Budgets Of Reynolds Stresses And Turbulent Heat Flux For Hypersonic Turbulent Boundary Layers Subject To Pressure Gradients
In this paper, the budget terms in the transport equations of the Reynolds stresses, the turbulent kinetic energy (TKE), the internal energy, and the turbulent heat flux are computed using a direct numerical simulation (DNS) database of hypersonic turbulent boundary layers (TBLs) subject to favorable pressure gradients (FPG). Study of the Reynolds stress and TKE budgets shows that FPG has a damping effect on turbulence production, transport, and destruction. The semilocal scaling fails to collapse the Reynolds stress and TKE budget terms between the zero pressure gradient (ZPG) and the strong FPG cases, suggesting that the mechanical nonequilibrium due to FPG leads to changes in Reynolds stress and TKE transport that cannot be captured by Morkovin's hypothesis. Minimal change is seen in the internal energy budget in the presence of FPG, indicating a minimal impact due to FPG on the mean thermal field. While the near-wall transport of wall-normal turbulent heat flux is largely governed by the balance between the turbulent viscous-thermal transport term and the turbulent viscous-thermal dissipation term, the transport of the streamwise turbulent heat flux is influenced by contributions from almost all the budget terms. For the strong FPG case in particular, production due to both the mean and the fluctuating strain rates begins to play a significant role in the near-wall transport of the streamwise turbulent heat flux, and their inclusion or modeling may be required to accurately predict turbulent heat fluxes for a strong FPG.
G. L. Nicholson et al., "Budgets Of Reynolds Stresses And Turbulent Heat Flux For Hypersonic Turbulent Boundary Layers Subject To Pressure Gradients," AIAA Science and Technology Forum and Exposition, AIAA SciTech Forum 2022, article no. AIAA 2022-1059, American Institute of Aeronautics and Astronautics, Jan 2022.
The definitive version is available at https://doi.org/10.2514/6.2022-1059
Mechanical and Aerospace Engineering
International Standard Book Number (ISBN)
Article - Conference proceedings
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01 Jan 2022