Assessment of Turbulence–Chemistry Interaction in Hypersonic Turbulent Boundary Layers

Cp = heat capacity at constant pressure, J= K kg Cv = heat capacity at constant volume, J= K kg c = concentration, mol=m E = total energy, J=m H = shape factor, = , dimensionless h = specific enthalpy, J=kg h = heat of formation, J=kg J = diffusive mass flux, kg=m s Keq = equilibrium constant k = reaction rate coefficient Le = Lewis number, dimensionless M = Mach number, dimensionless ns = total number of species, dimensionless p = pressure, P s s R̂=Ms T, Pa q = turbulent kinetic energy, u02 v02 w02 =2, m=s qj = heat flux, @T=@xj , J= m s Re = Reynolds number, u = , dimensionless Re 2 = Reynolds number, u = w, dimensionless Re = Reynolds number, wu = w, dimensionless Sij = strain rate tensor, 1 2 @ui=@xj @uj=@xi , s 1 T = temperature, K Ta = activation temperature Tr = recovery temperature, T 1 0:9 1 =2 M , K u = friction velocity, m=s W = molecular weight, kg=mol w = chemical production rate, kg=m s Y = species mass fraction, dimensionless = specific heat ratio, Cp=Cv, dimensionless = boundary-layer thickness, mm = displacement thickness, mm = momentum thickness, mm = mixture thermal conductivity, J= K m s = mixture viscosity, kg= m s = stoichiometric coefficient, dimensionless = density, kg=m ij = shear stress tensor, 2 Sij 23 ijSkk, Pa