Lattice Boltzmann Simulation of Natural Convection in an Annulus between a Hexagonal Cylinder and a Square Enclosure

Laminar natural convection in a water filled square enclosure containing at its center a horizontal hexagonal cylinder is studied by the lattice Boltzmann method. The hexagonal cylinder is heated while the walls of the cavity are maintained at the same cold temperature. Two orientations are treated,...

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Main Authors: L. El Moutaouakil, Z. Zrikem, A. Abdelbaki
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2017/3834170
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spelling doaj-964c1402fe754a56960874c45aaebde32020-11-24T20:51:52ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472017-01-01201710.1155/2017/38341703834170Lattice Boltzmann Simulation of Natural Convection in an Annulus between a Hexagonal Cylinder and a Square EnclosureL. El Moutaouakil0Z. Zrikem1A. Abdelbaki2Faculty of Sciences Semlalia, Cadi Ayyad University, LMFE, BP 2390, 40000 Marrakech, MoroccoFaculty of Sciences Semlalia, Cadi Ayyad University, LMFE, BP 2390, 40000 Marrakech, MoroccoFaculty of Sciences Semlalia, Cadi Ayyad University, LMFE, BP 2390, 40000 Marrakech, MoroccoLaminar natural convection in a water filled square enclosure containing at its center a horizontal hexagonal cylinder is studied by the lattice Boltzmann method. The hexagonal cylinder is heated while the walls of the cavity are maintained at the same cold temperature. Two orientations are treated, corresponding to two opposite sides of the hexagonal cross-section which are horizontal (case I) or vertical (case II). For each case, the results are presented in terms of streamlines, isotherms, local and average convective heat transfers as a function of the dimensionless size of the hexagonal cylinder cross-section (0.1≤B≤0.4), and the Rayleigh number (103≤Ra≤106).http://dx.doi.org/10.1155/2017/3834170
collection DOAJ
language English
format Article
sources DOAJ
author L. El Moutaouakil
Z. Zrikem
A. Abdelbaki
spellingShingle L. El Moutaouakil
Z. Zrikem
A. Abdelbaki
Lattice Boltzmann Simulation of Natural Convection in an Annulus between a Hexagonal Cylinder and a Square Enclosure
Mathematical Problems in Engineering
author_facet L. El Moutaouakil
Z. Zrikem
A. Abdelbaki
author_sort L. El Moutaouakil
title Lattice Boltzmann Simulation of Natural Convection in an Annulus between a Hexagonal Cylinder and a Square Enclosure
title_short Lattice Boltzmann Simulation of Natural Convection in an Annulus between a Hexagonal Cylinder and a Square Enclosure
title_full Lattice Boltzmann Simulation of Natural Convection in an Annulus between a Hexagonal Cylinder and a Square Enclosure
title_fullStr Lattice Boltzmann Simulation of Natural Convection in an Annulus between a Hexagonal Cylinder and a Square Enclosure
title_full_unstemmed Lattice Boltzmann Simulation of Natural Convection in an Annulus between a Hexagonal Cylinder and a Square Enclosure
title_sort lattice boltzmann simulation of natural convection in an annulus between a hexagonal cylinder and a square enclosure
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2017-01-01
description Laminar natural convection in a water filled square enclosure containing at its center a horizontal hexagonal cylinder is studied by the lattice Boltzmann method. The hexagonal cylinder is heated while the walls of the cavity are maintained at the same cold temperature. Two orientations are treated, corresponding to two opposite sides of the hexagonal cross-section which are horizontal (case I) or vertical (case II). For each case, the results are presented in terms of streamlines, isotherms, local and average convective heat transfers as a function of the dimensionless size of the hexagonal cylinder cross-section (0.1≤B≤0.4), and the Rayleigh number (103≤Ra≤106).
url http://dx.doi.org/10.1155/2017/3834170
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AT aabdelbaki latticeboltzmannsimulationofnaturalconvectioninanannulusbetweenahexagonalcylinderandasquareenclosure
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