Theoretical Study on the Bifurcation of Vortexes Structure for Flow in Curved Tube

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

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Article Navigation > Applied Mathematics and Mechanics > 2000 > 21(12): 1215-1226

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, 2000, 21(12): 1215-1226.

Citation:

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, 2000, 21(12): 1215-1226.

Citation:

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, 2000, 21(12): 1215-1226.

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Theoretical Study on the Bifurcation of Vortexes Structure for Flow in Curved Tube

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

Received Date: 2000-03-21
Rev Recd Date: 2000-07-11
Publish Date: 2000-12-15

Abstract

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.
- curved tube,
- steady flow,
- bifurcation,
- topological structure,
- Galerkin technique

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References(22)

References

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