title: Pattern formation in liquid-vapor systems under periodic potential and shear.
abstract: In this paper the phase behavior and pattern formation in a sheared nonideal 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 varies along the flow direction. A region of the parameter space, where in the 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 loses its stability and traveling waves on the interface between the liquid and vapor regions are observed. These waves spread over the whole system with wavelength only depending on the length of the system. Velocity field patterns, characterized by a single vortex, will also be shown.
authors.affiliation: Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, Via Re David 200, 70126 Bari, Italy.
authors.forename: A
authors.initials: A
authors.lastname: Coclite
authors.affiliation: Dipartimento di Fisica, Università di Bari, and INFN, Sezione di Bari, Via Amendola 173, 70126 Bari, Italy.
authors.forename: G
authors.initials: G
authors.lastname: Gonnella
authors.affiliation: Istituto Applicazioni Calcolo, CNR, Via Amendola 122/D, 70126 Bari, Italy.
authors.forename: A
authors.initials: A
authors.lastname: Lamura
mesh_terms: D003198:Computer Simulation; D005740:Gases / Q000737:chemistry*; D057446:Hydrodynamics; D008956:Models, Chemical; D009991:Oscillometry / Q000379:methods; D044367:Phase Transition; D012212:Rheology / Q000379:methods*; D033081:Shear Strength; D012996:Solutions / Q000737:chemistry*
chemical_list: D005740:Gases; D012996:Solutions