Compressibility Effects in Turbulent Boundary Layers
CAO Yu-Hui1, PEI Jie1, CHEN Jun1, SHE Zhen-Su 1,2
1State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 1008712Department of Mathematics, University of California, Los Angeles, Los Angeles, CA 90095, USA
Compressibility Effects in Turbulent Boundary Layers
CAO Yu-Hui1, PEI Jie1, CHEN Jun1, SHE Zhen-Su 1,2
1State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 1008712Department of Mathematics, University of California, Los Angeles, Los Angeles, CA 90095, USA
摘要Local cascade (LC) scheme and space-time correlations are used to study turbulent structures and their convection behaviour in the near-wall region of compressible boundary layers at Ma=0.8 and 1.3. The convection velocities of fluctuating velocity components u (streamwise) and v (vertical) are investigated by statistically analysing scale-dependent ensembles of LC structures. The results suggest that u is convected with entropy perturbations while v with an isentropic process. An abnormal thin layer distinct from the conventional viscous sub-layer is discovered in the immediate vicinity of the wall (y+≤1) in supersonic flows. While in the region 1<y+<30, streamwise streaks dominate velocity, density and temperature fluctuations, the abnormal thin layer is dominated by spanwise streaks in vertical velocity and density fluctuations, where pressure and density fluctuations are strongly correlated. The LC scheme is proven to be effective in studying the nature of supersonic flows and compressibility effects on wall-bounded motions.
Abstract：Local cascade (LC) scheme and space-time correlations are used to study turbulent structures and their convection behaviour in the near-wall region of compressible boundary layers at Ma=0.8 and 1.3. The convection velocities of fluctuating velocity components u (streamwise) and v (vertical) are investigated by statistically analysing scale-dependent ensembles of LC structures. The results suggest that u is convected with entropy perturbations while v with an isentropic process. An abnormal thin layer distinct from the conventional viscous sub-layer is discovered in the immediate vicinity of the wall (y+≤1) in supersonic flows. While in the region 1<y+<30, streamwise streaks dominate velocity, density and temperature fluctuations, the abnormal thin layer is dominated by spanwise streaks in vertical velocity and density fluctuations, where pressure and density fluctuations are strongly correlated. The LC scheme is proven to be effective in studying the nature of supersonic flows and compressibility effects on wall-bounded motions.
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2008, Vol. 25 
