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首页> 外文会议>NCA-vol.32; American Society of Mechanical Engineers(ASME) International Mechanical Engineering Congress and Exposition; 20051105-11; Orlando,FL(US) >PREDICTIONS ON WALL PRESSURE FLUCTUATIONS OF A BACKWARD FACING STEP
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PREDICTIONS ON WALL PRESSURE FLUCTUATIONS OF A BACKWARD FACING STEP

机译：后向台阶壁压力波动的预测

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摘要

Time-mean flow fields and turbulent flow characteristics obtained from solving the Reynolds averaged Navier Stokes (RANS) equations with a k-ε turbulence model are used to predict the frequency spectrum of wall-pressure fluctuations for flow past a backward facing step. The linear source term of the governing fluctuating pressure equation is used in deriving the final double integration formula for the fluctuating wall pressure. The integrand includes the RANS mean-velocity gradient, modeled turbulence normal fluctuation, Green's function and the spectral model for the interplane correlation. An anisotropic distribution of the turbulent kinetic energy is implemented using a function named anisotropic factor. This function represents a ratio of the turbulent normal Reynolds stress to the turbulent kinetic energy and is developed based on an equilibrium turbulent flow or flows with zero streamwise pressure gradient. The spectral correlation model for predicting the wall-pressure fluctuations is obtained through modeling of the streamwise and spanwise wavenumber spectra. The non-linear source term in the original governing equation is considered following the conclusion of Kim's direct numerical simulation (DNS) study. Predictions of frequency spectra for the reattachment flow past a backward facing step (BFS) are investigated to verify the validity of the current modeling. Detailed turbulence features and wall-pressure spectra for the flow in the reattachment region of the BFS are predicted and discussed. The prediction results based on different modeling characteristics and flow physics agree with the observed turbulence field.
机译：通过用k-ε湍流模型求解雷诺平均Navier Stokes（RANS）方程获得的时均流场和湍流特性，可用来预测壁流压力波动的频谱，该壁压波动是朝后流动的。控制波动压力方程的线性源项用于得出波动壁压力的最终双积分公式。被积分包括RANS平均速度梯度，模拟的湍流法向涨落，格林函数和用于面间相关的谱模型。湍流动能的各向异性分布是使用称为各向异性因子的函数实现的。该函数表示湍流法线雷诺应力与湍流动能之比，并且是基于平衡湍流或具有零流向压力梯度的流来开发的。通过对流向和展向波数谱建模，获得了预测壁压波动的谱相关模型。根据Kim直接数值模拟（DNS）研究的结论，可以考虑原始控制方程中的非线性源项。研究了通过后向台阶（BFS）进行的重新连接流的频谱预测，以验证当前建模的有效性。预测并讨论了BFS重新连接区域中流动的详细湍流特征和壁压谱。基于不同建模特性和流物理学的预测结果与观测到的湍流场相吻合。

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