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1991-01-01
The optimum shape of an hydrofoil with no cavitation
Palabras clave:
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.
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APA
Al-Hawaj, A. Y. y 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. y Essawy, A.H. 1991. The optimum shape of an hydrofoil with no cavitation. Revista Colombiana de Matemáticas. 25, 1-4 (ene. 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 ene. 2025.
Chicago
Al-Hawaj, A. Y., y 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. y Essawy, A. H. (1991) «The optimum shape of an hydrofoil with no cavitation», Revista Colombiana de Matemáticas, 25(1-4), pp. 103–122. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/33410 (Accedido: 22 enero 2025).
IEEE
[1]
A. Y. Al-Hawaj y A. H. Essawy, «The optimum shape of an hydrofoil with no cavitation», rev.colomb.mat, vol. 25, n.º 1-4, pp. 103–122, ene. 1991.
MLA
Al-Hawaj, A. Y., y A. H. Essawy. «The optimum shape of an hydrofoil with no cavitation». Revista Colombiana de Matemáticas, vol. 25, n.º 1-4, enero de 1991, pp. 103-22, https://revistas.unal.edu.co/index.php/recolma/article/view/33410.
Turabian
Al-Hawaj, A. Y., y A. H. Essawy. «The optimum shape of an hydrofoil with no cavitation». Revista Colombiana de Matemáticas 25, no. 1-4 (enero 1, 1991): 103–122. Accedido enero 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 de enero de 1991 [citado 22 de enero de 2025];25(1-4):103-22. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/33410
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Derechos de autor 1991 Revista Colombiana de Matemáticas
Esta obra está bajo una licencia internacional Creative Commons Atribución 4.0.
