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Journal of Applied Mathematics
Volume 2012, Article ID 135173, 12 pages
Research Article

Flow Simulations Using Two Dimensional Thermal Lattice Boltzmann Method

Department of Mechanical Engineering and Mechanics, Lehigh University, 27 Memorial Drive West, Bethlehem, PA 18015, USA

Received 13 February 2012; Accepted 9 April 2012

Academic Editor: Shuyu Sun

Copyright © 2012 Saeed J. Almalowi and Alparslan Oztekin. 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.


Lattice Boltzmann method is implemented to study hydrodynamically and thermally developing steady laminar flows in a channel. Numerical simulation of two-dimensional convective heat transfer problem is conducted using two-dimensional, nine directional D2Q9 thermal lattice Boltzmann arrangements. The velocity and temperature profiles in the developing region predicted by Lattice Boltzmann method are compared against those obtained by ANSYS-FLUENT. Velocity and temperature profiles as well as the skin friction and the Nusselt numbers agree very well with those predicted by the self-similar solutions of fully developed flows. It is clearly shown here that thermal lattice Boltzmann method is an effective computational fluid dynamics (CFD) tool to study nonisothermal flow problems.