Pressure and Pressure Gradient in an Axisymmetric Rigid Vessel With Stenosis

YAO Li; LI Da-zhi

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YAO Li, LI Da-zhi. Pressure and Pressure Gradient in an Axisymmetric Rigid Vessel With Stenosis[J]. Applied Mathematics and Mechanics, 2006, 27(3): 311-315.

Citation:

YAO Li, LI Da-zhi. Pressure and Pressure Gradient in an Axisymmetric Rigid Vessel With Stenosis[J]. Applied Mathematics and Mechanics, 2006, 27(3): 311-315.

Citation:

YAO Li, LI Da-zhi. Pressure and Pressure Gradient in an Axisymmetric Rigid Vessel With Stenosis[J]. Applied Mathematics and Mechanics, 2006, 27(3): 311-315.

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Pressure and Pressure Gradient in an Axisymmetric Rigid Vessel With Stenosis

YAO Li,
LI Da-zhi

College of Science, Nantong University, Nantong, Jiangsu 226001, P. R. China

Received Date: 2004-05-08
Rev Recd Date: 2005-09-12
Publish Date: 2006-03-15

Abstract

Abstract

Based on an improvement of the Karman-Pohlhausen's method,using nonlinear polynomial fitting and numerical integral,the axial distributions of pressure and its gradient in an axisymmetric rigid vessel with stenosis were obtained,and the distributions related to Reynolds number and the geometry of stenotic vessel were discussed.It shows that with the increasing of stenotic degree or Reynolds number,the fluctuation of pressure and its gradient in stenotic area is intense rapidly,and negative pressure occurs subsequently in the diverging part of stenotic area,especially the axial range of stenosis extended,the flow of blood in the diverging part be more obviously changed.In higher Reynolds number or heavy stenosis,theoretical calculation is mainly in accordance with past experiments.
- rigid vessel,
- stenosis,
- pressure,
- gradient,
- Reynolds number

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References(10)

References

[1]	柳兆荣.心血管流体力学[M].上海:复旦大学出版社,1986,130—160.
[2]	Lee J S,Fung Y C.Flow in a locally constricted tube at low Reynolds number[J].Journal of Applied Mechanics,1970,37(1):9—16. doi: 10.1115/1.3408496
[3]	吴驰,柳兆荣.动脉狭窄对血流速的影响[J].上海力学,1995,16(3):192—199.
[4]	丁光宏,柳兆荣.缓慢狭窄血管内血液流动的分析[J].生物力学,1989,4(6):30—39.
[5]	吕岚,许世雄.局部缓慢狭窄幅度径向振荡弹性直圆管内脉动血流的压强和压强梯度分析[J].医用生物力学,1999,14(3):144—151.
[6]	Forrester J H,Young D F.Flow through a converging-diverging tube and its implications in occlusive vascular disease[J].Journal of Biomechanics,1970,3(3):297—310. doi: 10.1016/0021-9290(70)90031-X
[7]	秦杰,刘辉,孙利众，等.刚性狭窄管内血流压力分布的研究[J].生物力学,1989,4(6):57—61.
[8]	冈小天.生物流变学[M].吴云鹏，陶祖莱译.北京:科学出版社,1980,273—294.
[9]	陶祖莱.生物流体力学[M].北京:科学出版社,1984,530—538.
[10]	沃德切尼,戴维金凯德.数值数学和计算[M].薛密译.上海:复旦大学出版社,1991，396—424,163—219.