For citation:
Lyubimov D. V., Kovalevskaya K. V., Lyubimova T. P. Bifurcations in the problem of thermal convection of viscoelastic fluid in a closed cavity with free boundaries heated from below. Izvestiya VUZ. Applied Nonlinear Dynamics, 2011, vol. 19, iss. 3, pp. 16-25. DOI: 10.18500/0869-6632-2011-19-3-16-25
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532.135+536.25
Bifurcations in the problem of thermal convection of viscoelastic fluid in a closed cavity with free boundaries heated from below
Autors:
Lyubimov Dmitry Viktorovich, Federal State Budget Educational Institution of Higher Professional Education "Perm State National Research University"
Kovalevskaya Kseniya Viktorovna, Institute of Continuum Mechanics of the Ural Branch of the Russian Academy of Sciences (IMSS UB RAS)
Lyubimova Tatjana Petrovna, Institute of Continuum Mechanics of the Ural Branch of the Russian Academy of Sciences (IMSS UB RAS)
Abstract:
Bifurcations in the problem of thermal convection of viscoelastic fluid in a square cavity with free boundaries heated from below are studied. General Odroyd model is used for the description of rheological behaviour of the fluid. In the frame of weakly-nonlinear analysis explicit formula is obtained for the boundary separating the rheological parameter space into domains with different type of bifurcations (super- and subcritical).
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Reference:
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Received:
24.01.2011
Accepted:
14.04.2011
Published:
29.07.2011
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