Effect of Inlet Mach Number on Aerothermodynamics of Sealing Leakage Flow Cooling on Endwall

Hongyu Gao, Xueying Li, Jing Ren, Hongde Jiang
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Abstract

The gas turbine has an assembly gap between the combustion chamber and the first stage vane. The coolant air discharge from the gap can prevent the ingestion of the high temperature gas. This leakage flow also provides a cooling coverage on the vane endwall. Taking the cooling effect of the leakage flow on the endwall into consideration is very important for an efficient cooling design. In this paper, the cooling effect of leakage flow on endwall is studied by means of experimental and numerical methods. The study included slots at 30°, 45°, and 60° angles, and six blowing ratios of 0.3, 0.6, 1.0, 1.4, 1.7, and 2.0. The experiment and numerical calculation are conducted under the condition that the inlet Mach number is 0.125 and the outlet Mach number is 0.72, which is close to the working Mach number of the real gas turbine. Under the same slot inclination and blowing ratio, the distribution of endwall adiabatic cooling effectiveness is more nonuniform under the condition of near-real engine Mach number. This is because the passage vortex is weaker under the low Mach number condition, and the leakage flow has a better wall attachment effect. In terms of the spanwise average of endwall adiabatic cooling effectiveness, when the blowing ratio is small, the adiabatic cooling effectiveness is lower under the condition of near-real engine Mach number than that under the condition of low Mach number, but the opposite is true under the condition of large blowing ratio. This is because under the condition of large blowing ratio, the turbulence is stronger under the condition of Mach number of near-real engine. With the reduction of blowing ratio, the turbulent kinetic energy weakens more strongly. In the studied cases, there is a critical blowing ratio of 1.0, and the total endwall cooling adiabatic cooling effectiveness is not significantly affected by the Mach number when it is smaller than M1.0. The average adiabatic cooling effectiveness of the endwall under the condition of near-real engine Mach number is about 7% lower than that under the condition of low Mach number. It means that the experimental results of leakage flow cooling obtained under the condition of low inlet Mach number need to be corrected by a correction factor, which may be less than 1 to make it engine relevant.
入口马赫数对端壁密封泄漏流冷却气动热力学的影响
燃气轮机在燃烧室和第一级叶片之间有一个装配间隙。从间隙排出的冷却液空气可以防止高温气体的吸入。这种泄漏流也在叶片端壁上提供了冷却覆盖。考虑泄漏流对端壁的冷却作用对于有效的冷却设计是非常重要的。本文采用实验和数值方法研究了泄漏流对端壁的冷却效果。研究包括30°,45°和60°角的槽,以及0.3,0.6,1.0,1.4,1.7和2.0的六种吹风比。实验和数值计算是在进口马赫数为0.125,出口马赫数为0.72的条件下进行的,接近真实燃气轮机的工作马赫数。在相同的狭缝倾角和吹气比下,接近真实发动机马赫数条件下的端壁绝热冷却效率分布更加不均匀。这是因为在低马赫数条件下通道涡较弱,泄漏流具有较好的壁面附着效果。从端壁绝热冷却效率的展向平均值来看,当吹气比较小时,近真实发动机马赫数条件下的绝热冷却效率低于低马赫数条件下的绝热冷却效率,而在大吹气比条件下则相反。这是因为在大吹比条件下,近真实发动机马赫数条件下的湍流更强。随着吹气比的减小,紊流动能减弱更强烈。在所研究的情况下,临界吹气比为1.0,当马赫数小于M1.0时,总端壁冷却绝热冷却效果不受马赫数的显著影响。近真实发动机马赫数条件下的端壁平均绝热冷却效率比低马赫数条件下的平均绝热冷却效率低7%左右。这意味着在低进口马赫数条件下得到的泄漏流冷却实验结果需要通过一个修正因子进行修正,该修正因子可能小于1,以使其与发动机相关。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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