Lattice Boltzmann simulations of phase separation in chemically reactive binary fluids

Abstract

We use a lattice Boltzmann method to study pattern formation in chemically reactive binary fluids in the regime where hydrodynamic effects are important. The coupled equations solved by the method are a Cahn-Hilliard equation, modified by the inclusion of a reactive source term, and the Navier-Stokes equations for conservation of mass and momentum. The coupling is two-fold, resulting from the advection of the order-parameter by the velocity field and the effect of fluid composition on pressure. We study the the evolution of the system following a critical quench for a linear and for a quadratic reaction source term. Comparison is made between the high and low viscosity regimes to identify the influence of hydrodynamic flows. In both cases hydrodynamics is found to influence the pathways available for domain growth and the eventual steady-states.

15 pages, 21 figure

References in corpus (6)

• Theory of Phase Ordering Kinetics
• Simulation of non-ideal gases and liquid-gas phase transitions by lattice Boltzmann equation
• Inertial effects in three dimensional spinodal decomposition of a symmetric binary fluid mixture: A lattice Boltzmann study
• Breakdown of scale-invariance in the coarsening of phase-separating binary fluids
• Simulations of liquid crystal hydrodynamics
• Nonequilibrium orientational patterns in two-component Langmuir monolayers

Cited by in corpus (7)

• Lattice Boltzmann study on Kelvin-Helmholtz instability: the roles of velocity and density gradients
• A multi-component discrete Boltzmann model for nonequilibrium reactive flows
• Phase separation in thermal systems: LB study and morphological characterization
• FFT-LB modeling of thermal liquid-vapor systems
• Segregation in noninteracting binary mixture
• Advection selects pattern in multistable emulsions of active droplets
• Fluid flow and spatiotemporal chaos in chemically active emulsions