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Transient growth mechanisms of low Reynolds number flow over a low-pressure turbine blade

机译:低雷诺数流动的瞬态增长机制   低压涡轮叶片

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摘要

A direct transient growth analysis for three-dimensional perturbations toflow past a periodic array of T-106/300 low-pressure turbine fan blades ispresented. The methodology is based on a singular value decomposition of theflow evolution operator, linearised about a steady or periodic base flow. Thisanalysis yields the optimal growth modes. Previous work on global modestability analysis of this flow geometry showed the flow is asymptoticallystable, indicating a non-modal explanation of transition may be moreappropriate. The present work extends previous investigations into thetransient growth around a steady base flow, to higher Reynolds numbers andperiodic base flows. It is found that the notable transient growth of theoptimal modes suggests a plausible route to transition in comparison to modalgrowth for this configuration. The spatial extent and localisation of theoptimal modes is examined and possible physical triggering mechanisms arediscussed. It is found that for longer times and longer spanwise wavelengths, aseparation in the shear layer excites the wake mode. For shorter times andspanwise wavelengths, smaller growth associated with excitation of the nearwake are observed.
机译:提出了对三维扰动流过T-106 / 300低压涡轮风扇叶片的周期性阵列的直接瞬态增长分析。该方法基于流量演化算子的​​奇异值分解,围绕稳定或周期性基本流线性化。该分析产生最佳生长模式。以前对这种流动几何形状进行整体适度分析的工作表明,流动是渐近稳定的,这表明过渡的非模态解释可能更合适。本工作将先前的研究扩展到围绕稳定基流的瞬态增长,更高的雷诺数和周期性基流。发现最佳模式的显着瞬时增长表明,与该构型的模态增长相比,过渡似乎是可行的。研究了最佳模式的空间范围和局部性,并讨论了可能的物理触发机制。发现对于更长的时间和更长的展向波长,剪切层中的分离激发了唤醒模式。对于较短的时间和跨波长,观察到与近波激发相关的较小的增长。

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