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Mathematical Problems in Engineering
Volume 2017, Article ID 3834170, 11 pages
Research Article

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

Faculty of Sciences Semlalia, Cadi Ayyad University, LMFE, BP 2390, 40000 Marrakech, Morocco

Correspondence should be addressed to Z. Zrikem;

Received 1 February 2017; Accepted 6 April 2017; Published 18 June 2017

Academic Editor: Arturo Pagano

Copyright © 2017 L. El Moutaouakil et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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 (), and the Rayleigh number ().