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Steady flow of a Reiner-Rivlin fluid between rotating plates

Forbes, LK ORCID: 0000-0002-9135-3594 2018 , 'Steady flow of a Reiner-Rivlin fluid between rotating plates' , Physics of Fluids, vol. 30, no. 10 , pp. 1-8 , doi:

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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 Type: Article
Authors/Creators:Forbes, LK
Keywords: rotating flow, parallel plates, viscous fluid, multiple solutions, viscometry
Journal or Publication Title: Physics of Fluids
Publisher: Amer Inst Physics
ISSN: 1070-6631
DOI / ID Number:
Copyright Information:

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

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