The optimum shape of an hydrofoil with no cavitation

• A. Y. Al-Hawaj ^[1] ; A. H. Essawy ^[1]
  1. [1] University of Bahrain

     University of Bahrain

     Baréin

     
• Localización: Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 25, Nº. 1-4, 1991, págs. 103-122
• Idioma: inglés
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• Resumen

  • We consider a two-dimensional hydrofoil at rest in the (xy)-plane embedded in a steam with a uniform flow at infinity and we pose the problem of finding the optimum shape of the hydrofoil of a given length and prescribed mean curvature for which the lift is a maximum. Using the lifting line theory and standard variational calculus techniques we show that the slope of the mean chord of the hydrofoil has to satisfy a differential equation of the second order. The Rayleigh-Ritz method is used to solve the second order differential equation which gives the optimal values.