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Non-linear approximations for natural convection in a horizontal annulus
Authors:Bejo Duka  Arianna Passerini  Stefano Piva
Affiliation:a Department of Physics, Faculty of Sciences, University of Tirana, Bulevardi Zogu I, Tirana, Albania
b Dipartimento di Fisica e Sezione INFN, Universitá di Ferrara, via Saragat, 1, I-44100 Ferrara, Italy
c Dipartimento di Ingegneria, Universitá di Ferrara, via Saragat, 1, I-44100 Ferrara, Italy
Abstract:Two different problems are proposed as approximations of the usual system modelling natural convection under the Oberbeck-Boussinesq assumptions. The error is evaluated by means of the norm of its gradient in the Hilbert space. The average Nusselt number is also estimated.
Keywords:Oberbeck-Boussinesq approximation   Natural convection   Nusselt number
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