变截面圆形管道粘性流动的伽辽金-摄动杂交解

沈新荣; 高琪; 章本照; 张金锁

变截面圆形管道粘性流动的伽辽金-摄动杂交解

浙江大学力学系,杭州 310027

基金项目: 国家自然科学基金资助项目(10272096)

详细信息

作者简介:
沈新荣(1969- ),男,浙江杭州人,副教授,博士(联系人.Tel:13355789661;E-mail:xinrong.shen@263.net).

中图分类号: O351
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出版历程
- 收稿日期: 2001-11-13
- 修回日期: 2003-09-30
- 刊出日期: 2004-02-15

Hybrid Perturbation-Galerkin Solution of the Flow in a Circular Cross-Section Tube With Constriction

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

摘要

摘要: 采用伽辽金-摄动杂交法来研究壁面是正弦形状的变截面圆形管道的粘性流动，从而避免了摄动小参数的局限性和单纯伽辽金法基函数选取的任意性的困难．讨论了边界和雷诺数对流动的影响，获得流动分离点和附着点的位置，还分析了壁面剪应力和摩擦系数沿轴向的变化情况．在小参数的情况下，计算所获得的结果与摄动解吻合良好．
- 伽辽金-摄动杂交法 /
- 变截面圆形管道 /
- 血管流动
Abstract: Using hybrid perturbatin-Galerkin technique,a crcular cross-section tube model with sinu-soidal 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.
- hybrid perturbation-Galerkin technique /
- circular cross-section tube with constriction /
- blood flow

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参考文献(16)

[1]	Waters S L,Pedley T J.Oscillatory flow in a tube of time-dependent curvature-Patr 1:Perturbation to flow in a stationary curved tube[J].J Fluid Mech,1999,383:327—352. doi: 10.1017/S0022112099004085
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[5]	Young D F,Tasi F Y.Flow characteristics in models of arterial stenosis Ⅱ-unsteady flow[J].Ibid,1973,6:411—425.
[6]	Daly B J.A numerical study of pulsatile flow through stenosed canine femoral arteries[J].J Biomech,1976,9:465—475. doi: 10.1016/0021-9290(76)90090-7
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[9]	Deshpande M D.Steady laminar and trubulent flow through vascular stenosis models[D].Ph D Dissertation. Georgia Institute of Technology,1977.
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变截面圆形管道粘性流动的伽辽金-摄动杂交解

作者简介:
沈新荣(1969- ),男,浙江杭州人,副教授,博士(联系人.Tel:13355789661;E-mail:xinrong.shen@263.net).

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Hybrid Perturbation-Galerkin Solution of the Flow in a Circular Cross-Section Tube With Constriction

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留言板

变截面圆形管道粘性流动的伽辽金-摄动杂交解

作者简介: 沈新荣(1969- ),男,浙江杭州人,副教授,博士(联系人.Tel:13355789661;E-mail:xinrong.shen@263.net).

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出版历程

Hybrid Perturbation-Galerkin Solution of the Flow in a Circular Cross-Section Tube With Constriction

计量

出版历程

目录

作者简介:
沈新荣(1969- ),男,浙江杭州人,副教授,博士(联系人.Tel:13355789661;E-mail:xinrong.shen@263.net).