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Research Papers: SPECIAL SECTION PAPERS

Computation of Mixed Convection and Volumetric Radiation in Vertical Channel Based on Hybrid Thermal Lattice Boltzmann Method

[+] Author and Article Information
Soufiane Derfoufi

Laboratoire de Mécanique & Energétique,
Département de Physique,
Faculté des Sciences,
Université Mohammed 1er,
Oujda 60000, Maroc
e-mail: Soufiane.derf@gmail.com

Fayçal Moufekkir, Ahmed Mezrhab

Laboratoire de Mécanique & Energétique,
Département de Physique,
Faculté des Sciences,
Université Mohammed 1er,
60000 Oujda, Maroc

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received September 8, 2014; final manuscript received February 3, 2016; published online June 1, 2016. Assoc. Editor: Dennis A. Siginer.

J. Heat Transfer 138(9), 091003 (Jun 01, 2016) (8 pages) Paper No: HT-14-1592; doi: 10.1115/1.4032948 History: Received September 08, 2014; Revised February 03, 2016

The present paper presents a numerical study of mixed convection coupled with volumetric radiation in a vertical channel. The geometry of the physical model consists of two isothermal plates. The governing equations of the problem are solved using a hybrid scheme of the lattice Boltzmann method (LBM) and finite-difference method (FDM). The main objective of this study is to evaluate the influence of the Richardson number (Ri) and the emissivity of the walls (εi) on the heat transfer, on the flow, and on the temperature distribution. Results show that Richardson number and emissivity have a significant effect on heat transfer and air flow.

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Figures

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Fig. 1

(a) Schematic geometry of the channel with boundary conditions, (b) LBM lattice for dynamic problem, and (c) LBM lattice for radiative problem

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Fig. 2

Bounce-back boundary condition. xf: last fluid node, xw: physical wall, and xs: first solid node.

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Fig. 3

Comparison of isotherms (a), streamlines (b), and variation of axial centerline velocity with channel height for two values of channel width L (c)

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Fig. 4

Comparison of streamlines (a) and variations of radiative wall heat fluxes with channel height for various values of ε (b)

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Fig. 5

Variation of average total Nusselt number with emissivity for various Richardson numbers (Ra=105, τ=1)

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Fig. 6

Variation of axial centerline velocity with channel height for various emissivity of walls (Ri=0.1, Ra=105, and τ=1)

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Fig. 7

Variation of axial centerline velocity with channel height for various emissivity of walls (Ri=1, Ra=105, and τ=1)

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Fig. 8

Variation of axial centerline velocity with channel height for various emissivity of walls (Ri=10, Ra=105, and τ=1)

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Fig. 9

Variation of median temperature with channel height for various emissivity of walls (Ri=0.1, Ra=105, and τ=1)

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Fig. 10

Variation of median temperature with channel height for various emissivity of walls (Ri=1, Ra=105, and τ=1)

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Fig. 11

Variation of median temperature with channel height for various emissivity of walls (Ri=10, Ra=105, and τ=1)

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