可压缩修正的 γ-Re_θt 转捩模型在叶轮机械中的应用

Two compressibility corrected methods developed from the original γ-Re_θt transition model were applied to predict the boundary layer transition in the internal flow of turbomachinery. Considering the Mach number and temperature, the first method corrected the functional relationship between the vorticity Reynolds number (Re_v) and the momentum thickness Reynolds number (Re_θ) in the boundary layer. Subsequently, it employed the compressible Reynolds number analogy relation f_Re to correct the original incompressible transition correlation function. The second method accounted for the influence of high-Mach number effects on the pressure gradient parameter and the variability of turbulent Prandtl number in real flow, and corrected these two parameters accordingly. The two corrected methods were implemented on our team's in-house solver, and transition predictions were conducted using three typical turbomachinery cases, followed by a comparative analysis with the original transition model. The results indicated that in the internal flow of turbomachinery, the first correction method showed a significant improvement, while the second one exhibited little difference from the original model. However, when dealing with the boundary layer transition induced by flow separation, both methods yielded predictions that were nearly identical to those of the original model.