The Couple Motion Between Vessel Wall and blood in the Entrance Region of a Tapered Vessel

Cen Ren-jing; Qin Chan; Tan Zhe-dong

Volume 16 Issue 1

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 1995 > 16(1): 15-22

Cen Ren-jing, Qin Chan, Tan Zhe-dong. The Couple Motion Between Vessel Wall and blood in the Entrance Region of a Tapered Vessel[J]. Applied Mathematics and Mechanics, 1995, 16(1): 15-22.

Citation:

Cen Ren-jing, Qin Chan, Tan Zhe-dong. The Couple Motion Between Vessel Wall and blood in the Entrance Region of a Tapered Vessel[J]. Applied Mathematics and Mechanics, 1995, 16(1): 15-22.

Citation:

Cen Ren-jing, Qin Chan, Tan Zhe-dong. The Couple Motion Between Vessel Wall and blood in the Entrance Region of a Tapered Vessel[J]. Applied Mathematics and Mechanics, 1995, 16(1): 15-22.

PDF( 2594 KB)

The Couple Motion Between Vessel Wall and blood in the Entrance Region of a Tapered Vessel

South China Uniuersity of Sciel1ce and Technology, Guangzhou

Received Date: 1993-10-29
Publish Date: 1995-01-15

Abstract

Abstract

A problem of couple motion between vessel wall and blood in the entrance region of a tapered vessel is considered in this paper.A mathematical model of co-couple action is formed for both motion of vessel wall and blood flow in the entrance regance region of elastic vessel with tapered angle.Under the situation that the relative boundary conditions are satisfied,a set of velocity distribution formula,pressure distribution formula for the blood flow in a tapered elastic vessel are derived.Some important conclusions are obtained.
- vessel wall,
- blood flow,
- couple motion,
- tapered angle

FullText(HTML)

References(9)

References

[1]	Слёёкин,Н.А.Дцнаяц Вяакоа Неоскциаецоц Жсцбкосмц,Государственное Издатоятво Тохлпко-Тоординкоа Лпгорар,Москова(1955),p.350-384.
[2]	Oka,S.,The steady slow motion of a viscous fluid through a tapered tube,J.of the Physical Society of Japan,19,(8)(1964).1481-1484.
[3]	Wiggert,D.C.and W.F.Keitzer,Pulsatile flow in cylindrical and tapered rubber tubing,biomechanics monography,ASME(1967),125-136.
[4]	Nishimura,J.and S.Oka,The steady flow of a viscous fluid through a tapered tube,J.of the Physical Society of Japan,20,3,May,(1985),1235-1239.
[5]	秦禅,Ned H.C.Hwang,锥形血管中的血液流动,华南理工大学学报,18(1)(1990),33-41.
[6]	岑人经、秦蝉,圆谁形血管中刁振荡发展流动,应用数学和力学,14(4)(1993),302-308.
[7]	岑人经,血液流动与血管壁运动,应用数学和力学,9(8)(1988).765-776.
[8]	Cen,Ren-Jing,Liu Bao-sen and Ned H.C.Hwang,Developing oscillatory flow in a circular pipe:a new solution,J.of Biomechanical Engineering,Trans.of the ASME,109,(1987),340-345.
[9]	Kuchar,N.R.and S.Ostrach,Flow in the entrance region of circular elastic tube,Biomedical Fluid Dynamics Symposium,ASME,(1966),45-69

