Steady flow of a Reiner-Rivlin fluid between rotating plates
journal contributionposted on 2023-05-20, 00:13 authored by Lawrence ForbesLawrence Forbes
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.
Publication titlePhysics of Fluids
Department/SchoolSchool of Natural Sciences
PublisherAmer Inst Physics
Place of publicationCirculation & Fulfillment Div, 2 Huntington Quadrangle, Ste 1 N O 1, Melville, USA, Ny, 11747-4501
Rights statementCopyright 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 http://dx.doi.org/10.1063/1.5053833