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A boundary integral equation for the 2d external potential flow

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EN
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.
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61--75
Opis fizyczny
Bibliogr. 20 poz., wykr.
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Bibliografia
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  • Carabineanu A. (1996): A boundary element approach to the 2D potential flow problem around airfoils with cusped trailing edge. - Comput. Methods Appl. Mech. Eng., vol.129, pp.213-219.
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  • Graham I. and Chandler G. (1988): High order methods for linear functionals of solutions of second kind integral equations. - SIAM J. Numer. Anal., vol.25, pp.1118-1137.
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  • Henrici, P. (1986): Applied and Computational Complex Analysis. vol.3. -New York: John Wiley.
  • Hess J.L. (1975): Review of integral-equation techniques for solving potential-flow problems with emphasis on the surface-source method. - Comput. Methods Appl. Mech. Eng., vol.5, pp.145-196.
  • Hess J.I. and Smith A.M.O. (1967): Calculation of potential flow about arbitrary bodies. - In: Kuchemann, D. ed. Progress in Aeronautical Sciences. vol.8. London: Pergamon. pp.1-138.
  • Hwang W.S. (2000): A boundary node method for airfoils based on the Dirichlet condition. - Comput. Methods Appl. Mech. Eng., vol.190, No.13, pp.1679-1688.
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  • Mokry M. (1990): Complex Variable Boundary Element Method for External Potential Flows. - AIAA 90-0127.
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  • Murid A.H.M. and Nasser M.M.S. (2003): Eigenproblem of the generalized Neumann kernel. - Bull. Malaysian Math. Sc. Soc. (Second Series). vol.26, pp.13-33.
  • Murid A.H.M., Razali M.R.M. and Nasser M.M.S. (2002): Solving Riemann problem using Fredholm integral equation of the second kind. -In: Proceeding of Simposium Kebangsaan Sains Mathematik ke-10, UTM, pp.172-179.
  • Muskhelishvili N.I. (1977): Singular Integral Equations. English translation of Russian edition 1953. - Leyden: Noordhoff.
  • Trefethen L. N. and Bau III, David. (1997): Numerical Linear Algebra. -SIAM Philadelphia.
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Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0023-0004
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