在磁场作用下竖直管中有限长液柱的粘性流体运动  

Effect of Magnetic Fields on Viscous Liquid Column with Finite Length in a Vertical Stralght Tube

作　　者：温功碧[1] 孙克利[1] 

机构地区：[1]北京大学力学系

出　　处：《应用数学和力学》1994年第3期233-243,共11页Applied Mathematics and Mechanics

摘　　要：血栓的形成与血液动力学有密切关系．Ｃｈａｎｄｌｅｒ环的实验及进一步的研究表明，Ｃｈａｎｄｌｅｒ环中下弯月面处血栓的形成或许是因为流冲击下弯月面，使血小板和红细胞发生聚集所致。本文研究了竖直管中有限长液柱的粘性流体在磁场作用下的流动状况，应用有限差分方法进行了数值求解。计算结果表明，在适当的磁场强度下，管的下半部分管轴附近的轴向流速度较未加磁时有所减弱，从而减轻了流对下弯月面的撞击作用，可以有效地防止下弯月面处血栓的形成，而且磁场越强，这种减弱作用越明显，这一结果为进一步探求血栓的防治及其形成机制的实验研究有一定指导意义。The formatiom of thrombus is closely related to the hydrodynamical condi- tions. Chandler's experiment and further research shows that the cause thrombus formed in the lower meniscus may be that the fluid particals at relatively high speed strike on the lower menisucs leading to the gathering of platelet and red blood cells (RBC). This paper deals with the motion of viscous liquid column with finite length and two free surfaces in a vertical straight tube under the action of magnetic fields, numerical solution is obtained by the time-dependent method in a finite difference techniques. The results show that under the action of a proper magnetic field,the axial velocity at the lower meniscus near the axis will decrease strike on the lower meniscus will be reduced and then thrombus formation at the lower meniscus can be avoided. This result provides a guide to further experimental research on the mechanism of thrombus formation and me-dical treatment to thrombus

关 键 词：磁场 血栓 粘性流动 竖直管 液柱 

分 类 号：R318.01[医药卫生—生物医学工程]