Swirling flow between rotating plates
type: Item
instance of: scholarly article
title: Swirling flow between rotating plates
zbMATH Open document ID: 0594.76022
DOI: 10.1007/BF00280030
author: Seymour V. Parter
author: K. R. Rajagopal
published in: Archive for Rational Mechanics and Analysis
publication date: 1984-01-01T00:00:00Z
review text: The authors seek the solutions of the Navier Stokes equations in the form: \[ U_ x=xH'(z)-G(z)y+g(z);\quad \] \[ U_ y=yH'(z)+G(z)x- f(z);\quad U_ z=-H(z) \] and showed that H(z), G(z), g(z), f(z) satisfy a boundary value problem which constitutes the nonlinear von Kármán equations for axially symmetric swirling flow for functions H(z,\(\epsilon)\), G(z,\(\epsilon)\) and a linear set of equations for f(z,\(\epsilon)\), g(z,\(\epsilon)\) with coefficients depending on H(z,\(\epsilon)\), G(z,\(\epsilon)\). When the planes rotate with different angular velocities about a common axis or distinct axes it is shown that there is a one parameter family of solutions for large viscosities.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76U05
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 3956645
zbMATH Keywords: rotating plates
zbMATH Keywords: nonlinear von Kármán equations
zbMATH Keywords: axially symmetric swirling flow
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3956645