Numerical simulation of natural convection heat transfer in a cavity with finned surface under linear temperature profile

Authors

  • Mohamed Tarek ATTOUCHI Ecole National Polytechnique, Algiers, ALGERIA
  • Salah LARBI Ecole National Polytechnique, Algiers, ALGERIA
  • Sofiane KHELLADI CNAM, LIFSE, HESAM University, Paris, FRANCE

DOI:

https://doi.org/10.53907/enpesj.v3i2.223

Keywords:

Natural Convection, Enclosures, Laminar Flow, Fins, Numerical Simulation, Finite Volume Method

Abstract

This paper is dedicated to a numerical study of natural convection through a cavity with finned surface where its base temperature is variable with linear profile. An approach based on modelling of internal fluid flow around a finned surface in laminar and at steady state conditions is used. Thermal and hydrodynamic aspects of the fluid flow were analyzed through the numerical resolution of equations of fluid dynamics. For this purpose, we have developed a computer code (in Fortran 90) based on the finite volume method. The studied model consists of a rectangular cavity where vertical walls are thermally insulated, the horizontal ones are maintained at different temperatures: cold and constant temperature on the upper wall and hot temperature with linear profile on the lower wall. The Rayleigh number used is in the range of 103 to 106 and the Prandtl number is fixed at 0.71. The plotted results are related to temperature distribution, streamlines, velocity fields as well as the mean Nusselt number.

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Published

2023-12-31