3-D Spinodal Decomposition in the Inertial Regime

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  • 25 February 1999
Abstract
We simulate late-stage coarsening of a 3-D symmetric binary fluid using a lattice Boltzmann method. With reduced lengths and times l,t (scales set by viscosity, density and surface tension) our datasets cover 1 < l < 10^5, 10 < t < 10^8; we achieve Reynolds numbers approaching 350. At Re > 100 we find clear evidence of Furukawa's inertial scaling (l ~ t^{2/3}), although the crossover from the viscous regime (l ~ t) is very broad. Although it cannot be ruled out, we find no indication that Re is self-limiting (l ~ t^{1/2}) as proposed by M. Grant and K. R. Elder, Phys. Rev. Lett. 82, 14 (1999).

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