Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (12): 1345-1358.

• Articles • Previous Articles     Next Articles

THEORETICAL STUDY ON THE BIFURCATION OF VORTEXES STRUCTURE FOR FLOW IN CURVED TUBE

WU Wang-yi, TAN Wen-chang, LI Juan, XIE Wen-jun   

  1. Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P. R. China
  • Received:2000-03-21 Revised:2000-07-11 Online:2000-12-18 Published:2000-12-18
  • Supported by:

    Doctoral Foundation of the National Education Committee of China;Foundation for University Key Teacher by the Minister of Education

Abstract: The number and distribution of the singular points of streamlines in the cross-section of steady flow through a curved tube are discussed by using the method of topological structure analysis. And a theoretical criterion is obtained for the bifurcation of flow vortexes for the secondary flow turning from two-vortex structure into four-vortex structure. Furthermore, the critical Dean number for bifurcation and the semi-analytical expressions of stream function and axial velocity are given by using Galerkin technique. The result of calculation is consistent with the theoretical criterion.

2010 MSC Number: 

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