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Different types of nonlinear convective oscillation in a multilayer system
Authors:Ilya B Simanovskii  Antonio Viviani  Frank Dubois  Jean-Claude Legros
Institution:1. Department of Mathematics, Technion-Israel Institute of Technology, 32000 Haifa, Israel;2. Seconda Universita di Napoli (SUN), Dipartimento di Ingegneria Aerospaziale e Meccanica (DIAM), via Roma 29, 81031 Aversa, Italy;3. Universite Libre de Bruxelles, Service de Chimie Physique EP, CP165-62, 50 Av. F.D. Roosevelt 1050, Brussels, Belgium;1. Departamento de Ingeniería Energética y Fluidomecánica – Grupo de Ingeniería de Fluidos, Escuela de Ingenierías Industriales, Universidad de Valladolid, Paseo del Cauce 59, 47010 Valladolid, Spain;2. Área de Energía, Facultad de Ingeniería Civil y Mecánica, Universidad Técnica de Ambato, Avd. Los Chasquis y Rio Payamino s/n, Ambato, Ecuador;1. LAETA, IDMEC, Mechanical Engineering Department, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais 1, 1049-001 Lisbon, Portugal;2. MARETEC, Mechanical Engineering Department, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais 1, 1049-001 Lisbon, Portugal
Abstract:The nonlinear development of oscillatory instability under the joint action of buoyant and thermocapillary effects in a multilayer system is investigated. The nonlinear two-dimensional convective regimes are studied by the finite-difference method. Rigid heat-insulated lateral walls are considered. Different types of nonlinear flow, symmetric and asymmetric oscillations, have been found. It is shown that the oscillatory motion takes place in an interval of the Grashof number values bounded both from below (by the mechanical equilibrium) and from above (by the steady state). Cavities with different lengths are considered.
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