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Direct numerical simulation of a supersonic turbulent boundary layer on a flat plate and its analysis
Authors:Huang?Zhangfeng  Email author" target="_blank">Zhou?Heng?Email author  Luo?Jisheng
Institution:(1) Department of Mechanics, Tianjin University, 300072 Tianjin, China;(2) Liu-Hui Center of Applied Mathematics, Nankai University and Tianjin University, 300072 Tianjin, China
Abstract:Temporal mode direct numerical simulation (DNS) has been done for a supersonic turbulent boundary layer on a flat plate with Mach number 4.5. It was found that the mean flow profile, the normal-wise distribution of turbulent Mach number and the root mean square (RMS) of the fluctuations of various variables, as well as the Reynolds stresses, bore similarity in nature, when the turbulence reached a fully developed state. But the compressibility effect was strong and must be considered. The strong Reynolds analogy (SRA) and the Morkovin hypothesis were no longer valid. From the end of transition to the fully developed state of turbulence, it was in the transient period, for which the similarity did not hold.
Keywords:turbulence  similarity  compressibility effect  supersonic boundary layer  direct numerical simula-tion  
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