上游壁面粗糙度对前台阶分离和再附着流动的影响

S. Kumahor, Xingjun Fang, W. Ediger, M. Tachie
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摘要

采用时间分辨粒子图像测速技术研究了在光滑和粗糙壁面上形成的厚湍流边界层中,由前向台阶引起的湍流分离和再附着。研究了光滑和完全粗糙的上游底壁条件,得到的迎面层厚度分别是台阶高度的4.3倍和6.7倍。基于台阶高度和自由流速度的雷诺数为7800。讨论了在直角坐标系和曲线坐标系下的平均速度、雷诺应力、涡流粘度、相关系数和三阶矩。结果表明,在完全粗糙的情况下,由于湍流强度和剪切速率的增强,垂直和剪切雷诺应力的明显升高区域在台阶前缘上游一致,而雷诺应力的大小始终高于光滑情况。在全粗糙条件下,相关系数、涡动粘度和三阶矩在台阶前缘上游也表现出明显的升高区。在台阶以上,两种情况下都观察到明显的雷诺应力、涡流粘度和相关系数的升高区域,其峰值在垂直位置对应于平均分离流线的最大高程。
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The Effects of Upstream Wall Roughness on Separated and Reattached Flows Over a Forward-Facing Step
Separating and reattaching turbulent flows induced by a forward-facing step submerged in thick oncoming turbulent boundary layers developed over smooth and rough walls were investigated using time-resolved particle image velocimetry. Both smooth and fully rough upstream bottom wall conditions were examined and the resultant oncoming boundary layer thickness were 4.3 and 6.7 times the step height, respectively. The Reynolds number based on the step height and free-stream velocity was 7800. The mean velocities, Reynolds stresses analyzed in both Cartesian and curvilinear coordinate systems, eddy viscosity, correlation coefficient and third order moments are discussed. The results indicate that, due to the enhanced turbulence intensity and shear rate in the fully rough case, distinct elevated regions of vertical and shear Reynolds stresses are consistent upstream of the leading edge of the step while the magnitude of the Reynolds stresses are consistently higher than observed in the smooth case. The correlation coefficient, eddy viscosity and third order moments also show distinct elevated regions upstream of the leading edge of the step in the fully rough case. Above the step, distinct elevated regions of the Reynolds stresses, eddy viscosity and correlation coefficient are observed in both cases with the peak values at a vertical location corresponding to the maximum elevation of the mean separating streamline.
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