A theoretical model has been developed to investigate turbulent mixing and combustion processes in the main combustion chamber of a solid-propellant ducted rocket. The formulation is based on Favre-averaged conservation equations with a two-step chemical reaction scheme and is solved by a semi-implicit finite-difference method. Turbulence closure is achieved using a well-known k-e two-equation model. Calculated flow structures show good agreement with preliminary experimental results obtained from the schlieren flow-visualization study. The influences of various parameters, including dome height and inlet flow angle, on the propulsive performance of the system are investigated in detail.
Nomenclature-constants in combustion model Q, C 2 , C M = const ants in turbulence model E\, E 2 = activation energies / = mixture fraction G k = production term in Eq. (9) H = stagnation enthalpy H c = half-height of combustor H d = dome height Hj = distance from fuel-rich injector to combustor wall / sp = specific impulse k = turbulence kinetic energy Pr = Prandtl number Pr t = turbulent Prandtl number p = pressure R u = universal gas constant S = reaction rate, defined in Eq. (16) $$ = source term in Eq. (17) Sc = Schmidt number Sc t = turbulent Schmidt number T = temperature u = axial velocity U T = friction velocity V = velocity vector v = vertical velocity W -molecular weight w a = width of air inlet port uy = width of gas-generator injector port x -axial coordinate Y =mass fraction y -vertical coordinate = dimensionless distance from the wall, Ok>0t Diacriticals Subscripts a / ft* i = turbulent transport coefficient in Eq. (17) = heat of formation = turbulent energy dissipation rate = conserved scalar = inlet flow angle = dynamic viscosity = effective viscosity = turbulent viscosity = density = flow varaible in Eq. (17) = production rate of species = constants in turbulence model = time-averaged quantity = Favre-averaged (mass-weighted) quantity = value at inlet/combustor interface = value at gas-generator exit port = fuel = species