Inertia, coarsening and fluid motion in binary mixtures
msra(1999)
摘要
Symmetric binary fluids, quenched into a regime of immiscibility, undergo
phase separation by spinodal decomposition. In the late stages, the fluids are
separated by sharply defined, but curved, interfaces: the resulting Laplace
pressure drives fluid flow. Scaling ideas (of Siggia and of Furukawa) predict
that, ultimately, this flow should become turbulent as inertial effects
dominate over viscous ones. The physics here is complex: mesoscale simulation
methods (such as Lattice Boltzmann and Dissipative Particle Dynamics) can play
an essential role in its elucidation, as we describe. Likewise, it is a matter
of experience that immiscible fluids will mix, on some lengthscale at least, if
stirred vigorously enough. A scaling theory (of Doi and Ohta) predicts the
dependence of a steady state domain size on shear rate, but assumes low
Reynolds number (inertia is neglected). Our preliminary simulation results
(three-dimensional, so far only on small systems) show little sign of the kind
of steady state envisaged by Doi and Ohta; they raise instead the possibility
of an oriented domain texture which can continue to coarsen until either
inertial effects, or (in our simulations) finite size effects, come into play.
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关键词
spinodal decomposition,lattice boltzmann,phase separation,fluid flow,dissipative particle dynamics,shear rate,steady state,low reynolds number,three dimensional
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