The flow of lattice gas in a twodimensional channel  The development of a Poiseuille profile
Abstract
A lattice gas model is presented for the flow between two planes placed parallel to the gas flow. The model assumes a flow of particles closely resembling that of a liquid, and attention is given to flow characteristics at various points of a grid. The calculations proceed by assuming a random distribution particle on one side of the flow and a Poiseuille profile on the other. The density and velocity are sampled at points of the lattice after each iteration. Sample results indicate a monotonic increase occurs in the tangential velocity at the center of the channel, leading to a parabolic velocity profile far downstream. The results are compared with the predictions of Shlichting theory and previous experimental data. The accuracy of the method is demonstrated in both cases.
 Publication:

Academie des Sciences Paris Comptes Rendus Serie Sciences Mathematiques
 Pub Date:
 April 1986
 Bibcode:
 1986CRASM.302..983D
 Keywords:

 Channel Flow;
 Computational Fluid Dynamics;
 Gas Flow;
 Laminar Flow;
 Parallel Flow;
 Two Dimensional Flow;
 Flow Measurement;
 Lattices;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer