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

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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.

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