Fiche du document
1980
Copyright PERSEE 2003-2023. Works reproduced on the PERSEE website are protected by the general rules of the Code of Intellectual Property. For strictly private, scientific or teaching purposes excluding all commercial use, reproduction and communication to the public of this document is permitted on condition that its origin and copyright are clearly mentionned.
Sujets proches
Surface phenomenaCiter ce document
Georgy Lebon et al., « Study of surface tension effects in thermal convection by variational methods », Bulletins de l'Académie Royale de Belgique, ID : 10.3406/barb.1980.58680
Métriques
Partage / Export
Résumé
Variational formulations are proposed for the study of the hydrodynamic stability of an infinite fluid layer at rest heated from below. The role of a temperature dependent surface tension is more specifically emphasized. Both perturbations of small and finite amplitudes are considered : the former are investigated by means of the classical normal mode analysis while the latter are treated in the frame of Serrin-Joseph energy method. Both approaches are expressed in terms of variational principles which serve as starting points of the numerical procedure. By using very simple trial functions, namely a set of four Tchebyshev polynomes, and invoking Rayleigh-Ritz's method, approximate solutions are obtained.