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Relation between the quasi-cylindrical approximation and the critical classification for swirling flow

Relation between the quasi-cylindrical approximation and the critical classification for swirling... It is shown that under the assumption of the quasi-cylindrical approximation with viscous effect the critical flow corresponds to a singularity, as flows approach the critical state from both sides, the radial components of velocity go separately to positive and negative infinity, and that for inviscid flow solution of the quasi-cylindrical approximation can only be trivial solution, i.e. strictly cylindrical flow. It is also shown that in subcritical range the iterative procedure accounting for non-linear effect of equations diverges necessarily. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mechanica Sinica Springer Journals

Relation between the quasi-cylindrical approximation and the critical classification for swirling flow

Acta Mechanica Sinica , Volume 3 (4) – Aug 15, 2006

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References (11)

Publisher
Springer Journals
Copyright
Copyright
Subject
Engineering; Theoretical and Applied Mechanics; Classical and Continuum Physics; Engineering Fluid Dynamics; Computational Intelligence
ISSN
0567-7718
eISSN
1614-3116
DOI
10.1007/BF02486816
Publisher site
See Article on Publisher Site

Abstract

It is shown that under the assumption of the quasi-cylindrical approximation with viscous effect the critical flow corresponds to a singularity, as flows approach the critical state from both sides, the radial components of velocity go separately to positive and negative infinity, and that for inviscid flow solution of the quasi-cylindrical approximation can only be trivial solution, i.e. strictly cylindrical flow. It is also shown that in subcritical range the iterative procedure accounting for non-linear effect of equations diverges necessarily.

Journal

Acta Mechanica SinicaSpringer Journals

Published: Aug 15, 2006

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