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3D Spinodal Decomposition in the Inertial Regime

V. M. Kendon·J-C. Desplat·P. Bladon·M. E. Cates
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Abstract

We simulate late-stage coarsening of a 3D symmetric binary fluid using a lattice Boltzmann method. With reduced lengths and times l and t respectively (scales set by viscosity, density and surface tension) our data sets 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. Though 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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V. M. Kendon, J-C. Desplat, P. Bladon, M. E. Cates. 1999-07-29. 3D Spinodal Decomposition in the Inertial Regime. https://doi.org/10.1103/physrevlett.83.576

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