二维不可压内流湍流附面层分离流的预测

Prediction of 2-D Incompressible Turbulent BoundaryLayer Separation

本文采用适合于内流的准同时粘性/无粘性流匹配模型,快速求解二维通道内的不可压湍流附面层分离流动。无粘流采用由复变函数论的Plemeli公式推导的面元法;粘性流动区采用Head积分法求解。文中给出了两个算例。结果表明:所采用的准同时粘性/无粘性流匹配模型,不但可有效地克服分离形成的奇异性,而且收敛速度快,稳定性好。在湍流分离阶段,其预测结果与实验值基本吻合。文中还讨论了形状因子及表面摩擦系数关系式对预测结果的影响,形状因子经验关系对预测有比较明显的影响,而表面摩擦系数经验关系对预测无显著影响。文中还提出了改进模型的方向。

A new quasi-simultaneous viscous/inviscid interaction model was used to predict two-dimensional incompressible turbulent boundary-layer separation flows in internal chan-nels. The inviscid flow was calculated by using a special panel method developed by Plemelj formula in the complex function. The viscous flow was calculated by using boundary-layer integral equations. Two cases of the turbulent boundary-layer separation are predicted. The calculation shows that the adopted model is faster in convergence but also better in stabili- ty. The singularity due to separation is overcome elhcrently. Agreement with tne experi-mental data in the sparation stage is quite good. The influence of shape factor relation H1 =H1(H) on the prediction is more significant,while the skin friction relation shows little influence on the prediction.