Direct numerical simulation of hypersonic turbulent boundary layers. Part 4. Effect of high enthalpy

By Lian Duan, M. Pino Martín. Journal of Fluid Mechanics, 2011

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Transitional shock-wave/boundary-layer interactions in hypersonic flow (2014, unknown): “…zone, while downstream of the interaction a Reynolds analogy factor of around 2/3 is seen in the DNS results downstream of reattachment, implying a subsequent long relaxation back to the typical factors of 0.83–0.85 seen in DNS of fully developed turbulent flow at high speed (Duan & Martin 2011).”
A generalized Reynolds analogy for compressible wall-bounded turbulent flows (2013, background): “The empirical relation of Duan & Martín (2011) Recently, Duan & Martı́n (2011) successfully removed the explicit dependence of the mean temperature–velocity relationship on the thermal and chemical wall conditions with an empirical relation, in which a dimensionless excess recovery enthalpy H̄∗r =…”
Reynolds and Mach number effects in compressible turbulent channel flow (2016, methodology): “An empirical correction to Walz formula was proposed by Duan and Martin [30], and generalized by Zhang et al.”