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

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

A Closed System of Equations for Dense Two-Phase Flow and Expressions of Shearing Stress of Dispersed Phase at a Wall

1.
Shanghai Institute of Applied Math, and Mech., Shanghai;
2.
Dept. of Modern Mech., Univ. of Sci. and Tech. of China, Hefei;Shanghai Institute of Applied Math, and Mech., Shanghai

摘要: 本文对将连续相和分散相分别作连续介质考虑的两相流基本方程组,通过分析密相下两相流动的物理机制,提出了分散相的应力满足宾汉流体的本构方程,并用分散相在壁面处剪应力作为分散相的一个边界条件,从而得到了一个封闭的处理密相系统的两相流数学模型.最后,还讨论了分散相在壁面处剪切力的表达式.

Abstract: Inthis paper, each of the two phases in dense two-phase flow is considered as continuous medium and the fundamental equations for two-phase flow arc described in Eulerian form. The generalized constitutive relation of the Bingham fluid is applied to the dispersed phase with the analysis of physical mechanism of dense two-phase flow. The shearing stress of dispersed phase at a wall is used to give a boundary condition. Then a mathematical model for dense two-phase flow is obtained. In addition, the expressions of shearing stress of dispersed phase at a wall is derived according to the fundamental model of the friclional collision between dispersed-plutse particles and the wall.

[1]	Crowe,C,T Review——Numerical models for dilute gas-particle flows,Journal of Fluids Engineering,104(1982),297-303.
[2]	蔡树棠、范正翘、陈越南,两相流基本方程,应用数学和力学,7,6(1985),477-485.
[3]	蔡树棠,泥沙在动水中的沉淀运动I,物理学报,13,5(1957),388-398.
[4]	蔡树棠,泥沙在静水中的沉淀运动I,物理学报,12,5(1356),402-408.
[5]	Green,H,S The Molecular Theorg of Fluids,Amsterdam(1952).
[6]	王竹溪,《统计物理学导论》,人民教育出版社(1979).
[7]	蔡树棠、蒋贻安,宾汉流体与塞流的衔接问题,应用数学和力学,8,3(1987),196-198.
[8]	林多敏、蔡树棠,密两相流的数学模型在管道流动中的应用(待发表).
[9]	林多敏,密相流动的本构关系和边界条件及其在团管流动中的应用,中国科学技术大学硕士论文(1987).

点击查看大图