圆截面螺旋管道内非定常流动研究

章本照; 马寨璞; 苏霄燕; 张金锁

圆截面螺旋管道内非定常流动研究

1.
浙江大学, 力学系, 杭州, 310027;
2.
河北大学, 生命科学学院, 保定, 071002

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:
章本照(1941- ),男,浙江衢州人,浙江大学流体工程研究所所长,教授,博导(E-mail:zbzq@emb.zju.edu.cn)

中图分类号: O373;R318.01
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- 被引次数: 0
出版历程
- 收稿日期: 2001-02-10
- 修回日期: 2002-12-24
- 刊出日期: 2003-05-15

A Study on the Unsteady Flow in a Helical Pipe

1.
Department of Mechanics, Zhejiang University, Hangzhou 310027 P.R.China;
2.
College of Life Science, Hebei Univerwity, Baoding, Hebei 071002, P.R.China

摘要

摘要: 以血液流动为背景,利用双参数摄动法研究了圆截面螺旋管内低频振荡流动,得到问题的二阶摄动解,分析了轴向速度、二次流、壁面剪应力在不同时刻的特点及随时间和Womersley数的变化情况。研究表明:挠率对圆截面曲线管道内低频振荡流动的影响不可忽略,尤其是轴向压力梯度绝对值很小时,挠率将对二次流动结构起主要影响作用。流函数的剧烈变化只发生在正、负数值发生转变的很小的时间段内,大部分时间段内变化平缓。壁面剪应力随θ的变化也很大。
- 振荡流动 /
- 摄动法 /
- 螺旋管道
Abstract: A study on the unsteady low-frequency oscillatory flow in a helical circular pipe is carried out based upon the blood flow in vessels,using the method of bi-parameter perturbation.The second order perturbation results were obtained and the characteristics were analyzed at different time of the axial velocity,of the secondary flow,and of the wall shearing stress.Also done the analysis of above-mentioned variables that varied along with time and Womersley number.The results indicate that for a helical pipe,the torsion exerts the main influence on the distribution of secondary flow velocity,especially when the absolute value of axial press gradient is rather small.The severe variation of stream function takes place within a very short period,during which time the stream function develops from positive value to negative value and vice versa,while in most cases in a cycle,the variation is smooth.The wall shearing stress changes severely with theta too.
- oscillatory flow /
- perturbation method /
- helical pipe

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参考文献(11)

[1]	Pedley T J.The Fluid Mechanics of Large Blood Vessel[M].Cambridge:Cambridge University Press, 1980.
[2]	Lyne W H.Unsteady viscous flow in a curved pipe[J].J Fluid Mech,1971,45:13-31.
[3]	Mullin T,Greated C A.Oscillatory flow incurved pipes-Part I: The developing-flow case[J].J Fluid Mech,1980,98:383-395.
[4]	Mullin T,Greated C A.Oscillatory flow incurved pipes-Part II:The fully-developed case[J]. J Fluid Mech, 1980,98,397-416.
[5]	Lynch D G, Waters S L, Pedley T J.Flow in a tube with non-uniform, time-dependent curvature: governing equations and simple example[J]. J Fluid Mech,1996,323:237-265.
[6]	Waters S L, Pedley T J. Oscillatory flow in a tube of time-dependent curvature-Part 1:Perturbation to flow in a stationary curved tube[J]. J Fluid Mech,1999,383:327-352.
[7]	Caro C G, Doorly D J, Trarnawski M, et al. Non-planar curvature and branching of arteries and non-planar-type flow[J].Proc R Soc Lond,1996,A452:185-197.
[8]	Hirayama H, Okita Y. Flow in a helically coiled tube for simulation modeling of the intramyocardial coronary arterial blood flow and shear stress analysis[J].Computer Modeling and Simulation in Engineering, 1999,4(4):311-319.
[9]	Kao H. Torsion effect on fully developed flow in a helical pipe[J].J Fluid Mech,1987,184:335-356.
[10]	Zabielski L, Mestel A J. Unsteady blood flow in a helically symmetric pipe[J].J Fluid Mech,1998,370:321-345.
[11]	Ishigaki H, Laminar flow in rotating curved pipes[J].J Fluid Mech,1996,329:373-388.