An Analytic Solution of Dense Two-Phase Flow in a Vertical Pipeline

Lin Duo-min; Tsai Shu-tang

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1990 > 11(12): 1027-1034

Lin Duo-min, Tsai Shu-tang. An Analytic Solution of Dense Two-Phase Flow in a Vertical Pipeline[J]. Applied Mathematics and Mechanics, 1990, 11(12): 1027-1034.

Citation:

Lin Duo-min, Tsai Shu-tang. An Analytic Solution of Dense Two-Phase Flow in a Vertical Pipeline[J]. Applied Mathematics and Mechanics, 1990, 11(12): 1027-1034.

Citation:

Lin Duo-min, Tsai Shu-tang. An Analytic Solution of Dense Two-Phase Flow in a Vertical Pipeline[J]. Applied Mathematics and Mechanics, 1990, 11(12): 1027-1034.

PDF( 520 KB)

An Analytic Solution of Dense Two-Phase Flow in a Vertical Pipeline

Lin Duo-min¹,
Tsai Shu-tang²

1.
Shanghai Inst. Appl. Math. Mech.; Shanghai University of Technology, Shanghai;
2.
University of Science and Technology of China, Hefei; Shanghai Inst. Appl. Math. Mech., Shanghai

Received Date: 1989-10-04
Publish Date: 1990-12-15

Abstract

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.
- dense two-phase flow,
- vertical pipe two-phase flow,
- two-phase flow analytical solution,
- two-phase flow model application

FullText(HTML)

References(6)

References

[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).