Study of Emission Turbulence–Radiation Interaction in Hypersonic Boundary Layers

B = Einstein absorption coefficient E = total energy, P ns s s es 12 uiui , J=m g = electronic state degeneracy H = shape factor, = , dimensionless h = specific enthalpy, J=kg h = Planck’s constant h = enthalpy of formation, J=kg I = radiative intensity,W=cm-sr J = diffusive mass flux, kg=m s Le = Lewis number, dimensionless M = Mach number, dimensionless n = number density, m 3 p = pressure, P s s R̂=Ms T, Pa q = heat flux, J= m s q = turbulence kinetic energy, u02 v02 w02 =2, m=s qC = conductive heat flux, @T=@xj , J= m s qR = radiative heat flux, J= m s Re 2 = Reynolds number, u = w, dimensionless Re = Reynolds number, u = , dimensionless Re = Reynolds number, wu = w, dimensionless Sij = strain rate tensor, 1 2 @ui=@xj @uj=@xi , s 1 T = translational temperature or temperature in general, K Te = electron temperature, K Tr = rotational temperature, K Tv = vibrational temperature, K u = velocity, m=s u = friction velocity, m=s = boundary-layer thickness, mm = displacement thickness, mm " = emission coefficient, W=cm-sr " = total emission, W=cm " = dissipation rate, m=s = momentum thickness, mm = absorption coefficient, cm 1 = mixture thermal conductivity, J= K m s = wavelength, Å = mixture viscosity, kg= m s = density, kg=m ij = shear stress tensor, 2 Sij 23 ijSkk, Pa