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Analysis of heat transfer on turbulence-generating ribs using dynamic mode decomposition

机译:动态模态分解法分析湍流肋的传热

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摘要

Ducts with turbulence-promoting ribs are common in heat transfer applications and can often found in the form of serpentine channels in gas turbine blades. This study uses a recent modal extraction technique called Dynamic Mode Decomposition (DMD) to determine mode shapes of the spatially and temporally complex flowfield inside a square ribbed (45 degree) duct at Reynolds number 32,400. One subject missing from current literature is a method of directly linking a mode to a certain engineering quantity of interest. Presented is a generalized methodology for producing such a link utilizing the data from the DMD analysis. Exciting the modes which are identified may cause the flow to change in such a way to promote the quantity of interest, in this case, heat transfer. This theory is tested by contouring the walls of the duct using the extracted mode shapes. An initial, unmodified geometry provides a baseline for comparison to later contoured models. The initial case is run as a steady-state RANS model. LES generates the necessary data for the DMD analysis. Several mode shapes extracted from the flow are applied to the duct walls and run again in the RANS model, then compared to the baseline, and their relative performance examined.
机译:带有湍流肋的风管在传热应用中很常见,并且经常以燃气涡轮机叶片中的蛇形通道形式出现。这项研究使用一种称为动态模式分解(DMD)的最新模式提取技术来确定雷诺数为32,400的方肋(45度)管道内时空复杂的流场的模式形状。当前文献中缺少的一个主题是一种将模式直接链接到感兴趣的特定工程量的方法。提出了一种利用来自DMD分析的数据来产生这种链接的通用方法。识别出的令人兴奋的模式可能会导致流量发生变化,从而增加感兴趣的数量(在这种情况下为传热)。通过使用提取的模式形状绘制出管道壁的轮廓来测试该理论。初始的未经修改的几何体提供了与以后的轮廓模型进行比较的基准。最初的情况是作为稳态RANS模型运行的。 LES生成DMD分析所需的数据。从流中提取的几种模式形状应用于管道壁并在RANS模型中再次运行,然后与基线进行比较,并检查其相对性能。

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