Blood Flow Velocity in Stenosed Artery

被引:0
作者
Awaludin, Izyan Syazana [1 ]
Ahmad, Rokiah Rozita [1 ]
机构
[1] Univ Kebangsaan Malaysia, Sch Math Sci, Fac Sci & Technol, Ukm Bangi 43600, Selangor De, Malaysia
来源
PROCEEDINGS OF THE 20TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM20): RESEARCH IN MATHEMATICAL SCIENCES: A CATALYST FOR CREATIVITY AND INNOVATION, PTS A AND B | 2013年 / 1522卷
关键词
fourth order Runge-Kutta method; length; height; TUBES;
D O I
10.1063/1.4801132
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Stenosis is an occlusion of the blood vessels due to the accumulation of cholesterol, fat and the abnormal growth of tissue at the arterial wall. The regional blood rheology is altered once a stenosis develops in the artery. This is due to the presence of stenosis which is one of the factors that cause problem in blood circulation system. This study was conducted to determine the velocity of blood flow in stenosed artery. Modified mathematical model is used to analyze the relationship of the velocity versus the length and height of stenosis. The existing models that have been created by previous researchers are solved using fourth order Runge-Kutta method. Numerical results show that the velocity is proportionate to the length and height of stenosis.
引用
收藏
页码:261 / 268
页数:8
相关论文
共 8 条
[1]  
Imaeda K., 1980, J BIOMECH, V13, P165
[2]   FLOW IN LOCALLY CONSTRICTED TUBES AT LOW REYNOLDS NUMBERS [J].
LEE, JS ;
FUNG, YC .
JOURNAL OF APPLIED MECHANICS, 1970, 37 (01) :9-&
[3]  
LIEPSCH D, 1992, BIORHEOLOGY, V29, P419
[4]  
Patel U., 2003, PUBLIC MED, V58, P770
[5]   MODEL STUDIES OF PRESSURE AND FLOW PULSES IN A VISCOELASTIC ARTERIAL CONDUIT [J].
ROCKWELL, RL ;
ANLIKER, M ;
ELSNER, J .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1974, 297 (05) :405-427
[6]   SEPARATING FLOW THROUGH A SEVERELY CONSTRICTED SYMMETRIC TUBE [J].
SMITH, FT .
JOURNAL OF FLUID MECHANICS, 1979, 90 (FEB) :725-754
[7]   Generalized finite difference method for 3-D viscous flow in stenotic tubes with large wall deformation and collapse [J].
Tang, DL ;
Yang, C ;
Kobayashi, S ;
Ku, DN .
APPLIED NUMERICAL MATHEMATICS, 2001, 38 (1-2) :49-68
[8]  
Tu J., 2005, ANZIAM J, V47, P507