The transition in the boundary-layer flow affects the hydrodynamic performances of hydraulic machineries, as the key components in the ship propulsion system. The shear stress transfer (SST) γ-Re_θt transition model is an important prediction tool in the boundary layer simulation for hydrofoils. The present paper improves the prediction accuracy of the SST γ-Re_θt model for the boundary layers along a curved hydrofoil. The SST γ-Re_θt transition model for the flows along a curved hydrofoil is improved by introducing a correction to the transition onset Reynolds number Re_θt. First, the transition onset locations for the flows along the hydrofoils of different curvatures are obtained by the large eddy simulation and by using the SST γ-Re_θt model. Then, the transition onset Reynolds numbers Re_θt in the SST γ-Re_θt model is modified to ensure that the predicted boundary layer parameters are consistent with the large eddy simulation (LES) results. The correlation function between the curvature ratio and the modified transition onset Reynolds number is obtained and subsequently used as a correction function in the original SST γ-Re_θt model. Three test cases are used to evaluate the performance of the improved SST γ-Re_θt model. For the NACA0035 hydrofoil with a large curvature, the predicted results obtained by using the improved SST γ-Re_θt model are quite consistent with the experimental data, which indicates the advantages of the improved model in predicting the boundary layer transition along a hydrofoil. In the test cases of the NACA0016 hydrofoil with a mild curvature and the NACA66(mod)-312 hydrofoil, the prediction results of the improved model are in good agreement with the experimental results in terms of the wake region and the boundary layer parameters, which indicates that the improved SST γ-Re_θt model can serve as a powerful tool in the design and the optimization of hydraulic machineries such as the waterjet pumps or the naval propellers.

作为船舶推进系统关键部件的水力机械，边界层流动的转变影响着水力机械的水动力性能。剪应力传递 (SST) γ-Re _θt过渡模型是水翼边界层模拟中的重要预测工具。本文提高了 SST γ-Re _θt模型对沿弯曲水翼的边界层的预测精度。通过引入对过渡起始雷诺数Re _θt的校正，改进了沿弯曲水翼流动的 SST γ-Re _θt过渡模型. 首先，通过大涡模拟和使用 SST γ-Re _θt模型获得沿不同曲率水翼流动的过渡起始位置。然后，修改SST γ-Re _θt模型中的过渡起始雷诺数Re _θt，以确保预测的边界层参数与大涡模拟 (LES) 结果一致。获得曲率比和修正过渡起始雷诺数之间的相关函数，随后用作原始 SST γ-Re _θt模型中的校正函数。三个测试用例用于评估改进的 SST γ-Re _{θt 的性能}模型。对于大曲率的NACA0035水翼，采用改进的SST γ-Re _θt模型得到的预测结果与实验数据非常吻合，表明改进模型在预测沿水翼边界层过渡方面的优势。在 NACA0016 小曲率水翼和 NACA66(mod)-312 水翼的测试案例中，改进模型的预测结果与实验结果在尾流区域和边界层参数方面具有较好的一致性。表明改进的 SST γ-Re _θt模型可以作为设计和优化水力机械（如水射流泵或海军螺旋桨）的有力工具。