Effect of Stationary Particles on the Phase Separation of Binary Fluids

2001 ◽  
Vol 710 ◽  
Author(s):  
Domenico Suppa ◽  
Olga Kuksenok ◽  
Anna C. Balazs ◽  
J.M. Yeomans
Keyword(s):  
Two Dimensions ◽  
Lattice Boltzmann Model ◽  
Late Time ◽  
Binary Fluids ◽  
Final Size ◽  
Time Dynamics ◽  
Simple Theoretical Model ◽  
Boltzmann Model ◽  
Fluid Interaction ◽  
Kinetics Of

ABSTRACTPhase separating binary fluids with the addition of immobile particles, which act as osmotic force centres, were simulated using a Lattice Boltzmann model in two dimensions. In the hydrodynamic over-damped limit, where the flow is entirely driven by capillary effects, the presence of particles that are preferentially wetted by one of the fluid components significantly affects the kinetics of the growth of the fluid domains. The late time dynamics is governed by the wetting interactions and the final size of the domains can be tailored by varying the strength of the particles-fluid interaction as well as the particles concentration. These features are predicted within a simple theoretical model and are amenable of experimental checks.

Application of the Lattice Boltzmann Method in Shallow Water Lake

2011 ◽  
Vol 356-360 ◽  
pp. 2333-2337
Author(s):  
Hai Fei Liu ◽  
Min Li ◽  
Yan Wei Zhao
Keyword(s):  
Shallow Water ◽  
Lattice Boltzmann ◽  
Two Dimensions ◽  
Lattice Boltzmann Model ◽  
Complex Boundaries ◽  
Set Up ◽  
Boltzmann Method ◽  
Boltzmann Model ◽  
Irregular Topography ◽  
Bed Friction

A typical sub-region of Baiyangdian Lake is selected as the practical study area, which is characterized by irregular geometry and complex bathymetry. The coupled lattice Boltzmann model for simulating shallow water flow and pollutant transport in two dimensions is set up and applied to it. The wind stress is regarded as the main driven force. The bed friction and the gravitional force relating to bed slops are involved. The simulation results well represent the flow field and the distribution of pollutant concentration under the predominant wind. This study demonstrates that the lattice Blotzmann method possesses the robust capacity to deal with complex boundaries and irregular topography.

THREE-DIMENSIONAL LATTICE BOLTZMANN MODEL RESULTS FOR COMPLEX FLUIDS ORDERING

2005 ◽  
Vol 16 (12) ◽  
pp. 1819-1830
Author(s):  
G. AMATI ◽  
F. MASSAIOLI ◽  
G. GONNELLA ◽  
AIGUO XU ◽  
A. LAMURA
Keyword(s):  
Lattice Boltzmann ◽  
Three Dimensional ◽  
Numerical Approach ◽  
Three Dimensions ◽  
Lattice Boltzmann Model ◽  
Domain Growth ◽  
Late Time ◽  
Extended Defects ◽  
Time Dynamics ◽  
Boltzmann Method

The kinetics of domain growth of fluid mixtures quenched from a disordered to a lamellar phase has been studied in three dimensions. We use a numerical approach based on the lattice Boltzmann method (LBM). A novel implementation for LBM which "fuses" the collision and streaming steps is used in order to reduce memory and bandwidth requirements. We find that extended defects between stacks of lamellae with different orientation dominate the late time dynamics.

A Lattice-Boltzmann Model for Visco-Elasticity

1997 ◽  
Vol 08 (04) ◽  
pp. 805-815 ◽  
Author(s):  
Laurent Giraud ◽  
Dominique d'HumièRes ◽  
Pierre Lallemand
Keyword(s):  
Lattice Boltzmann ◽  
Lattice Site ◽  
Transport Coefficients ◽  
Two Dimensions ◽  
Lattice Boltzmann Model ◽  
Sound Waves ◽  
Viscous Stress Tensor ◽  
Elastic Fluids ◽  
Boltzmann Model ◽  
Lattice Boltzmann Scheme

The classical lattice-Boltzmann scheme is extended in an attempt to represent visco-elastic fluids in two dimensions. At each lattice site, two new quantities are added. A suitable coupling of these quantities with the viscous stress tensor leads to a nonzero shear modulus and visco-elastic effects. A Chapman–Enskog expansion gives us the equilibrium populations and conditions for isotropy of the model. A finite wave vector analysis is needed to study the relaxation of sound waves and to determine the dependence of the transport coefficients upon the frequency.

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