Radial stagnation flow on a rotating circular cylinder with uniform transpiration
type: Item
instance of: scholarly article
title: Radial stagnation flow on a rotating circular cylinder with uniform transpiration
zbMATH Open document ID: 0908.76095
DOI: 10.1023/A:1004243728777
author: G. M. Cunning
author: Anthony M. J. Davis
author: P. D. Weidman
published in: Journal of Engineering Mathematics
publication date: 1999-03-22T00:00:00Z
review text: Radial stagnation flow of strain rate \(k\) impinging on a cylinder with uniform transpiration \(U_0\) and rotating at constant angular velocity \(\omega\) is investigated. An exact reduction of the Navier-Stokes equations to a primary nonlinear equation for the meridional flow and a secondary linear equation for the azimuthal flow is obtained. The governing parameters are the stagnation-flow Reynolds number \(R= ka^2/2 \nu\), the dimensionless transpiration \(S=U_0/k a\), and the dimensionless rotation rate \(\Omega= \omega/k\), where \(a\) is the cylinder radius and \(\nu\) is the kinematic viscosity of the fluid. The boundary value problem is solved by numerical integration and by asymptotic analysis in certain limits. The results are summarized in plots of the axial and azimuthal shear-stress parameters as functions of \(R\) and \(S\).
Mathematics Subject Classification ID: 76U05
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 1182026
zbMATH Keywords: primary nonlinear equation for meridional flow
zbMATH Keywords: secondary linear equation for azimuthal flow
zbMATH Keywords: double-layer structure in azimuthal velocity profile
zbMATH Keywords: blow-off
zbMATH Keywords: boundary value problem
zbMATH Keywords: numerical integration
zbMATH Keywords: asymptotic analysis
MaRDI profile type: Publication
full work available at URL: a:1004243728777
OpenAlex ID: W1660826498
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description: scientific article; zbMATH DE number 1182026