Thurston G B
Biophys J. 1972 Sep;12(9):1205-17. doi: 10.1016/S0006-3495(72)86156-3.
Measurements made for oscillatory flow of blood in circular tubes show that blood possesses elastic properties which make consideration of its viscous properties alone inadequate. Results are for a frequency of 10 Hz while varying the amplitude of the velocity gradient for red blood cells in plasma at concentrations ranging from 0 to 100% apparent hematocrit. For velocity gradients less than 1-2 sec(-1) both the viscous and elastic components of the shearing stress are linearly related to the gradient. For hematocrits above 20% the elastic component of the complex coefficient of viscosity increases with hematocrit approximately to the third power while the viscous component increases exponentially. Oscillatory flow measurements at very low hematocrits, when extrapolated to zero cell concentration, give the intrinsic viscosity of the average individual isolated red cell. The viscous part of this is found to be 1.7 which is compared with theoretical values from the rigid ellipsoid model for which the minimum possible value is 2.5. This difference is attributed to cell deformability. With increasing velocity gradient nonlinear properties develop. The viscous component of the complex viscosity becomes of the order of the steady flow viscosity at high gradients while the elastic component tends to decrease in inverse proportion to the gradient. Thus, the elastic component of the oscillatory stress tends to saturate, this tendency appearing at the approximate level of the yield stress.
对圆形管道中血液振荡流动的测量表明,血液具有弹性特性,这使得仅考虑其粘性特性是不够的。结果是在频率为10Hz时,改变血浆中红细胞速度梯度的幅度,血细胞比容表观浓度范围为0至100%。对于小于1 - 2秒⁻¹的速度梯度,剪切应力的粘性和弹性分量都与梯度呈线性关系。对于高于20%的血细胞比容,复数粘度系数的弹性分量随血细胞比容大致呈三次方增加,而粘性分量呈指数增加。在极低血细胞比容下的振荡流动测量,外推到零细胞浓度时,可得到单个平均分离红细胞的特性粘度。发现其粘性部分为1.7,与刚性椭球体模型的理论值相比,该模型的最小可能值为2.5。这种差异归因于细胞的可变形性。随着速度梯度增加,非线性特性显现。在高梯度下,复数粘度的粘性分量变为与稳定流动粘度相当,而弹性分量趋于与梯度成反比减小。因此,振荡应力的弹性分量趋于饱和,这种趋势出现在近似屈服应力水平。