湍流雷诺应力的本构关系

本文建立力学本构关系的本构公理和湎流运动特征，分析了雷诺应力与平均速度梯度之间的本构关系，得出了该雷诺应力表达式不具备适应各种边界条件的通用性，但在某些湍流或某些湎流区域具有存在条件的结论。文中还给出了适用条件的判断准则和计算方法。

The Constitutive Relation for Reynolds Stress of Turbulent Flow

In this paper the conditions suitable to the consitutive relation for Reynolds stress by the average velocity gradient are studied on the basis of the constitutive axiom and the characteristics of turbulent flow. The results show that the expression of Reynolds stress has no the universal form suitable for every boundary condition, but in some turbulent flow or in some regions of turbulence, it possesses the existing conditions of the constitutive relation. In addition, The criterion and the computing method of the condition suitable to the constitutive relation of Reynolds stress are given in the paper.