发展流动与形成流动
Developing Flows and Developed Flows
-
摘要: 本文着重研究振荡状态下的管流问题.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,得出了一组描述圆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.Abstract: This paper puts emphasis on the problem of the developing flows in the circular tube under oscillatory conditions.According to the Navier-Stokes' equation and using the method of Bessel function of imaginary argument, a system of formulas is obtained.Comparing the formulas obtained in this paper with A tabek's formulas, it may be seen that the former is simpler and more convenient.When both the formulas obtained in this paper and A tabek's formulas are reduced to the representation of developed flows, both of them are consistent.Numerical calculation results show that the computed results obtained in this paper are rather consistent with both A tabek's computed results and the experimental results.
-
[1] Тарг С.м.,Осиоэыс Забача Теории Ламинарных Течении,Госуцаретвенное издателъство технике-теорстической литсратуы(1981) [2] Atabek,H.B.,and C.C.Chang,Oscillatory flow near the entry of a circular tube,Z.Angew.Math.Phys.,12(1961),185-201. [3] McDonald,D.A.,Blood Flow in Arteries,Edward Arnold Ltd(1974). [4] 冯元祯,《生物力学》,科字出版社(1983). [5] Atabek,H.B.,C.C.Chang and L.M.Fingerson,Measurement of laminar oscillatory flow in the inlet length of a circular tube,Phys.Med.Biol.,9,2(1964),219-227． -
点击查看大图
计量
- 文章访问数: 1548
- HTML全文浏览量: 44
- PDF下载量: 546
- 被引次数: 0
下载:
