International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 50, Pages 3203-3216
doi:10.1155/S0161171203112318
Nonlinear unsteady flow problems by multidimensional singular integral representation analysis
Interpaper Research Organization, 56 Anagnostopoulou Street, Athens GR-106 72, Greece
Received 10 December 2001
Copyright © 2003 E. G. Ladopoulos. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
A two-dimensional nonlinear aerodynamics representation analysis
is proposed for the investigation of inviscid flowfields of
unsteady airfoils. Such problems are reduced to the solution of
a nonlinear multidimensional singular integral equation as the
source and vortex strength distributions are dependent on the
history of these distributions on the NACA airfoil surface. A
turbulent boundary layer model is further investigated, based on
the formulation of the unsteady behaviour of the momentum integral
equation. An application is finally given to the determination of
the velocity and pressure coefficient field around an aircraft by
assuming linear vortex distribution.