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Efficient Computational Model for Nonaxisymmetric Flow and Heat Transfer in Rotating Cavity

机译:旋转腔内非轴对称流动和传热的高效计算模型

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摘要

Existence of large scale unsteady flow structures manifested in contrarotating vortex pairs has been previously identified in rotor disk cavities. The nonaxisymmetric nature with an unknown number of vortices presents a computational challenge, as a full 360 deg circumferential domain will be needed, requiring significant computational resources. A novel circumferential spatial Fourier spectral technique is adopted in the present work to facilitate efficient computational predictions of the nonaxisymmetric flows. Given that the flow nonuniformities in the circumferential direction are of large length scales, only a few circumferential Fourier harmonics would be needed, resulting in a drastic reduction in number of circumferential mesh points to be required. The modeling formulations and implementation aspects will be described. Computational examples will be presented to demonstrate the validity and effectiveness of the present modeling approach. The computational results show that the nonaxisymmetric flow patterns, in terms of the number of vortex pairs, are sensitive to small scale external disturbances. It is also indicated that the occurrence of a nonaxisymmetric flow might be captured by the present Fourier solution with even one harmonic.
机译:先前已经在转子盘腔中发现了以反向旋涡对形式存在的大规模非定常流动结构。涡旋数未知的非轴对称性质提出了计算难题,因为将需要完整的360度圆周域,这需要大量的计算资源。在本工作中采用了一种新颖的圆周空间傅里叶谱技术,以促进非轴对称流的有效计算预测。考虑到沿周向的流动不均匀性是大的长度尺度,则仅需要几个周向傅立叶谐波,从而导致所需的周向网格点的数量大大减少。将描述建模公式和实现方面。将提供计算示例以证明本建模方法的有效性和有效性。计算结果表明,就涡流对的数量而言,非轴对称流动模式对小规模的外部扰动敏感。还表明,即使存在一个谐波,本发明的傅里叶解也可以捕获非轴对称流动的发生。

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