Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-12-11
Physics
Condensed Matter
Statistical Mechanics
6 pages with 2 figure, to be published in J.Mod.Phys B
Scientific paper
10.1142/S0217979203017023
With the Lattice Boltzmann method (using the BGK approximation) we investigate the dynamics of Hele-Shaw flow under conditions corresponding to various experimental systems. We discuss the onset of the instability (dispersion relation), the static properties (characterization of the interface) and the dynamic properties (growth of the mixing zone) of simulated Hele-Shaw systems. We examine the role of reactive processes (between the two fluids) and we show that they have a sharpening effect on the interface similar to the effect of surface tension.
Boon Jean Pierre
Grosfils Patrick
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