刚性轴对称狭窄血管内压强及其梯度的研究

基于对Karman-Pohlhausen方法的改进，运用非线性多项式拟合和数值积分，导出了刚性轴对称狭窄管内压强及其梯度的轴向分布，讨论了该分布与雷诺数和狭窄管几何形状之间的关系．结果表明随狭窄度和雷诺数的增加，压强及其梯度在狭窄区域的振荡会迅速加剧，并逐渐导致舒张区出现负压强．尤其在狭窄的轴向区域变宽时，舒张区的血流状态会受到较大影响．在高雷诺数和重度狭窄时，理论计算与过去的实验结果基本一致．

Pressure and Pressure Gradient in an Axisymmetric Rigid Vessel With Stenosis

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.