Pattern Formation in Liquid-Vapor Systems under Periodic Potential and Shear

Abstract

In this paper the phase behavior and pattern formation in a sheared non-ideal fluid under a periodic potential is studied. An isothermal two-dimensional formulation of a lattice Boltzmann scheme for a liquid-vapor system with the van der Waals equation of state is presented and validated. Shear is applied by moving walls and the periodic potential will vary along the flow direction. A region of the parameter space, where in absence of flow a striped phase with oscillating density is stable, will be considered. At low shear rates the periodic patterns are preserved and slightly distorted by the flow. At high shear rates the striped phase looses its stability and a new phase with interface waves between the liquid and vapor regions will appear. Velocity field patterns will be also shown.

Accepted for publication on Phys. rev. E

References in corpus (13)

• Forcing scheme in pseudopotential lattice Boltzmann model for multiphase flows
• Efficient kinetic method for fluid simulation beyond the Navier-Stokes equation
• Slip flow over structured surfaces with entrapped microbubbles
• Eliminating spurious velocities in the free energy lattice Boltzmann method
• Thermodynamic consistency of liquid-gas lattice Boltzmann simulations
• Additional interfacial force in lattice Boltzmann models for incompressible multiphase flows
• Phase separation in thermal systems: LB study and morphological characterization
• A Symmetric Free Energy Based Multi-Component Lattice Boltzmann Method
• Interface Width and Bulk Stability: requirements for the simulation of Deeply Quenched Liquid-Gas Systems
• Phase separation of binary fluids with dynamic temperature
• Thermal and hydrodynamic effects in the ordering of lamellar fluids
• Fluid phase separation inside a static periodic field: an effectively two-dimensional critical phenomenon
• Phase separation in fluids exposed to spatially periodic external fields

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