代数应力模式的分析解及其在充分发展旋转管流中的应用

本文通过求解雷诺应力在代数应力模式中与平均速度梯度之间的分析关系，研究了代数应力模式在涡旋流动特别是在充分发展旋转管流中存在的内在缺陷，这些缺陷的主要表现为：（１）在不考虑固壁对湍流影响的代数应力模式中，分析解给出Ｗ∝ｒ和ｖｗ＝０的错误结论；（２）若在代数应力模式中考虑固壁对湍流影响，在对称轴上会有ｖ＾２不等于ｗ＾２的非物理解。与诺应力输运模式相比，代数应力模式的缺陷归限结底在于该模式的基本假设不

Application of the Analytical Solution of ASM Equations in Fully-Developed Rotating Pipe Flows

through the analytical solution of the ASM equatipns with minimal linearization assumption, the present work is able to obtain the analytical relation between the Reynolds stresses and mean velocity gradients. Application of this solution in the fully-developed rotating pipe flow shows that the ASM suffers from two major defects; (a) the analytical solution gives rigid-body-rotation solution if the wall reflection influence is neglected* in contrary to measurements; (b) the symmetry behaviour of turbulence will lose if the reflection model is included. This study thus concludes that the ASM is not appropriate for applications if rotation or swirling is important.