Unsteady 3D lifting surface theory with the free surface effect
Abstract
This theory concerns unsteady fluid/structure interactions with the gravity effect. Usual assumptions of the linear theories are made and the 3D lifting surface method of the unsteady aerodynamics is used. Starting from the potential of the Havelock source, we are led to an integral equation, the kernel of which is expressed as a Fourier series with respect to the azimuthal angle. The coefficients of the Fourier expansion are simple integrals approximated by an asymptotic method for large indices. The integral equation is solved by the collocation technics. Problems such as flutter of subcavitating foilsystems for control dynamics in flight near the surface wave provide relevant applications of this theory.
 Publication:

NASA STI/Recon Technical Report A
 Pub Date:
 1981
 Bibcode:
 1981STIA...8146256L
 Keywords:

 Aeroelasticity;
 Computational Fluid Dynamics;
 Lifting Bodies;
 Surfaces;
 Three Dimensional Flow;
 Unsteady Flow;
 Aerodynamics;
 Cavitation Flow;
 Control Surfaces;
 Flight Control;
 Flutter Analysis;
 Fourier Series;
 Free Boundaries;
 Integral Equations;
 Series Expansion;
 Unsteady Aerodynamics;
 Fluid Mechanics and Heat Transfer