发展流动与形成流动

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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.

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