The optimum shape of an hydrofoil with no cavitation
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 a...
- Autores:
-
Al-Hawaj, A. Y.
Essawy, A. H.
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 1991
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/43447
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/43447
http://bdigital.unal.edu.co/33545/
- Palabra clave:
- Hydrofoil
plane
uniform steam flow
infinite line theory
standard techniques
variational calculus
differential equation
Rayleigh-Ritz method
optimum values
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | 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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