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开发了基于三维非结构网格的导热求解程序,将数值解与解析解对比验证了加权最小二乘法相对于格林函数法在求解梯度时具有更高的精度,将基于加权最小二乘法的三阶精度的导热程序与叶栅流场计算程序HIT-3D耦合,实现了气热耦合计算,对MARKII叶片5411实验工况进行了数值模拟,并借助于HIT-3D程序具备的湍流模型研究了转捩对传热计算的影响。结果表明:BL模型预测的温度与实验值相差最大,在转捩点相差10%,BL+AGS转捩模型、SST-Gama模型、q-ω模型由于具备模拟转捩的能力,因此在转捩区计算的温度误差较小,约5%,可见考虑转捩的湍流模型能更好地预测涡轮叶片的温度。
The thermal solution procedure based on three-dimensional unstructured grid is developed. Comparing the numerical solution with the analytical solution, it verifies that the weighted least square method has higher precision than Green’s function method in solving the gradient. The third order based on the weighted least square method Accuracy of the thermal process and the cascade flow field calculation program HIT-3D coupled to achieve the calculation of heat and air coupling, the MARKII blade 5411 experimental conditions were numerically simulated, and with the HIT-3D program with the turbulence model to study the transition Effect on heat transfer calculation. The results show that the BL model predicts a maximum temperature difference from the experimental value, with a difference of 10% at the transition point. The BL + AGS transition model, the SST-Gama model and the q-ω model, due to their ability to simulate transition, The temperature error is small, about 5%, showing that the turbulence model considering the transition can better predict the turbine blade temperature.