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
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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。Abstract: The formation of thrombus is closely related to the hydrodynamical conditions.Chandler's experiment and further research shows that the cause thrombus formed inthe lower meniscus may be that the fluid particles at relatively high speed strike on thelower meniscus leading to the gathering of platelet and red blood cells(RBC).Thispaper deals with the motion of viscous liquid column with finite length and two freesurfaces in a vertical straight tube under the action of magnetic fields,numericalsolution is obtained by the time-dependent method in a finite difference technipues.The results show that under the action of a proper magnetic field. the axial velocity atthe lower meniscus near the axis will decrease. strike on the lower meniscus will bereduced and then thrombus formation at the lower meniscus can be avoided.Thisresult provides a guide to further experimental research on the mechanism of thrombusformation and medical treatment to thrombus.
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Key words:
- the action of magnetic fields /
- thrombus /
- viscous flow
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