Banerjee R K, Back L H, Cho Y I
Department of Mechanical Engineering and Mechanics, Drexel University, Philadelphia, PA 19104, USA.
Biorheology. 1995 Nov-Dec;32(6):655-84. doi: 10.1016/0006-355X(95)00044-A.
This study describes the in vivo measurement of pressure drop and flow during the cardiac cycle in the femoral artery of a dog, and the computer simulation of the experiment based on the use of the measured flow, vessel dimensions and blood viscosity. In view of the experimental uncertainty in obtaining the accurate velocity profile at the wall region, the velocity pulse at the center was measured and numerical calculations were performed for the center line instantaneous velocity and within the two limits of spatial distribution of inlet flow conditions: uniform and parabolic. Temporal and spatial variations of flow parameters, i.e., velocity profile, shear rate, non-Newtonian viscosity, wall shear stress, and pressure drop were calculated. There existed both positive and negative shear rates during a pulse cycle, i.e., the arterial wall experiences zero shear three times during a cardiac cycle. For the parabolic inlet condition, the taper of the artery not only increased the magnitude of the positive and negative shear rates, but caused a steep gradient in shear rate, a phenomenon which in turn affects wall shear stress and pressure. In contrast, for the uniform inlet condition, the flow through the tapered artery was predominantly the developing type, which resulted in reduction in magnitude of wall shear rate along the axial direction.
本研究描述了犬股动脉心动周期内压降和血流的体内测量,以及基于测量的血流、血管尺寸和血液粘度对该实验进行的计算机模拟。鉴于在壁面区域获取准确速度分布存在实验不确定性,测量了中心处的速度脉冲,并针对中心线瞬时速度以及入口流动条件空间分布的两个极限(均匀和抛物线形)进行了数值计算。计算了流动参数的时空变化,即速度分布、剪切速率、非牛顿粘度、壁面剪应力和压降。在一个脉冲周期内存在正、负剪切速率,即在一个心动周期内动脉壁有三次经历零剪切。对于抛物线形入口条件,动脉的锥度不仅增加了正、负剪切速率的大小,还导致剪切速率出现陡峭梯度,这一现象反过来又影响壁面剪应力和压力。相比之下,对于均匀入口条件,通过锥形动脉的流动主要是发展型,这导致沿轴向壁面剪切速率的大小减小。