Physics – Fluid Dynamics
Scientific paper
2009-11-03
Eur. Phys. J. Special Topics 171, 63-71 (2009)
Physics
Fluid Dynamics
9 pages, 7 figures, DSFD 2007 proceedings
Scientific paper
10.1140/epjst/e2009-01012-0
We investigate the dynamics of capillary filling using two lattice Boltzmann schemes: a liquid-gas model and a binary model. The simulation results are compared to the well-known Washburn's law, which predicts that the filled length of the capillary scales with time as $l \propto t^{1/2}$. We find that the liquid-gas model does not reproduce Washburn's law due to condensation of the gas phase at the interface, which causes the asymptotic behaviour of the capillary penetration to be faster than $t^{1/2}. The binary model, on the other hand, captures the correct scaling behaviour when the viscosity ratio between the two phases is sufficiently high.
Kusumaatmaja Halim
Pooley C. M.
Yeomans Julia M.
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