Fluidic Control of a Wing Tip Vortex

A = wing area, s c AR = wing aspect ratio, b=c b = wingspan CL = wing lift coefficient Cl = sectional lift coefficient CM = quarter-chord moment coefficient Cp = pressure coefficient CR = rolling moment coefficient C = slot momentum coefficient, h=3c Up=U1 2 c = wing chord length fe = separation control excitation frequency F = reduced excitation frequency, feLf=U1 h = blowing slot width Lf = flap length, from slot to trailing edge q1 = freestream dynamic pressure Re = Reynolds number based on chord length r = radial distance measured from the vortex center s = wing semispan length, b=2 sf = flap span, s=3 U, V,W = mean velocities in directions x,y, and z, respectively Uj = root-mean-square slot velocity Up = peak slot velocity U1 = freestream velocity V = tangential component of velocity in the wake x, y, z = coordinates measured from model leading tip y0 = spanwise coordinate measured from the root y; z = vortex centroid = angle of attack = wing bound vortex strength 0 = wing root bound vortex strength 0 = wake vortex strength t = tip flap deflection angle , = coordinates measured from the flap slot = air density !x = streamwise vorticity, @W=@y @V=@z