Computation of a Rigid Airfoil in Plunging Motion with a Flexible Trailing Beam

EI ρA Wn(x) eigenfunction corresponding to the n th eigenvalue Tn(t) generalized function corresponding to the n th eigenvalue Fn(t) forcing function in terms of the n th eigenmode z the deflection of the beam in the complex plane x nondimensional length scale by chord length of the NACA0012 airfoil κ Reduced plunging frequency, ωc U∞ h non-dimensional amplitude,y/c ha maximum nondimensional amplitude τ one period of plunging motion c chord length of NACA0012 airfoil cx chord length with the trailing edge extension q∞ freestream dynamic pressure, 1 2 ρ∞U 2 ∞