Bénard-Marangoni convection in square containers

Convection in a square container of small aspect ratio is studied taking into account thermocapillarity as well as gravity effects. In addition to the geometrical symmetry (D₄), the existence of hidden translational symmetries, due to boundary conditions, allows us to explain the qualitative feature...

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Detalles Bibliográficos
Autores principales: Krmpotić, Darío Vladimir, Mindlin, Gabriel Bernardo, Pérez García, C.
Formato: Articulo
Lenguaje:Inglés
Publicado: 1996
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/122884
Aporte de:SEDICI (UNLP) de Universidad Nacional de La Plata Ver origen
Descripción
Sumario:Convection in a square container of small aspect ratio is studied taking into account thermocapillarity as well as gravity effects. In addition to the geometrical symmetry (D₄), the existence of hidden translational symmetries, due to boundary conditions, allows us to explain the qualitative features of the patterns found in recently reported experiments [T. Ondarzuhu <i>et al.</i>, Phys. Rev. Lett. 70, 3892 (1993)]. The nonlinear interaction between mixed modes and pure modes is shown to give rise to a sequence of bifurcations that leads to the onset of oscillations, as observed experimentally.