血液循环系统中入口流动问题的研究

STUDY ON THE PROELEMS OF ENTRANCE FLOW IN THE BLOOD CIRCULATORY SYSTEM

本文着重研究振荡状态下动脉血管的入口流动问题。从基本的Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程出发，进行线性化之后采用虚宗量Ｂｅｓｓｅｌ函数的方法求解，得出了一组描述血管振荡状态下发展流动的速度分布、压力分布公式。它们较之Ａｔａｂｅｋ等人推导的公式更为简明和易于计算。并且，在相同的条件下简化为形成流动的表达式后，两者的公式完全一致。数值计算还表明，本文公式的理论结果无论是和Ａｔａｂｅｋ等人的理论计算结果比较，还是和他们的实验结果比较，都是相当一致的。

This paper puts en1phasis on the problems of the entrance flow in thearteries under oscillatory conditions.According to the Navier-Stokes' equations and using themethod of Bessel function of imaginary argument,a system of foimulas is obxained.Comparing the formulas obtained in this paper with Atabek’ s formulas it may be seen thatthe foimer is simpler and more convenient.When both the foimulas obtained in this paperand Atabek’s formulas are reduced to the representation of developed flows,both of them areconsistent.Numerical calculation results show that the computed results obtained in thispaper are rather consistent with both Atabek’s computed results and the experimentalresults.