血液流动与血管壁运动
The Blood Flow and the Motion of Vessel Wall
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摘要: 本文讨论了哺乳动物循环系统的血液流动与血管壁运动之间的相互作用问题.在假定流动处于稳定的振荡流动情况下,导得了一组血液流动速度分布公式,压力分布公式以及约束应力公式,管壁位移公式.把Kuchar的公式从定常流动情况推广到非定常的振荡流动情况.文中还讨论了动脉血管壁的弹性效应问题.Abstract: The correlation problem between the blood flow and the motion of vessel wall in the mammalian circulatory system is discussed in this paper.Supposing the blood flow is under the stable oscillatory condition,a set of formulas for velocity distribution,pressure distribution,displacement of vessel wall and constraining stress are obtained.Kuchar's formulas are extended from steady flow to unsteady oscillatory flow by means of the formulas obtained in this paper.The problem of elasticity effect of vessel wall is also discussed.
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[1] Kuchar,N,R.and S.Ostrach,Flows in the entrance regions of circular elastic tubes,Biomedical Fluid Dynamics Symposium,ASME,New York(1966),45-69. [2] Goldstein,S.,Modern Developments in Fluid Dynamics,Vol.1,Clarendow Press,Oxford.England(1938). [3] Flgge,W.,Stresses in Shells,Springer-Verlag,Berlin(1962). [4] McDonald,D.A.,Blood Flow in Arteries,Edward Arnold Ltd.(1974). [5] 岑人经,粘性流体在圆管入口区域内的振荡流动,华南工学院学报,12(1984),63-75. [6] Womersley,J.R.,An elastic tube theory of pulse transmission and oscillatory flow on mammalian arteries,Wright Air Development Center Technical Report,WADC-TR 56-614(1957),113-113. [7] Atabek,H.B.,End Effects,Pulsatile Blood Flow,Ed.by E.O.Attinger,McGraw-Hill(1964),201-220. -
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