垂直管道中密相两相流动的解析解
An Analytic Solution of Dense Two-Phase Flow in a Vertical Pipeline
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摘要: 本文依据文献[1]的密相两相流动的数学模型,对垂直圆管中密相两相流动进行了解析求解,分别得到了连续相和分散相的速度解析表达式.在相间阻力与相间速度差成比例时,除了在离管壁面很近的薄区之外,管道流动规律与达西渗流定律完全一致.本文验证了文献[1]的密相两相流动数学模型的假定在本文情形下是合理的.Abstract: According to a mathematical model for dense two-phase flows presented in the previous pape[1],a dense two-phase flow in a vertical pipeline is analytically solved,and the analytic expressions of velocity of each continuous phase and dispersed phase are respectively derived.The results show that when the drag force between two phases depends linearly on their relative velocity,the relative velocity profile in the pipeline coincides with Darcy's law except for the thin layer region near the pipeline wall,and that the theoretical assumptions in the dense two-phase flow theory mentioned are reasonable.
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[1] 林多敏、蔡树棠,密相两相流基本方程组的封闭性和分散相在壁面处的剪应力,应用数学和力学,10,8(1989),649-656. [2] Michaelides,E.E.,A model for prediction of time-average quantities in fluid-solid mixtures,Arch.Mech.,36,3(1984),393-405. [3] 范正翘、陈越南,《多相流体力学与传热中的数值计算方法》,浙江大学力学系,杭州,全国物理化学流休为学讲习班(1984). [4] Pai.S,L,Two-phase Flow,Vieweg(1977). [5] Chapman,S.and T.G.Cowling,The Mathematical Theory of Non-Uniform Gases,Cambridge(1970). [6] Hinze,J.O.,Turbulence,McGraw-Hill Book Company(1975).
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