Evaluation of RANS Turbulence Models for Prediction of Lateral Film Cooling Effectiveness at Low Blowing Ratios

Pasan Sanjeeva, E.G.D.R. Thilakarathna, Chanaka Mallikarachchi, Chathura Ranasinghe
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Abstract

Accuracy of numerical predictions of film cooling performance is vital to investigate for designing and analyzing film cooling technology. Three RANS turbulence models of Standard k-$\varepsilon$ (SKE), Standard k-$\omega$ (SKW) and Shear Stress Transport methods (SST k-$\omega$) were selected and used to simulate low blowing ratio cases ($\mathrm{M} < 1$). The three blowing ratio of 0.2, 0.5 and 0.7 were produced using an inclined cylindrical hole of 30 degree made on a flat plate. ANSYS CFX solver was used to simulate the selected experimental cases with density ratio (DR) of 1.8. The numerical results of the three turbulence models under the blowing rate of 0.2 have not captured the lateral distribution of coolant correctly. SKW under the blowing rate of 0.5 have accurately predicted the effectiveness in mixing region. Centerline adiabatic effectiveness generated by SKW model was in a good agreement with experimental results for the blowing rate of 0.5. For the blowing rate of 0.2, the centerline effectiveness were best predicted by the SST model while SKW and SKE models can be used to predict the adiabatic effectiveness with considerable accuracy in lateral direction in the region of $\mathrm{X}/\mathrm{D} < 10$.
低吹风比下RANS湍流模型对侧气膜冷却效果预测的评价
气膜冷却性能数值预测的准确性对于气膜冷却技术的设计和分析至关重要。选择Standard k- $\varepsilon$ (SKE)、Standard k- $\omega$ (SKW)和剪切应力输运方法(SST k- $\omega$)三种RANS湍流模型,分别模拟了低吹比情况($\mathrm{M} < 1$)。在平板上做一个30度的倾斜圆柱孔,产生0.2、0.5和0.7的三次吹气比。采用ANSYS CFX求解器对所选密度比(DR)为1.8的实验案例进行模拟。在风速为0.2时,三种湍流模型的数值结果都不能正确地反映冷却剂的横向分布。在吹气率为0.5的情况下,SKW能准确预测混合区的效果。在吹气率为0.5时,SKW模型计算的中心线绝热效率与实验结果吻合较好。当风速为0.2时,SST模型对中心线效能的预测效果最好,而SKW和SKE模型对$\mathrm{X}/\mathrm{D} < 10$区域横向绝热效能的预测精度较高。
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