Che Sidik, Nor Azwadi (2007) The development of thermal lattice Boltzmann models in incompressible limit. The development of thermal lattice Boltzmann models in incompressible limit, 3 (2). pp. 193-202.
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Abstract
In this paper, an incompressible two-dimensional (2-D) and three-dimensional (3-D) thermohydrodynamics for the lattice Boltzmann scheme are developed. The basic idea is to solve the velocity field and the temperature field using two different distribution functions. A derivation of the lattice Boltzmann scheme from the continuous Boltzmann equation for 2-D is discussed in detail. By using the same procedure as in the derivation of the discretised density distribution function, we found that new lattice of four-velocity (2-D) and eight-velocity(3-D) models for internal energy density distribution function can be developed where the viscous and compressive heating effects are negligible. These models are validated by the numerical simulation of the 2-D porous plate Couette flow problem where the analytical solution exists and the natural convection flows in a cubic cavity.
Item Type: | Article |
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Subjects: | T Technology > T Technology (General) |
Divisions: | Mechanical Engineering |
ID Code: | 6607 |
Deposited By: | Mohd Sharizan Abu Bakar |
Deposited On: | 03 Nov 2008 06:40 |
Last Modified: | 01 Jun 2010 15:44 |
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