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Natural convection between two concentric spheres: transition toward a multicellular flow

Caltagirone, Jean-Paul and Combarnous, M. and Mojtabi, Abdelkader Natural convection between two concentric spheres: transition toward a multicellular flow. (1980) Numerical Heat Transfer, 3 (1). 107-114. ISSN 0149-5720

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Official URL: http://doi.org/10.1080/01495728008961749


A moderate temperature difference maintained between two concentric spherical surfaces induces, in steady state, unicellular toroidal movements in the enclosed fluid. Beyond a critical temperature difference, the flow becomes unstable and the convective phenomena rearrange into counter-rotating toroidal cells. A two-dimensional axisymmetric numerical model confirms the existence of a unicellular regime and shows that, beyond the critical conditions and for the same set of parameters, two convergent solutions can be obtained. One is unicellular and the other is bicellular; in the latter, the additional cell appears at the top of the layer. The initial conditions determine which one of these two will be established. This transition is investigated as a function of several parameters and the results are compared with the experimental results in the literature.

Item Type:Article
HAL Id:hal-02134671
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
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Deposited On:07 Sep 2018 12:57

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