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Effects of frontal and plan solidities on aerodynamic parameters and the roughness sublayer in turbulent boundary layers

机译:锋面和平面固体对湍流边界层空气动力学参数和粗糙度子层的影响

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摘要

Experiments were conducted in the fully rough regime on surfaces with large relative roughness height (h/δ ≈ 0.1, where h is the roughness height and δ is the boundary layer thickness). The surfaces were generated by distributed LEGO® bricks of uniform height, arranged in different configurations. Measurements were made with both floating-element drag balance and high-resolution particle image velocimetry on six configurations with different frontal solidities, λF, at fixed plan solidity, λP, and vice versa, for a total of twelve rough-wall cases. The results indicated that the drag reaches a peak value λF ≈ 0.21 for a constant λP 0.27, while it monotonically decreases for increasing values of λP for a fixed λF = 0.15. This is in contrast to previous studies in the literature based on cube roughness which show a peak in drag for both λF and λP variations. The influence of surface morphology on the depth of the roughness sublayer (RSL) was also investigated. Its depth was found to be inversely proportional to the roughness length, y0. A decrease in y0 was usually accompanied by a thickening of the RSL and vice versa. Proper orthogonal decomposition (POD) analysis was also employed. The shapes of the most energetic modes calculated using the data across the entire boundary layer were found to be self-similar across the twelve rough-wall cases. However, when the analysis was restricted to the roughness sublayer, differences that depended on the wall morphology were apparent. Moreover, the energy content of the POD modes within the RSL suggested that the effect of increased frontal solidity was to redistribute the energy towards the larger scales (i.e. a larger portion of the energy was within the first few modes), while the opposite was found for variation of plan solidity.
机译:在相对粗糙度高度较大的表面(h /δ≈0.1,其中h为粗糙度高度,δ为边界层厚度)上以完全粗糙的方式进行实验。这些表面由高度均匀分布的LEGO®分布的砖块生成,并以不同的配置进行排列。使用浮动元素阻力平衡和高分辨率粒子图像测速仪对六种配置进行了测量,这些配置具有不同的正面硬度λF和固定平面硬度λP,反之亦然,共计十二种粗糙壁情况。结果表明,对于恒定的λP0.27,阻力达到峰值λF≈0.21,而对于固定的λF= 0.15,当λP增大时,阻力单调减小。这与以前的基于立方粗糙度的文献研究相反,后者基于λF和λP变化均显示出阻力峰值。还研究了表面形态对粗糙度子层(RSL)深度的影响。发现其深度与粗糙度长度y0成反比。 y0的降低通常伴随着RSL的增厚,反之亦然。还采用了正确的正交分解(POD)分析。发现使用整个边界层上的数据计算出的最强模式的形状在十二个粗糙壁情况下是自相似的。但是,当分析仅限于粗糙度子层时,明显的差异取决于壁的形态。此外,RSL内POD模式的能量含量表明,额叶固体密度增加的作用是将能量重新分配到更大的尺度(即,大部分能量在前几个模式内),而发现相反的情况计划稳定性的变化。

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