Parallel Simulation of Multiphase Flows Using the Volume-of-fluid Method — Revised

This article numerically investigates the appearance of instabilities in two planar coflowing liquids sheets. As a function of the momentum ratio, two different regimes are distinguished. At low momentum ratios the frequency of the waves appearing in the primary atomization region are influenced by the liquid velocity, whereas an asymptotic regime is obtained for large momentum ratios. In this regime, the gas velocity and the ratio between the gas boundary layer and the thickness of the separator plate influence the observed frequency. Current computational results are in agreement with Ben Rayana’s experimental observations [1].This version of the paper was revised after submission to the conference for the proceedings on CD-ROM NOMENCLATURE A Amplitude of the interface oscillation. e Thickness of the separator plate. L Thickness of the liquid and gas sheet. f Frequency. M Momentum ratio. N Number of discrete frequencies. r Density ratio. Re Reynolds number. t Time. U Velocity. We Weber number. x Horizontal coordinate. y Vertical coordinate. δ Thickness of the boundary layer. ∆x Grid size. λ Wavelength. μ Dynamic viscosity. ρ Density. ω Angular frequency.