基于 RSM 的带有热障涂层气膜孔参数优化的数值研究

In order to solve the problem that many factors may lead to the increase of calculation cost of optimizing air film cooling efficiency, a coupling model of flow angle, length-diameter ratio and coating thickness at three blowing ratios (0.5, 1.0 and 1.5) was reasonably designed by Box-Behnken design method. Realizable k-ε turbulence model was used for numerical simulation. Response Surface Methodology (RSM) was used to analyze the simulation results to obtain the response equation, finally the optimal parameters were predicted by the regression equation. Researches showed that flow angle and coating thickness are the main factors affecting the cooling efficiency of film holes with thermal barrier coating (TBC), and the length-diameter is the secondary factor affecting the cooling efficiency. The response equation was used to predict the optimization model with best film cooling efficiency. Within the studied blowing ratio range, the results showed that the film cooling efficiency of the optimized model was 55.45%− 90.95% higher than that of the reference, and the prediction error range of the response equation was 2.71%− 13.42% with higher accuracy.