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

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-02134671
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Submitted on : Monday, May 20, 2019 - 4:37:02 PM
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Jean-Paul Caltagirone, M. Combarnous, Abdelkader Mojtabi. Natural convection between two concentric spheres: transition toward a multicellular flow. Numerical Heat Transfer, 1980, 3 (1), pp.107-114. ⟨10.1080/01495728008961749⟩. ⟨hal-02134671⟩

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