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Non-axisymmetric Homann stagnation-point flows

Published online by Cambridge University Press:  18 May 2012

P. D. Weidman
P. D. Weidman*
Affiliation:
Department of Mechanical Engineering, University of Colorado, Boulder, CO 80309-0427, USA
*
†Email address for correspondence: weidman@colorado.edu
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Abstract

A modification of Homann’s axisymmetric outer potential stagnation-point flow of strain rate is obtained by adding periodic radial and azimuthal velocities of the form and , respectively, where is a shear rate. This leads to the discovery of a new family of asymmetric viscous stagnation-point flows depending on the shear-to-strain-rate ratio that exist over the range . Numerical solutions for the wall shear stress parameters and the displacement thicknesses are given and compared with their large- asymptotic behaviours. Sample similarity velocity profiles are also presented.

JFM classification

Mathematical Foundations: General fluid mechanics
Type
Papers
Information
Journal of Fluid Mechanics , Volume 702 , 10 July 2012 , pp. 460 - 469
Copyright
Copyright © Cambridge University Press 2012

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