Computational fluid dynamic predictions of surface pressures resulting from a sonic lateral jet venting into a supersonic crossflow from a cone-cylinder-flare missile are compared to archival wind-tunnel data. Predictions of axial and azimuthal pressure profiles were found to be very dependent on the turbulence model, with some models performing relatively poorly. Menter's baseline model gave very good to excellent predictions and was used to perform additional validations of other flow conditions, jet nozzle configurations, and jet pressure ratios: again with excellent agreement. The study found that, even with the observed variations in surface pressure, the aerodynamic forces and moments produced by the lateral jet interaction were much less sensitive to the turbulence model. However, an estimate of the trajectory and strength of the counter-rotating vortex pair showed that, although there was little effect of the turbulence model on the location of the vortex pair, the induced vorticity varied by over 30%. This difference can be large enough to impact the prediction of the resultant forces and moments if there are fins or other appendages in the wake of the counter-rotating vortex pair.
Nomenclature
C A0= axial force coefficient C m0= pitching moment about nose of missile C N = normal force coefficient C p = pressure coefficient C P no-jet = pressure coefficient for case with no jet injection D = diameter of cylindrical section of missile, m d = jet nozzle diameter, m F A0 = axial force, N F j = jet thrust force, N F ji = jet interaction force, N F no-jet = normal force due to α without jet, N F total = total normal force (thrust interaction force due to α), N I t = turbulent intensity K f = jet force amplification factor K m = jet moment amplification factor k = turbulent kinetic energy, m 2 · s −2 l j = distance between missile center of gravity and jet nozzle axis, m l t = turbulent length scale, m M = Mach number M j = moment induced by jet thrust force, N · m M ji = moment about center of gravity induced by jet interaction force, N · m M ji0 = moment about missile nose induced by jet interaction force, N · m M total = moment induced by total normal force, N · m PR = jet total-to-freestream static pressure ratio; p 0 j ∕p ∞ p 0 = freestream total pressure, Pa p 0 j = jet total pressure, Pa p ∞ = freestream static pressure, Pa Re = Reynolds number R t = undamped eddy viscosity T 0 = freestream total temperature, K T ∞ = freestream static temperature, K X = axial distance along missile, m X cp = center of pressure location relative to missile nose, calibers y = nondimensional wall distance α = angle of attack, deg ε = eddy diffusivity, m 2 · s −1 ρ ∞ = freestream gas density, kg · m −3 ϕ = azimuthal distance around missile body, deg ω = specific dissipation, s −1