Viscous and Nonviscous Nonequilibrium Nozzle Flows

Two-dimensional or axially symmetric hypersonic gas flows with coupled, finite-rate chemical reactions are considered. The effects of reacting boundary layers over catalytic and noncatalytic walls are included. The equations of Wood and Kirkwood, with the simplifying assumption of local thermodynamic equilibrium, are integrated in a finite-difference procedure for the in viscid flow fields. The boundary-layer formulation is similar to that of Fay and Riddell, Lees, and Scala, except that local similarity is assumed over the full length of the surface being considered, and several chemical species may be considered. Both catalytic and noncatalytic wall effects are considered. Sample calculations are carried out for air (five chemical species), using Wray's reaction rates, for the flow in a hypersonic nozzle with boundary layer. a b d Cp° Co Nomenclature = coefficients of the forward and reverse rate constants, jth reaction • spacing of points along data line, inviscid calculation step size, inviscid calculation mass fraction, iih species = frozen specific heat at constant pressure = frozen speed of sound = binary diffusion coefficient, iih species Ejf,Ef = forward and reverse activation energies, jth reaction F = Gibb's free energy /' = ratio of local to freestream velocity (boundary layer) Q± = slopes of right and left running characteristics g = ratio of local to freestream stagnation enthalpy (boundary layer) H = stagnation enthalpy h = enthalpy of mixture hi = enthalpy (including heat of formation), iih species / = number of chemical species ki = catalytic wall recombination rate constant, ith atomic species fcj.eq = equilibrium constant, jth reaction kjf,kjr = forward and reverse reaction rate constants, jth reaction N = number of chemical elements Pr = Prandtl number