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arXiv 2104.00882physics.flu-dynphysics.data-an
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用高空间分辨率PIV研究零压和逆压梯度湍流边界层中的大尺度运动

Investigation of Large Scale Motions in Zero and Adverse Pressure Gradient Turbulent Boundary Layers Using High-Spatial-Resolution PIV

Muhammad Shehzad, Bihai Sun, Daniel Jovic, Yasar Ostovan, Christophe Cuvier, Jean-Marc Foucaut, Christian Willert, Callum Atkinson, Julio Soria

摘要:

在LMFL高雷诺数边界层风洞中,采用高空间分辨率(HSR)双分量二维粒子图像速度场仪(2C-2D PIV)对零压力梯度(ZPG)湍流边界层(TBL)和逆压力梯度(APG)湍流TBL进行了测量。ZPG-TBL具有基于动量-厚度的雷诺数$Re_{δ_2} = δ_2 U_e/ν= 7,750$,而APG-TBL具有$Re_{δ_2} = 16,240$和Clauser压力梯度参数$β= δ_1 P_x/τ_w = 2.27$。(Soria,1996),利用内部软件,对数据进行适当的正交分解(POD),以将流场分离成大尺度和小尺度运动(LSM和SSM),LSM进一步分为高动量事件和低动量事件。有条件平均雷诺应力的轮廓表明,高动量事件比低动量之间的壁的日志层的端部和尾流区的情况相反,对雷诺应力的贡献更大。高动量和低动量LSM的雷诺应力剖面的交叉点总是具有比相同壁法线位置处的原始系综的相应雷诺应力更高的值。此外,在APG-TBL中的交叉点比在ZPG-TBL中更远离壁移动。通过使用最小二乘模型去除速度场,从剩余速度场中估计的雷诺流向应力和雷诺剪切应力减少了ZPG-TBL中的$42 \%$。在APG-TBL中观察到的还原效应甚至更大(高达$50\%$)。然而,去除这些LSM对ZPG和APG-TBL中的雷诺壁法向应力的影响极小。

英文摘要:

High-spatial-resolution (HSR) two-component, two-dimensional particle-image-velocimetry (2C-2D PIV) measurements of a zero-pressure-gradient (ZPG) turbulent boundary layer (TBL) and an adverse-pressure-gradient (APG)-TBL were taken in the LMFL High Reynolds number Boundary Layer Wind Tunnel. The ZPG-TBL has a momentum-thickness based Reynolds number $Re_{δ_2} = δ_2 U_e/ν= 7,750$ while the APG-TBL has a $Re_{δ_2} = 16,240$ and a Clauser's pressure gradient parameter $β= δ_1 P_x/τ_w = 2.27$ After analysing the single-exposed PIV image data using a multigrid/multipass digital PIV (Soria, 1996) with in-house software, proper orthogonal decomposition (POD) was performed on the data to separate flow-fields into large- and small-scale motions (LSMs and SSMs), with the LSMs further categorized into high- and low-momentum events. Profiles of the conditionally averaged Reynolds stresses show that the high-momentum events contribute more to the Reynolds stresses than the low-momentum between wall to the end of the log-layer and the opposite is the case in the wake region. The cross-over point of the profiles of the Reynolds stresses from the high- and low-momentum LSMs always has a higher value than the corresponding Reynolds stress from the original ensemble at the same wall-normal location. Furthermore, the cross-over point in the APG-TBL moves further from the wall than in the ZPG-TBL. By removing the velocity fields with LSMs, the estimate of the Reynolds streamwise stress and Reynolds shear stress from the remaining velocity fields is reduced by up to $42 \%$ in the ZPG-TBL. The reduction effect is observed to be even larger (up to $50\%$) in the APG-TBL. However, the removal of these LSMs has a minimal effect on the Reynolds wall-normal stress in both the ZPG- and APG-TBL.

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