A study of the transonic shock-buet ow instability phenomena is presented.Reynolds-averaged Navier-Stokes simulations of four wing congurations are conducted at sock-buet ow conditions. The simulated congurations include nite, innite, straight and swept 3D wing models. Based on the results, the eects of 3D ow and wing niteness on the shock-buet phenomena characteristics are identied. The shock motion typical frequencies, amplitudes, periodicity, continuity and harmonization characteristics are found to be aected by the studied eects. Nevertheless, the instability fundamental mechanism was shown to remain similar to its 2D nature. It was indicated that the previously suggested necessary criteria for shock-buet onset in terms of shock position and ow separations remained relevant for the studied congurations. Swept wings with a tip chord that is parallel to the root chord were found less likely to experience shock-buet compared to similar wings with rotated tip planes.Two unsteady phenomena which are characterized by typical frequencies which are considerably higher than the shock-buet typical frequencies were observed in this study. Nomenclature a ∞ = speed of sound, m/s AR = wing aspect ratio b = wing span, m C L = airfoil lift coecient C p = pressure coecient c = chord length, m f = shock-buet frequency, Hz f = 2πf c/U ∞ = shock-buet reduced frequency I = computational domain index in the chord direction J = computational domain index in the span direction K = computational domain index in the surface normal direction M ∞ = free-stream Mach number R ∞ = free-stream Reynolds number, based on chord t = physical time, s t = a∞t c = nondimensional time U ∞ = free-stream velocity, m/s α = angle of attack, deg α i = induced angle of attack, deg α ∞ = free-stream angle of attack, deg ∆C L = lift coecient amplitude ∆X s = shock travel distance normalized to the chord length ∆t = nondimensional computational time step τ = mean-ow equations ctitious computational time step τ t = turbulence equations ctitious computational time step y + = dimensionless wall distance X = chordwise coordinate normalized to the chord length Y = spanwise coordinate normalized to the chord length 2 Downloaded by MONASH UNIVERSITY on November 26, 2014 | http://arc.aiaa.org |