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An analytical model for natural convection in a rectangular enclosure with differentially heated vertical walls

Fichera, Alberto and Marcoux, Manuel and Pagano, Arturo and Volpe, Rosaria An analytical model for natural convection in a rectangular enclosure with differentially heated vertical walls. (2020) Energies, 13 (12). 3220. ISSN 1996-1073

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Official URL: https://doi.org/10.3390/en13123220


This paper proposes an analytical model for natural convection in a closed rectangular enclosure filled by a fluid, with imposed heat fluxes at the vertical walls and adiabatic horizontal walls. The analytical model offers a simplified, but easy to handle, description of the temperature and velocity fields. The predicted temperature, velocity, and pressure fields are shown to be in agreement with those obtained from a reliable numerical model. The Nusselt numbers for both the analytical and numerical solutions are then calculated and compared, varying both the aspect ratio of the enclosure and the Rayleigh number. Based on the comparisons, it is possible to assess the dependence of the reliability of the analytical model on the aspect ratio of the enclosure, showing that the prediction error rapidly decreases with the increase of the enclosure slenderness

Item Type:Article
Additional Information:Thanks to the editor MDPI. This article is available at: https://www.mdpi.com/. This is an Open Access article distributed under the terms of the Creative Commons Attribution License CC-BY-ND (https://creativecommons.org/licenses/by-nd/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. If you remix, transform, or build upon the material, you may not distribute the modified material.
HAL Id:hal-03212892
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)
Other partners > Università degli Studi di Catania (ITALY)
Laboratory name:
Deposited On:25 Mar 2021 12:40

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