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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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2017/3834170 |
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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 |
work_keys_str_mv |
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