摘要
本文应用紊流力学中圆管紊动微分方程式及普朗特关于总应力沿管径不变的假设,再考虑普朗特的混合长度理论,经过严密的数学推导,得到了一个新的圆管轴向紊流时均流速分布公式。这些公式由于保留了粘滞应力项,因而理论上比普朗特的圆管紊流公式更为合理。最后,基于上述分析,导出了牛顿流体圆管紊流顶替速度分布公式及界面位置计算公式。
Using the turbulence differential equation inturbulent mechanics, and Prandtl's hypothesis that shear stress is consrant radially as well as Pranstl's mixing length theory, through accurate mathematical deduction, this paper obtains a new time—averaged velocity distribution formula for the axial turbulent flow in pipe. Because of the existence of the viscous stress, the formulas are theoretically more rational than Prandtl's turbulent formulas in pipe. Based on the above analyses, this paper also presents the formulas for calculating the turbulence displacement velocity distributions and the interface positions in the pipe of Newtonian fluid.
出处
《西南石油学院学报》
CSCD
1993年第2期60-65,共6页
Journal of Southwest Petroleum Institute
