Abstract
Natural convection problems offer many examples of branching of the solutions [1]. Usually, such branching (from the standpoint of catastrophe theory) can be described by a Whitney fold or cusp. A characteristic feature of nontrivial branching is the presence of some small but finite disturbance of the convective equilibrium conditions. In this study the perturbation disturbing the convective equilibrium of a fluid heated from below is Stefan-law thermal radiation exchange between the boundaries of the enclosure. Natural convection with lateral heating and allowance for radiative heat transfer was previously investigated in [2].
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References
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Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No.5, pp. 47–51, September–October, 1992.
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Rusakov, S.V., Rusakova, O.L. & Tarunin, E.L. Effect of thermal radiation exchange between boundaries on convection in a gas heated from below. Fluid Dyn 27, 639–642 (1992). https://doi.org/10.1007/BF01051603
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DOI: https://doi.org/10.1007/BF01051603