HYBRID PERTURBATION-GALERKIN SOLUTION OF THE FLOW IN A CIRCULAR CROSS-SECTION TUBE WITH CONSTRICTION

Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (2): 219-227.

HYBRID PERTURBATION-GALERKIN SOLUTION OF THE FLOW IN A CIRCULAR CROSS-SECTION TUBE WITH CONSTRICTION

沈新荣, 高琪, 章本照, 张金锁

Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China

收稿日期:2001-11-13 修回日期:2003-09-30 出版日期:2004-02-18 发布日期:2004-02-18
基金资助:
the National Natural Science Foundation of China (10272096)

HYBRID PERTURBATION-GALERKIN SOLUTION OF THE FLOW IN A CIRCULAR CROSS-SECTION TUBE WITH CONSTRICTION

SHEN Xin-rong, GAO Qi, ZHANG Ben-zhao, ZHANG Jin-suo

Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China

Received:2001-11-13 Revised:2003-09-30 Online:2004-02-18 Published:2004-02-18
Supported by:
the National Natural Science Foundation of China (10272096)

摘要/Abstract

摘要： Using hybrid perturbatin-Galerkin technique,a crcular cross-section tube model with sinusoidal wall is studied.This technique can remove the limitation of small parameters for perturbation and the difficulty of selecting good coordinate functions about Galerkin technique.The effects caused by the boundary conditions and the Reynolds number on the flow were discussed.The position of the separate and reattachment points was obtained.The tendency of the variation about the shear stress on the wall and friction factor along the axis direction were also analyzed.The results at a small parameter have good agreements with the perturbation ones.

Abstract: Using hybrid perturbatin-Galerkin technique,a crcular cross-section tube model with sinusoidal wall is studied.This technique can remove the limitation of small parameters for perturbation and the difficulty of selecting good coordinate functions about Galerkin technique.The effects caused by the boundary conditions and the Reynolds number on the flow were discussed.The position of the separate and reattachment points was obtained.The tendency of the variation about the shear stress on the wall and friction factor along the axis direction were also analyzed.The results at a small parameter have good agreements with the perturbation ones.

中图分类号:

沈新荣;高琪;章本照;张金锁. HYBRID PERTURBATION-GALERKIN SOLUTION OF THE FLOW IN A CIRCULAR CROSS-SECTION TUBE WITH CONSTRICTION[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(2): 219-227.

SHEN Xin-rong;GAO Qi;ZHANG Ben-zhao;ZHANG Jin-suo . HYBRID PERTURBATION-GALERKIN SOLUTION OF THE FLOW IN A CIRCULAR CROSS-SECTION TUBE WITH CONSTRICTION[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(2): 219-227.

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HYBRID PERTURBATION-GALERKIN SOLUTION OF THE FLOW IN A CIRCULAR CROSS-SECTION TUBE WITH CONSTRICTION

HYBRID PERTURBATION-GALERKIN SOLUTION OF THE FLOW IN A CIRCULAR CROSS-SECTION TUBE WITH CONSTRICTION

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