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Onset and nonlinear regimes of convection of an elastoviscous fluid in a closed cavity heated from below

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Abstract

Thermal convection of an elastoviscous fluid in a horizontal square cylinder heated from below is investigated. For the description of rheological properties of the fluid, a generalized Oldroyd model is used. The study is based on a weakly nonlinear analysis and the solution of the complete nonlinear equations by a finite-difference method. The boundaries dividing the plane of rheological parameters into regions with different convection excitation mechanisms are found. The parameters of nonlinear convection regimes are determined.

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Authors
  1. K. V. Kovalevskaya
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  2. T. P. Lyubimova
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Additional information

Original Russian Text © K.V. Kovalevskaya, T.P. Lyubimova, 2011, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2011, Vol. 46, No. 6, pp. 16–26.

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Kovalevskaya, K.V., Lyubimova, T.P. Onset and nonlinear regimes of convection of an elastoviscous fluid in a closed cavity heated from below. Fluid Dyn 46, 854–863 (2011). https://doi.org/10.1134/S0015462811060020

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  • DOI: https://doi.org/10.1134/S0015462811060020

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