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Some aspects of bifurcation structure of laminar flow in curved ducts

Published online by Cambridge University Press:  26 April 2006

Hsiao C. Kao
Hsiao C. Kao
Affiliation:
National Aeronautics and Space Administration. Lewis Research Center. Cleveland, OH 44135, USA
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Abstract

A bifurcation study is made of laminar flow in curved ducts. The problem is formulated in a curvilinear coordinate system, and the governing equations, after orthogonal mapping is applied, are solved numerically by an iterative finite-difference method. Many computer runs were made with various duct cross-sections ranging from a circle to a square, to learn the transition of bifurcation structure with this change in cross-section and to reconcile the differences between them. In addition, a simpler technique is proposed to generate symmetric four-cell solutions in a circular pipe and a means is put forward to stabilize four-vortex structures in a complete cross-section.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 243 , October 1992 , pp. 519 - 539
Copyright
© 1992 Cambridge University Press

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