Three coflow jet airfoils with twice-doubled injection-slot sizes are calculated using a Reynolds-averaged NavierStokes computational fluid dynamics solver with the one-equation Spalart-Allmaras model. At the same angle of attack, the twice-larger injection-slot-size airfoil passes the (about twice-greater) jet mass flow rate, with the momentum coefficients also nearly doubled. The coflow jet airfoil with the largest slot size has the least stall angle of attack. When the injection-slot size is reduced from the maximum by half, the stall angle of attack and the maximum lift coefficient are increased. When the injection-slot size is further reduced by half, the stall angle of attack is still increased, but the maximum lift coefficient is lower due to the smaller momentum coefficient. The trends of the stall angle of attack and maximum lift coefficient agree with the experiment. At low angles of attack, both the computed lift and drag coefficients agree fairly well with the experiment. At high angles of attack, the lift and drag are underpredicted. The reason may be that the Reynolds-averaged Navier-Stokes model cannot handle the turbulence mixing at high angles of attack.
Nomenclatureof the field point to the trip location e = total energy per unit mass F = reactionary force J = Jacobian of transformation L = lift l, m, n = normal vectors on , , and surfaces with their magnitudes equal to the elemental surface areas and pointing to the directions of increasing , , and l t , m t , n t = grid moving velocities _ m = mass flow rate Pr = Prandtl number Pr t = turbulent Prandtl number p = pressure q k = total heat flux in Cartesian coordinates R = gas constant Re = Reynolds number R 0 = force from the airfoil surface integral S = magnitude of vorticity in Cartesian coordinates T = temperature t = time U, V, W = contravariant velocities in the , , and directions u, v, w = velocity components in the x, y, and z directions V = velocity vector x, y, z = Cartesian coordinates = angle of attack = ratio of specific heats U = difference of the velocities between the field point and the trip location x t = grid spacing along the wall at the trip location = angle between slot surface and the line normal to the airfoil chord = molecular viscosity t = turbulent viscosity = kinematic viscosity , , = generalized coordinates = density ik = shear stress in Cartesian coordinates ! t = wall vorticity at the wall boundary-layer trip location Subscripts i, j, k = indices L, R = left-and right-hand sides of the interface