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Variational principles in fluid mechanics
Fraeijs de Veubeke, Baudouin
1965In 7e Conférence scientifique sur la Mé&canique des Fluides
Peer reviewed
 

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Keywords :
Fluid Mechanics; Variational Principles; Eulerian description
Abstract :
[en] This paper attemps a completely logical derivation from Hamilton's principle to a purely eulerian principle. A logical step, which departs from the procedure adopted by Lin, has been taken. Since independent variations are to be taken on the velocity field, it is only natural to remove the constraints implying that the velocity is the derivative of the poarticle's position vector. This introduces a new vector multiplier enjoing a property of constant circulation along any segment fixed in the flow. This procedure yelds almost immediatly a general variational principle that can easily be specialized to the principles given by Bateman.
Research center :
U.Lg - L.T.A.S.
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Fraeijs de Veubeke, Baudouin ;  Université de Liège - ULiège
Language :
English
Title :
Variational principles in fluid mechanics
Publication date :
1965
Event name :
7e Conférence scientifique sur la Mécanique des Fluides
Event organizer :
Académie polonaise des sciences
Event place :
Jurata, Poland
Event date :
du 1 au 8 septembre 1965
Audience :
International
Main work title :
7e Conférence scientifique sur la Mé&canique des Fluides
Main work alternative title :
[en] 7th Scientific Conference on Fluid Mechanics
Pages :
111-126
Peer reviewed :
Peer reviewed
Available on ORBi :
since 14 December 2010

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