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We present evidence, based on lattice Boltzmann simulations, to show that the coarsening of the domains in phase separating binary fluids is not a scale-invariant process. Moreover we emphasise that the pathway by which phase separation…

Soft Condensed Matter · Physics 2009-10-30 Alexander J. Wagner , J. M. Yeomans

We apply lattice Boltzmann method to study the phase separation of a two-dimensional binary fluid mixture in shear flow. The algorithm can simulate systems described by the Navier-Stokes and convection-diffusion equations. We propose a new…

Condensed Matter · Physics 2009-10-31 A. Lamura , G. Gonnella

We apply lattice Boltzmann methods to study the relaxation of the velocity profile in binary fluids under shear during spinodal decomposition. In simple fluids, when a shear flow is applied on the boundaries of the system, the time required…

Fluid Dynamics · Physics 2007-05-23 Aiguo Xu , G. Gonnella

We simulate by lattice Boltzmann the steady shearing of a binary fluid mixture with full hydrodynamics in three dimensions. Contrary to some theoretical scenarios, a dynamical steady state is attained with finite correlation lengths in all…

Statistical Mechanics · Physics 2009-11-13 K. Stratford , J. -C. Desplat , P. Stansell , M. E. Cates

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…

Condensed Matter · Physics 2007-05-23 M. E. Cates , V. M. Kendon , P. Bladon , J-C. Desplat

We study numerically phase separation in a binary fluid subject to an applied shear flow in two dimensions, with full hydrodynamics. To do so, we introduce a mixed finite-differencing/spectral simulation technique, with a transformation to…

Statistical Mechanics · Physics 2009-11-13 Suzanne M. Fielding

We apply lattice Boltzmann methods to study the segregation of binary fluid mixtures under oscillatory shear flow in two dimensions. The algorithm allows to simulate systems whose dynamics is described by the Navier-Stokes and the…

Soft Condensed Matter · Physics 2009-11-07 Aiguo Xu , G. Gonnella , A. Lamura

The late-stage demixing following spinodal decomposition of a three-dimensional symmetric binary fluid mixture is studied numerically, using a thermodynamicaly consistent lattice Boltzmann method. We combine results from simulations with…

Condensed Matter · Physics 2019-06-19 V. M. Kendon , M. E. Cates , J-C. Desplat , I. Pagonabarraga , P. Bladon

The behavior of a phase separating binary mixture in uniform shear flow is investigated by numerical simulations and in a renormalization group (RG) approach. Results show the simultaneous existence of domains of two characteristic scales.…

Condensed Matter · Physics 2012-04-05 F. Corberi , G. Gonnella , A. Lamura

We computationally study the spontaneous phase separation of ternary fluid mixtures using the lattice Boltzmann method, both when all the surface tensions are equal and when they have different values. Previous theoretical works typically…

Soft Condensed Matter · Physics 2022-08-01 Alvin C. M. Shek , Halim Kusumaatmaja

We simulate by lattice Boltzmann the steady shearing of a binary fluid mixture undergoing phase separation with full hydrodynamics in two dimensions. Contrary to some theoretical scenarios, a dynamical steady state is attained with finite…

Statistical Mechanics · Physics 2009-11-11 P. Stansell , K. Stratford , J. -C. Desplat , R. Adhikari , M. E. Cates

The dynamics of phase separation for a binary fluid subjected to a uniform shear are solved exactly for a model in which the order parameter is generalized to an n-component vector and the large-n limit taken. Characteristic length scales…

Statistical Mechanics · Physics 2009-10-31 N. P. Rapapa , A. J. Bray

We use lattice Boltzmann simulations to study the effect of shear on the phase ordering of a two-dimensional binary fluid. The shear is imposed by generalising the lattice Boltzmann algorithm to include Lees-Edwards boundary conditions. We…

Soft Condensed Matter · Physics 2009-10-31 A. J. Wagner , J. M. Yeomans

We describe some scaling issues that arise when using lattice Boltzmann methods to simulate binary fluid mixtures -- both in the presence and in the absence of colloidal particles. Two types of scaling problem arise: physical and…

Soft Condensed Matter · Physics 2009-11-10 M. E. Cates , J. -C. Desplat , P. Stansell , A. J. Wagner , K. Stratford , R. Adhikari , I. Pagonabarraga

Phase separation of binary fluids quenched by contact with cold external walls is considered. Navier-Stokes, convection-diffusion, and energy equations are solved by lattice Boltzmann method coupled with finite-difference schemes. At high…

Soft Condensed Matter · Physics 2015-05-20 G. Gonnella , A. Lamura , A. Piscitelli , A. Tiribocchi

A coarse grained description of a two phase fluid is used to study the steady state configuration of the interface separating the coexisting phases, and the motion of the contact line at which the interface intersects a solid boundary. The…

Statistical Mechanics · Physics 2009-10-31 Hsuan-Yi Chen , David Jasnow , Jorge Vinals

We simulate the dynamics of phase assembly in binary immiscible fluids and ternary microemulsions using a three-dimensional hydrodynamic lattice gas approach. For critical spinodal decomposition we perform the scaling analysis in reduced…

Soft Condensed Matter · Physics 2009-11-07 Peter J. Love , Peter V. Coveney , Bruce M. Boghosian

The phase-separation kinetics of binary fluids in shear flow is studied numerically in the framework of the continuum convection-diffusion equation based on a Ginzburg-Landau free energy. Simulations are carried out for different…

Condensed Matter · Physics 2009-10-31 F. Corberi , G. Gonnella , A. Lamura

We extend a recently proposed ternary free energy lattice Boltzmann model with high density contrast, by incorporating wetting boundaries at solid walls. The approaches are based on forcing and geometric schemes, with implementations…

Fluid Dynamics · Physics 2019-07-31 Neeru Bala , Marianna Pepona , Ilya Karlin , Halim Kusumaatmaja , Ciro Semprebon

By performing lattice Boltzmann simulations of a binary mixture, we scrutinize the dynamical scaling hypothesis for the spinodal decomposition of binary mixtures for the crossover region, i.e. the region of parameters in the growth curve…

Soft Condensed Matter · Physics 2007-05-23 Ignacio Pagonabarraga , Alexander J. Wagner , M. E. Cates
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