Multi-Parameters Sensitivity Analysis of Overall Cooling Effectiveness on Turbine Blade and Numerical Investigation of Internal Cooling Structures on Heat Transfer

Runzhou Liu, Haiwang Li, Ruquan You, Z. Tao
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Abstract

Turbine blade overall cooling effectiveness is a conjugate result under the influence of various parameters. In order to analyze the overall cooling effectiveness more accurately, we have to categorize all the influencing parameters. This paper builds a one-dimensional conjugate heat transfer model with four parameters which are adiabatic film cooling effectiveness, heat transfer coefficient ratio between blade external surface (hg) and internal surface (hi), internal coolant warming factor (Tg−Tw,iTg−Tc), Biot number. The effects of different internal cooling structures, film hole inclined angle and blowing ratio on flow and heat transfer characteristic were numerically investigated based on flat-plate film hole model and impingement-effusion model, where 3-D steady RANS method with SST k-ω model was used. V-rib, 45° inclined rib, 90° rib and dimple were adopted to compare with smooth internal channel. The results show that four dimensionless parameters (adiabatic film cooling effectiveness, heat transfer coefficient ratio, warming factor, Biot number) are positively correlated with overall cooling effectiveness. The overall cooling effectiveness is the most sensitive to adiabatic film cooling effectiveness, followed by warming factor. This indicates that the adiabatic film cooling effectiveness is the worthiest to improve. The numerical results show that the ribs and dimple structures have little influence on the distribution of adiabatic film cooling effectiveness and Biot number on the mainstream side. The 45° rib presents higher overall cooling effectiveness.
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涡轮叶片整体冷却效率的多参数敏感性分析及内部冷却结构对传热的数值研究
涡轮叶片整体冷却效率是各参数影响下的共轭结果。为了更准确地分析整体冷却效果,我们必须对所有影响参数进行分类。本文建立了包含绝热膜冷却效率、叶片外表面换热系数hg与内表面换热系数hi、内冷却剂变暖系数Tg−Tw、iTg−Tc、Biot数等4个参数的一维共轭传热模型。采用基于SST k-ω模型的三维稳态RANS方法,基于平板膜孔模型和撞击-射流模型,数值研究了不同内冷结构、膜孔倾斜角度和吹气比对流动和换热特性的影响。采用v形肋、45°斜肋、90°肋和凹槽与光滑内槽进行对比。结果表明:4个无量纲参数(绝热膜冷却效率、换热系数比、升温系数、Biot数)与整体冷却效率呈正相关;整体冷却效果对绝热膜冷却效果最敏感,其次是变暖因子。这说明绝热膜的冷却效果是最值得改进的。数值计算结果表明,肋和窝结构对主流侧绝热膜冷却效率和Biot数的分布影响不大。45°肋面呈现更高的整体冷却效果。
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