Boundary Layer Transition Correlations and Aeroheating Predictions for Mars Smart Lander

Nomenclature a w speed of sound at wall (m/s) D diameter (m) H AW adiabatic enthalpy (J/kg) H w wall enthalpy (J/kg) H 0 total enthalpy (J/kg) h heat transfer coefficient (kg/m 2 /sec), h FR Fay-Riddell heat transfer coefficient (kg/m 2 /sec) M ∞ free stream Mach number M e boundary layer edge Mach number p ∞ free stream pressure (N/m 2) q heat transfer rate (W/m 2) r radial position (m) R base (maximum) radius (m) R n nose radius (m) R c corner radius (m) Re ∞ free stream unit Reynolds number (1/m) (Re w,e) turb critical Reynolds number for turbulence, Re cell wall cell Reynolds number, Re θ boundary layer momentum thickness Reynolds number, h q H AW H w – () ⁄ = Re w e , () turb ρ e U e w () µ e ⁄ = Re cell ρ w a w ∆s () µ w ⁄ = Re θ ρ e U e θ () µ we ⁄ = T ∞ free stream temperature (K) U ∞ free stream velocity (m/sec) w penetration diameter (cm) α angle-of-attack (deg) δ boundary layer thickness (m) φ model rotation (deg) ∆ s wall cell height (m) µ w wall cell viscosity (kg/m/s) ρ ∞ free stream density (kg/m 3) ρ w wall cell density (kg/m 3)