A study on natural convection in a cold square enclosure with two vertical eccentric square heat sources using IB-LBM scheme

[+] Author and Article Information
Sunil Manohar Dash

Department of Aerospace Engineering IIT Kharagpur Kharagpur, West Bengal 721302 India smdash@aero.iitkgp.ac.in

Satyabrata Sahoo

Quqrter No-C/2/15, Hawamahal IIT (ISM) Dhanbad Dhanbad, Jharkhand 826004 India satyabrata111sahoo4@gmail.com

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Thermal Science and Engineering Applications. Manuscript received October 15, 2018; final manuscript received February 3, 2019; published online xx xx, xxxx. Assoc. Editor: Aaron P. Wemhoff.

ASME doi:10.1115/1.4042858 History: Received October 15, 2018; Accepted February 04, 2019


In this article, natural convection process in a two-dimensional cold square enclosure is numerically investigated in presence of two inline square heat sources. Two different heat source boundary conditions are analysed, namely, Case – 1 (when one heat source is hot), Case – 2 (when two heat sources are hot), using in-house developed flexible forcing immersed boundary-thermal lattice Boltzmann model. The isotherms, streamlines, local and surface averaged Nusselt number distributions are analysed at ten different vertical eccentric locations of the heat sources for Rayleigh number between 103–106. Distinct flow regimes including primary, secondary, tertiary, quaternary and Rayleigh-Bernard cells are observed when the mode of heat transfer is changed from conduction to convection and heat sources eccentricity is varied. For Rayleigh number up to 104, the heat transfer from the enclosure is symmetric for the upward and downward eccentricity of the heat sources. At Rayleigh number greater than 104, the heat transfer from the enclosure is better for downward eccentricity cases that attains a maximum when heat sources are near the bottom enclosure wall. Moreover, the heat transfer rate in Case – 2 is nearly twice that of Case – 1 at all Rayleigh numbers and eccentric locations. The correlations for heat transfer are developed by relating Nusselt number, Rayleigh number and eccentricity of the heat sources.

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