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research-article

Lattice Boltzmann Method for combined natural convection surface radiation in open cavity

[+] Author and Article Information
Ayoub Msaddak

Thermal Radiation Research Unit, Faculty of Sciences of Tunis, University of Tunis EL Manar, El Manar 1, 2092 Tunis, Tunisia
ayoub.msaddak@fst.utm.tn

Mohieddine Ben Salah

Thermal Process Laboratory, Center of Research and Energy Technology, 2050 Hammam Lif, Tunisia
mohieddine2002@yahoo.com

Ezeddine Sediki

Thermal Radiation Research Unit, Faculty of Sciences of Tunis, University of Tunis EL Manar, El Manar 1, 2092 Tunis, Tunisia
sediki.ezeddine@fst.utm.tn

1Corresponding author.

ASME doi:10.1115/1.4039925 History: Received July 03, 2017; Revised February 16, 2018

Abstract

Lattice Boltzmann method is performed to study numerically combined natural convection and surface radiation inside an inclined 2D open square cavity. The cavity is heated by a constant temperature at the wall facing the opening.The walls normal to the heated surface are assumed to be adiabatic, diffuse, gray and opaque while the open boundary is assumed to be black at ambient temperature. A BGK collision model with double distribution function (D2Q9-D2Q4) is adopted. Effects of surface radiation, inclination angle and Rayleigh number on the heat transfer are analyzed and discussed. Results are presented in terms of isotherms, streamlines, and Nusselt number. It was found that the presence of surface radiation enhances the heat transfer. The convective Nusselt number decreases with increasing surface emissivity as well as with Rayleigh number, while the total Nusselt number increases with increasing surface emissivity and Rayleigh number. The inclination angle has also a significant effect on flow and heat transfer inside the cavity. However, the magnitude of total heat transfer decreases considerably when open cavity is tilted downward.

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