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...

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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
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Al-Hawaj, A. Y.c055612f-bdf7-4158-a490-8ccaf17bed60300Essawy, A. H.fa3c14eb-ef12-442d-bfce-6d0ee80c3e543002019-06-28T11:59:27Z2019-06-28T11:59:27Z1991https://repositorio.unal.edu.co/handle/unal/43447http://bdigital.unal.edu.co/33545/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.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33410Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 25, núm. 1-4 (1991); 103-122 0034-7426Al-Hawaj, A. Y. and Essawy, A. H. (1991) The optimum shape of an hydrofoil with no cavitation. Revista Colombiana de Matemáticas; Vol. 25, núm. 1-4 (1991); 103-122 0034-7426 .The optimum shape of an hydrofoil with no cavitationArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTHydrofoilplaneuniform steam flowinfinite line theorystandard techniquesvariational calculusdifferential equationRayleigh-Ritz methodoptimum valuesORIGINAL33410-123907-1-PB.pdfapplication/pdf5200387https://repositorio.unal.edu.co/bitstream/unal/43447/1/33410-123907-1-PB.pdf23c49206d04398d82f4a26611efe44b0MD51THUMBNAIL33410-123907-1-PB.pdf.jpg33410-123907-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg7411https://repositorio.unal.edu.co/bitstream/unal/43447/2/33410-123907-1-PB.pdf.jpg241ba3c4a81785102c246b96dd33433bMD52unal/43447oai:repositorio.unal.edu.co:unal/434472024-02-10 23:06:17.333Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv The optimum shape of an hydrofoil with no cavitation
title The optimum shape of an hydrofoil with no cavitation
spellingShingle The optimum shape of an hydrofoil with no cavitation
Hydrofoil
plane
uniform steam flow
infinite line theory
standard techniques
variational calculus
differential equation
Rayleigh-Ritz method
optimum values
title_short The optimum shape of an hydrofoil with no cavitation
title_full The optimum shape of an hydrofoil with no cavitation
title_fullStr The optimum shape of an hydrofoil with no cavitation
title_full_unstemmed The optimum shape of an hydrofoil with no cavitation
title_sort The optimum shape of an hydrofoil with no cavitation
dc.creator.fl_str_mv Al-Hawaj, A. Y.
Essawy, A. H.
dc.contributor.author.spa.fl_str_mv Al-Hawaj, A. Y.
Essawy, A. H.
dc.subject.proposal.spa.fl_str_mv Hydrofoil
plane
uniform steam flow
infinite line theory
standard techniques
variational calculus
differential equation
Rayleigh-Ritz method
optimum values
topic Hydrofoil
plane
uniform steam flow
infinite line theory
standard techniques
variational calculus
differential equation
Rayleigh-Ritz method
optimum values
description 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.
publishDate 1991
dc.date.issued.spa.fl_str_mv 1991
dc.date.accessioned.spa.fl_str_mv 2019-06-28T11:59:27Z
dc.date.available.spa.fl_str_mv 2019-06-28T11:59:27Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/33545/
url https://repositorio.unal.edu.co/handle/unal/43447
http://bdigital.unal.edu.co/33545/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/33410
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 25, núm. 1-4 (1991); 103-122 0034-7426
dc.relation.references.spa.fl_str_mv Al-Hawaj, A. Y. and Essawy, A. H. (1991) The optimum shape of an hydrofoil with no cavitation. Revista Colombiana de Matemáticas; Vol. 25, núm. 1-4 (1991); 103-122 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/43447/1/33410-123907-1-PB.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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