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1991-01-01
The optimum shape of an hydrofoil with no cavitation
Mots-clés :
Hydrofoil, plane, uniform steam flow, infinite line theory, standard techniques, variational calculus, differential equation, Rayleigh-Ritz method, optimum values (es)
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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.
Comment citer
APA
Al-Hawaj, A. Y. et Essawy, A. H. (1991). The optimum shape of an hydrofoil with no cavitation. Revista Colombiana de Matemáticas, 25(1-4), 103–122. https://revistas.unal.edu.co/index.php/recolma/article/view/33410
ACM
[1]
Al-Hawaj, A.Y. et Essawy, A.H. 1991. The optimum shape of an hydrofoil with no cavitation. Revista Colombiana de Matemáticas. 25, 1-4 (janv. 1991), 103–122.
ACS
(1)
Al-Hawaj, A. Y.; Essawy, A. H. The optimum shape of an hydrofoil with no cavitation. rev.colomb.mat 1991, 25, 103-122.
ABNT
AL-HAWAJ, A. Y.; ESSAWY, A. H. The optimum shape of an hydrofoil with no cavitation. Revista Colombiana de Matemáticas, [S. l.], v. 25, n. 1-4, p. 103–122, 1991. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/33410. Acesso em: 22 janv. 2025.
Chicago
Al-Hawaj, A. Y., et A. H. Essawy. 1991. « The optimum shape of an hydrofoil with no cavitation ». Revista Colombiana De Matemáticas 25 (1-4):103-22. https://revistas.unal.edu.co/index.php/recolma/article/view/33410.
Harvard
Al-Hawaj, A. Y. et Essawy, A. H. (1991) « The optimum shape of an hydrofoil with no cavitation », Revista Colombiana de Matemáticas, 25(1-4), p. 103–122. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/33410 (Consulté le: 22 janvier 2025).
IEEE
[1]
A. Y. Al-Hawaj et A. H. Essawy, « The optimum shape of an hydrofoil with no cavitation », rev.colomb.mat, vol. 25, nᵒ 1-4, p. 103–122, janv. 1991.
MLA
Al-Hawaj, A. Y., et A. H. Essawy. « The optimum shape of an hydrofoil with no cavitation ». Revista Colombiana de Matemáticas, vol. 25, nᵒ 1-4, janvier 1991, p. 103-22, https://revistas.unal.edu.co/index.php/recolma/article/view/33410.
Turabian
Al-Hawaj, A. Y., et A. H. Essawy. « The optimum shape of an hydrofoil with no cavitation ». Revista Colombiana de Matemáticas 25, no. 1-4 (janvier 1, 1991): 103–122. Consulté le janvier 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/33410.
Vancouver
1.
Al-Hawaj AY, Essawy AH. The optimum shape of an hydrofoil with no cavitation. rev.colomb.mat [Internet]. 1 janv. 1991 [cité 22 janv. 2025];25(1-4):103-22. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/33410
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© Revista Colombiana de Matemáticas 1991
Cette œuvre est sous licence Creative Commons Attribution 4.0 International.
