2014/01/01 by Victor Sofonea, V. Sofonea, Tonino Biciuşcă +9 · 1 citation
Business, Management and Accounting · Economics, Econometrics and Finance · Engineering · Mathematics · Physics and Astronomy · #Accounting and Financial Management #Aerosol Filtration and Electrostatic Precipitation #Art #Bubble #Business #Business, Innovation, and Economy #Cavitation #Classical mechanics #Dimensionless quantity #Fluid Dynamics and Heat Transfer #Humanities #Lattice Boltzmann Simulation Studies #Lattice Boltzmann methods #Mathematical analysis #Mathematics #Mechanics #Organizational Management and Innovation #Physics #Political science #Thermodynamics #Upwind scheme #cond-mat.soft #physics.comp-ph
paper · pdf · doi:10.1103/physreve.97.023309
published as Phys. Rev. E 97, 023309 (2018) · Accepted for publication in Phys. Rev. E
openalex publication_date 2014/01/01 · openalex created_date 2016/06/24 · arxiv created 2018/02/05 · arxiv updated 2018/10/22 · openalex updated_date 2026/08/01
Aiming to study the bubble cavitation problem in quiescent and sheared liquids, a third-order isothermal lattice Boltzmann model that describes a two-dimensional (2D) fluid obeying the van der Waals equation of state, is introduced. The evolution equations for the distribution functions in this off-lattice model with 16 velocities are solved using the corner-transport-upwind (CTU) numerical scheme on large square lattices (up to 6144×6144 nodes). The numerical viscosity and the regularization of the model are discussed for first- and second-order CTU schemes finding that the latter choice allows to obtain a very accurate phase diagram of a nonideal fluid. In a quiescent liquid, the present model allows us to recover the solution of the 2D Rayleigh-Plesset equation for a growing vapor bubble. In a sheared liquid, we investigated the evolution of the total bubble area, the bubble deformation, and the bubble tilt angle, for various values of the shear rate. A linear relation between the dimensionless deformation coefficient D and the capillary number Ca is found at small Ca but with a different factor than in equilibrium liquids. A nonlinear regime is observed for Ca≳0.2.