Three-dimensional laminar-separation bubbles on a cambered thin wing with an aspect ratio of 6 at a Reynolds number of 60,000 have been investigated by solving the Reynolds-averaged Navier-Stokes equations. The k-ω shearstress transport γ-Re θ turbulence-transition model is used to account for the effect of transition on the laminar separation-bubble development. The aerodynamic forces are compared with the experimental data available for validation. The laminar-separation bubble is shown to evolve in its shape and dimension in both chord and span directions with increasing incidence due to its interaction with the wing-tip flow and the trailing-edge separation. The strongest three-dimensional effects are found at a moderate incidence of 6 deg and at higher incidences beyond 10 deg. Within the incidence range, the two-dimensional airfoil results are not reproduced at any of the span locations, including the symmetry plane, in the three-dimensional wing case. Generally, the chordwise development of the threedimensional laminar-separation-bubble at the symmetry plane is delayed as compared with the two-dimensional laminar-separation bubble. Another noticeable point is the association of a sudden increase in lift-curve slope due to abrupt expansion of the laminar-separation bubble at a certain incidence. This phenomenon is observed in both the two-and three-dimensional cases, but at different incidences.
Nomenclature= three-dimensional and two-dimensional drag, respectively, N L, l = three-dimensional and two-dimensional lift, respectively, N L bc ∕c = laminar-separation-bubble length in chordwise direction L bz ∕z = laminar-separation-bubble length in spanwise direction Re c = Reynolds number based on chord S = wing area, m 2 T i = turbulence-intensity level t = thickness, m u ∞ = incoming flow velocity, m∕s X R ∕c = reattachment point X S ∕c = separation point X Tr ∕c = transition point y = distance in wall coordinates z∕c = spanwise location α = incidence/angle of attack, deg γ = intermittency Δu = velocity changes over the length of the bubble Δx = bubble length θ s = momentum thickness at separation μ = molecular viscosity μ t = eddy viscosity v = kinematic viscosity ρ = density τ = wall shear stress ω = specific turbulence dissipation rate