摘要
根据粘性不可压Navier-Stokes方程,建立Y型分又血管中血液流动的数学模型,进而采用有限元方法研究不同分又角Y型血管动脉狭窄位置对血液流动的影响,得到了不同角度不同狭窄位置和无狭窄病变时的数值模拟结果,主要给出了各种情况下血液流动的流线图和压力图.一方面,观察流线图可知,血液流经狭窄区域时,出现流动分离,并在一定区域产生涡流,且随着狭窄位置不同,涡流位置和涡流区域面积也随之不同;另一方面,从计算的压力图中可以看到当血液流过狭窄区域时,压力发生迅速变化,且相同分叉角度下狭窄位置不同,狭窄区域压力不同;狭窄位置相同时,不同分叉角度的血管分又区域压力也有差别.
According to the viscous incompressible Navier-Stokes equations,the mathematical model of the blood flow in Y-bifurcation blood vessel is built up.The influence of arterial stenosis in different Y-bifurcation blood vessels is studied based on the finite element method,and the numerical simulation results are obtained on velocity streamlines and pressure level lines.From the streamlines we can find that the blood flow through the stenosis appears separation phenomenon,and the positions and areas of the vortex are different from the different stenosis positions.On the other hand,observing the pressure level lines,the pressure will change rapidly when blood flows through the stenosis,and the pressure is different with the different stenosis position in the same bifurcate angle,while the stenosis at same position,the pressure will change with the different bifurcate angles.
出处
《数学的实践与认识》
北大核心
2016年第4期150-156,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(11401511)
国家级大学生创新训练计划项目(201410755006)
