BIFURCATIONS IN THE PROBLEM OF THERMAL CONVECTION OF VISCOELASTIC FLUID IN A CLOSED CAVITY WITH FREE BOUNDARIES HEATED FROM BELOW


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Lyubimov D. V., Kovalevskaya К. V., Lyubimova Т. 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: https://doi.org/10.18500/0869-6632-2011-19-3-16-25


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 weakly­nonlinear analysis explicit formula is obtained for the boundary separating the rheological parameter space into domains with different type of bifurcations (super­ and subcritical).

DOI: 
10.18500/0869-6632-2011-19-3-16-25
Literature

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BibTeX

@article{Любимов -IzvVUZ_AND-19-3-16,
author = {D. V. Lyubimov and К. V. Kovalevskaya and Т. P. Lyubimova},
title = {BIFURCATIONS IN THE PROBLEM OF THERMAL CONVECTION OF VISCOELASTIC FLUID IN A CLOSED CAVITY WITH FREE BOUNDARIES HEATED FROM BELOW},
year = {2011},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {19},number = {3},
url = {https://old-andjournal.sgu.ru/en/articles/bifurcations-in-the-problem-of-thermal-convection-of-viscoelastic-fluid-in-closed-cavity},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2011-19-3-16-25},pages = {16--25},issn = {0869-6632},
keywords = {Viscoelastic fluid,convection,closed cavity,weakly­nonlinear analysis,super­critical bifurcation,subcritical bifurcation.},
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 weakly­nonlinear analysis explicit formula is obtained for the boundary separating the rheological parameter space into domains with different type of bifurcations (super­ and subcritical). }}