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130427 - Steady flow of a Reiner-Rivlin fluid between rotating plates.pdf (1.43 MB)

Steady flow of a Reiner-Rivlin fluid between rotating plates

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posted 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.

History

Publication title

Physics of Fluids

Volume

30

Issue

10

Article number

103104

Number

103104

Pagination

1-8

ISSN

1070-6631

Department/School

School of Natural Sciences

Publisher

Amer Inst Physics

Place of publication

Circulation & Fulfillment Div, 2 Huntington Quadrangle, Ste 1 N O 1, Melville, USA, Ny, 11747-4501

Rights statement

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 http://dx.doi.org/10.1063/1.5053833

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  • Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences; Expanding knowledge in the physical sciences

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