两相混合流体的非线性本构理论

A NONLINEAR CONSTITUTIVE THEORY FOR MIXTURE OFTWO-PHASE FLUIDS

本文从连续介质力学的基本原理出发,建立了微极流体与经典流体两相流动的非线性扩散理论。给出了混合流体本构方程的一般形式。对单相流体、单相微极流体及稀悬浮体三种特殊情形,得到了具体形式的二阶非线性本构方程,并同已有的理论进行了比较。

A nonlinear diffusion theory of two-phase mixture fluids has been discussed under the constitutive principles of continuum mechanics, where one phase is micropolar fluid, another is classical fluid. Both the two components are supposed to be rate-type simple material with second-order complexity for the translation and first-order for the micro-rotation. The general form of constitutive equations for the mixture motion is derived. As special cases, the second-order nonlinear constitutive equations for each single-phase fluid and for dilute suspension flow are given in detail and compared with known theories.