Abstract
In this study, lumped-vortex element method and thin airfoil theory were used to analyze aerodynamic characteristics of airfoils with relative motion that had camber lines of NACA <TEX>$44{\times}{\times}$</TEX> airfoil in 2-dimensional unsteady incompressible potential flow. Velocity disturbance due to airfoil was calculated by lumped-vortex element model and force distribution on airfoil by unsteady Bernoulli's equation. Variables in relative motion were considered the period p, the amplitude of flapping <TEX>$A_f$</TEX> and pitching <TEX>$A_p$</TEX>, and the phase difference between flapping and pitching <TEX>${\phi}_p$</TEX> and the angle of attack <TEX>${\alpha}$</TEX>. Due to movement of an airfoil, dag was induced in 2-dimensional unsteady incompressible potential flow. The numerical results show that the aerodynamic characteristics of the airfoil with flapping and pitching at the same time are illustrated. Especially the mean lift coefficient became smaller, but drag coefficient became larger.
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