Spectral analysis of turbulence kinetic and internal energy budgets in hypersonic turbulent boundary layers
Yitong Fan, Weipeng Li
Abstract
The spectral transport equations of turbulence kinetic and internal energy (TKE and TIE) are rigorously derived in the compressible turbulent flows, exhibiting a full structural similarity in terms of two-point correlations of velocity and a sound-speed-like variable. The scale dependence of TKE and TIE flow across space and scales, and among components is revealed comprehensively in a similar manner, in hypersonic turbulent boundary layers. Special attention is paid to the effect of wall cooling on the energy evolution, which is observed to exist throughout the boundary layer primarily by means of modifying the small-scale motions.
Topics & Concepts
Turbulence kinetic energyTurbulenceHypersonic speedBoundary layerMechanicsKinetic energyPhysicsCompressibilityK-epsilon turbulence modelScale (ratio)Compressible flowClassical mechanicsQuantum mechanicsFluid Dynamics and Turbulent FlowsWind and Air Flow StudiesCombustion and flame dynamics