Relative Articles

[1]	ZHUANG Yuan, WAN De-cheng. Numerical Study on Coupling Effects of FPSO Ship Motion and LNG Tank Sloshing in Low-Filling Conditions[J]. Applied Mathematics and Mechanics, 2016, 37(12): 1378-1393. doi: 10.21656/1000-0887.370516
[2]	TANG Zhan-qi, LIU Kun, WANG Wei, LIU Xiao-jun. Numerical Analysis of Grease Lubrication for Radial Spherical Plain Bearings in Rotation and Swing Motion[J]. Applied Mathematics and Mechanics, 2015, 36(2): 207-219. doi: 10.3879/j.issn.1000-0887.2015.02.010
[3]	Kh. S. Mekheimer, Mohamed H. Haroun, M. A. El Kot. Effects of Magnetic Field,Porosity and Wall Properties for Anisotropically Elastic Multi-Stenosis Arteries on the Characteristics of Blood Flow[J]. Applied Mathematics and Mechanics, 2011, 32(8): 981-997. doi: 10.3879/j.issn.1000-0887.2011.08.009
[4]	Kh. S. Mekheimer, M. A. El Kot. Magnetic Field and Hall Currents Influences on Blood Flow Through a Stenotic Artery[J]. Applied Mathematics and Mechanics, 2008, 29(8): 991-1002.
[5]	WEI Lan, WEN Gong-bi, TAN Wen-chang. Blood Flow and Macromolecular Transport in Curved Blood Vessels[J]. Applied Mathematics and Mechanics, 2006, 27(9): 1071-1078.
[6]	Anil Kumar, C. L. Varshney, G. C. Sharma. Computational Technique for Flow in Blood Vessels With Porous Effects[J]. Applied Mathematics and Mechanics, 2005, 26(1): 58-66.
[7]	Anil Kumar, C. L. Varshney, G. C. Sharma. Performance Modeling and Analyis of Blood Flow in Elastic Arteries[J]. Applied Mathematics and Mechanics, 2005, 26(3): 316-324.
[8]	XU Shi-xiong, JI Lin, WANG Qing-wei. Numerical Investigation of Effect of Rolling Manipulation of Traditional Chinese Medical Massage on Blood Flow[J]. Applied Mathematics and Mechanics, 2005, 26(6): 694-700.
[9]	LI Xin-yu, WEN Gong-bi, LI Ding. Computer Simulation of Non-Newtonian Flow and Mass Transport Through Coronary Arterial Stenosis[J]. Applied Mathematics and Mechanics, 2001, 22(4): 359-372.
[10]	HUANG Hao, WEN Gong-bi. A New Unsteady Three Dimensional Model for Macromolecular Transport and Water Filtration Across the Arterial Wall[J]. Applied Mathematics and Mechanics, 2001, (10): 1043-1057.
[11]	G. C. Sharma, Madhu Jain, Anil Kumar. Finite Element Galerkin Approach for a Computational Study of Arterial Flow[J]. Applied Mathematics and Mechanics, 2001, 22(9): 911-917.
[12]	Wu Wangyi, Dai Guohao, Wen Gongbi. The Dynamic Coupling of Left Ventricle and Systemic Arteries[J]. Applied Mathematics and Mechanics, 1999, 20(7): 661-674.
[13]	Cen Ren-jing, Tan Zhe-dong, Chen Zheng-zong. The Stress Analysis of Vessel wall in the Entrance Region of a Tapered Vessel[J]. Applied Mathematics and Mechanics, 1994, 15(12): 1083-1090.
[14]	Cen Ren-jing, Qin Chan. Boundary Layer Development of Pulsatile Blood Flow in a Tapered Vessel[J]. Applied Mathematics and Mechanics, 1993, 14(4): 301-308.
[15]	Guo Zhong-san. Fluid Mechanics of Microvascular Vasomotion and the Effects of Blood Viscoelasticity[J]. Applied Mathematics and Mechanics, 1992, 13(2): 157-163.
[16]	Wu Wang-yi, Cheng He-ping. The Effect of the Vasomotion on the Mass Transfer in Microcirculation[J]. Applied Mathematics and Mechanics, 1988, 9(9): 763-769.
[17]	Wu Wang-yi, Wu Ning-zhong. The Dynamic analysis of the Vasomotion in Microcirculation[J]. Applied Mathematics and Mechanics, 1988, 9(7): 593-598.
[18]	Cen Ren-jing. The Blood Flow and the Motion of Vessel Wall[J]. Applied Mathematics and Mechanics, 1988, 9(8): 713-724.
[19]	Chu Yueh-rei. Narrow Gap Stability Theory of Blood Flow between Two Relatively Rotating Concentric Cones[J]. Applied Mathematics and Mechanics, 1983, 4(3): 401-410.
[20]	Zhu Yueh-rui, Zhang Xiao-ci. A Boundary Perturbation Solution for the Hydrodynamic Stability of Blood Flow in a Cone-Type Blood Processor[J]. Applied Mathematics and Mechanics, 1983, 4(4): 551-561.