血液锥形分离杯内血液流动稳定性的边界摄动解

本文首次用边界摄动方法求解了二相同角速度转动的圆锥面间(窄间隙)均质流体的流动,和锥面间流动稳定性,证实了在小轴向Re数、窄间隙血液分离杯中血液流动的稳定性.并进而采用一种新的数学技巧证实了二相同角速度转动的圆柱面间(窄间隙)流动流体动力稳定性. 理论分析得到上海医疗器械研究所实验的证实.

A Boundary Perturbation Solution for the Hydrodynamic Stability of Blood Flow in a Cone-Type Blood Processor

This paper may be the first attempt to solve the flow-field of homogeneous fluid between concentric cones (narrow gap) with equal angular velocities of rotation by using a boundary perturbation method, and the hydrodynamic stability of blood flow in the cone-type blood processor is verified, under conditions of the narrow gap between the cones and small axial Re numbers. This paper also verifies the hydrodynamic stability between concentric cylinders (narrow gap) with equal angular velocities of rotation by using a new mathematical technic.These theoretical analyses are in agreement with the experimental observations, which have been made by Shanghai Medical Instruments Institute.