Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand.
Math Biosci Eng. 2012 Jan 1;9(1):199-214. doi: 10.3934/mbe.2012.9.199.
In this work, we investigate the behavior of the pulsatile blood flow in the system of human coronary arteries. Blood is modeled as an incompressible non-Newtonian fluid. The transient phenomena of blood flow through the coronary system are simulated by solving the three dimensional unsteady state Navier-Stokes equations and continuity equation. Distributions of velocity, pressure and wall shear stresses are determined in the system under pulsatile conditions on the boundaries. Effect of branching vessel on the flow problem is investigated. The numerical results show that blood pressure in the system with branching vessels of coronary arteries is lower than the one in the system with no branch. The magnitude of wall shear stresses rises at the bifurcation.
在这项工作中，我们研究了人类冠状动脉系统中脉动血流的行为。血液被建模为不可压缩的非牛顿流体。通过求解三维非定常纳维-斯托克斯方程和连续方程来模拟通过冠状动脉系统的血液流动的瞬态现象。在脉动条件下，在边界处确定了系统中的速度、压力和壁面剪切应力分布。研究了分支血管对流动问题的影响。数值结果表明，分支血管的冠状动脉系统中的血压低于没有分支的系统中的血压。在分叉处，壁面剪切应力的大小增加。
