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

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

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

吴望一, 谭文长, 李娟, 谢文俊

Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P. R. China

收稿日期:2000-03-21 修回日期:2000-07-11 出版日期:2000-12-18 发布日期:2000-12-18
基金资助:
Doctoral Foundation of the National Education Committee of China;Foundation for University Key Teacher by the Minister of Education

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

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

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

摘要/Abstract

摘要： 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.

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.

中图分类号:

O29
TB11

吴望一;谭文长;李娟;谢文俊. THEORETICAL STUDY ON THE BIFURCATION OF VORTEXES STRUCTURE FOR FLOW IN CURVED TUBE[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(12): 1345-1358.

WU Wang-yi;TAN Wen-chang;LI Juan;XIE Wen-jun. THEORETICAL STUDY ON THE BIFURCATION OF VORTEXES STRUCTURE FOR FLOW IN CURVED TUBE[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(12): 1345-1358.

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

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

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