The optimum shape of an hydrofoil with no cavitation

A. Y. Al-Hawaj; A. H. Essawy

Pubblicato

1991-01-01

The optimum shape of an hydrofoil with no cavitation

Parole chiave:

Hydrofoil, plane, uniform steam flow, infinite line theory, standard techniques, variational calculus, differential equation, Rayleigh-Ritz method, optimum values (es)

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PDF (Español)

Autori

A. Y. Al-Hawaj University of Bahrain
A. H. Essawy University of Bahrain

Abstract (en)

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.

Come citare

APA

Al-Hawaj, A. Y. e 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. e Essawy, A.H. 1991. The optimum shape of an hydrofoil with no cavitation. Revista Colombiana de Matemáticas. 25, 1-4 (gen. 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 gen. 2025.

Chicago

Al-Hawaj, A. Y., e 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. e Essawy, A. H. (1991) «The optimum shape of an hydrofoil with no cavitation», Revista Colombiana de Matemáticas, 25(1-4), pagg. 103–122. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33410 (Consultato: 22 gennaio 2025).

IEEE

[1]

A. Y. Al-Hawaj e A. H. Essawy, «The optimum shape of an hydrofoil with no cavitation», rev.colomb.mat, vol. 25, n. 1-4, pagg. 103–122, gen. 1991.

MLA

Al-Hawaj, A. Y., e A. H. Essawy. «The optimum shape of an hydrofoil with no cavitation». Revista Colombiana de Matemáticas, vol. 25, n. 1-4, gennaio 1991, pagg. 103-22, https://revistas.unal.edu.co/index.php/recolma/article/view/33410.

Turabian

Al-Hawaj, A. Y., e A. H. Essawy. «The optimum shape of an hydrofoil with no cavitation». Revista Colombiana de Matemáticas 25, no. 1-4 (gennaio 1, 1991): 103–122. Consultato gennaio 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 gennaio 1991 [citato 22 gennaio 2025];25(1-4):103-22. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33410