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1 International Journal of Applied Mechanics and Engineering

1 2006

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A boundary integral equation for the 2d external potential flow

Nasser M., Murid A., Amin N.

International Journal of Applied Mechanics and Engineering

2006

Vol. 11, no 1

61-75

Based on the recently discovered second kind Fredholm integral equation for the exterior Riemann problem, a boundary integral equation is developed in this paper for the two-dimensional, irrotational, incompressible fluid flow around an airfoil without a cusped trailing edge. The solution of the integral equation contains one arbitrary real constant, which may be determined by imposing the Kutta-Joukowski condition. Comparisons between numerical and analytical values of the pressure coefficient on the surface of the NACA 0009 and NACA 0012 airfoils with zero angle of attack show a very good agreement.