-Newtonian viscous term might be measured.

Item Details

Item Type:Refereed Article
Keywords:rotating flow, parallel plates, viscous fluid, multiple solutions, viscometry
Research Division:Engineering
Research Group:Fluid mechanics and thermal engineering
Research Field:Microfluidics and nanofluidics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the physical sciences
UTAS Author:Forbes, LK (Professor Larry Forbes)
ID Code:130437
Year Published:2018
Web of Science® Times Cited:5
Deposited By:Mathematics and Physics
Deposited On:2019-01-24
Last Modified:2019-04-29
Downloads:48 View Download Statistics

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