3D spinodal decomposition in the inertial regime

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

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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 (with scales set by viscosity, density, and surface tension), our data sets cover 1 ≲ l ≲ 105 and 10 ≲ t ≲ 108. We achieve Reynolds numbers approaching 350. At Re ≳ 100 we find clear evidence of Furukawa’s inertial scaling (l ˜ t2/3), 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 ˜ t1/2) as proposed by M. Grant and K. R. Elder [Phys. Rev. Lett. 82, 14 (1999)].
Original languageEnglish
Pages (from-to)576-579
Number of pages4
JournalPhysical Review Letters
Issue number3
Publication statusPublished - 19 Jul 1999


  • 3D symmetric binary fluid
  • lattice Boltzmann method
  • Reynolds numbers


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