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Weakly nonlinear analysis of Rayleigh–Bénard convection problem in extended Boussinesq approximation
Type of publication: Article
Citation:
Publication status: Published
Journal: Applied Mathematics and Computation
Volume: 408
Year: 2021
Pages: 126374
ISSN: 0096-3003
URL: https://www.sciencedirect.com/...
DOI: 10.1016/j.amc.2021.126374
Abstract: We investigate Rayleigh–Bénard convection problem in an extended Boussinesq approximation suitable for conditions in the Earths mantle. The aim is to evaluate the influence of depth-dependent material parameters, dissipation, adiabatic heating/cooling and heat sources on qualitative characteristics of thermal convection. We identify the critical values of dimensionless parameters that determine the onset of convection, and we characterize the dominating convection patterns in marginally supercritical states. These issues are addressed by the application of linear stability analysis and weakly nonlinear analysis. We have found that the character of convection differs substantially from the standard case of Rayleigh–Bénard convection.
Keywords: Extended boussinesq approximation, Thermal convection, Weakly nonlinear analysis
Authors Dostalík, Mark
Matyska, Ctirad
Průša, Vít
Added by: [VP]
Total mark: 0
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