Effects of the surface stretching or the surface deformation rate on the breakup of a viscous drop in simple shear flow: Numerical simulation

Abstract

This chapter explores the effects of surface stretching or surface deformation rate in the dynamics of drop deformation and breakup in simple shear flow between parallel plates. It also discusses the effect of turbulence on the modulation of a liquid jet using direct numerical simulations (DNS) and volume of fluid (VOF) method. The fluid is composed of two immiscible liquids of different densities and viscosities. To account for the surface deformation rate, the interfacial stress tensor is extended by involving a viscous part besides the known inviscid term. Firstly, the results of a liquid jet ejected into a gas phase modulated by turbulence are shown, which states th surface viscosity can have a stabilizing effect on the droplet and should not be neglected. Next the influences of the deformation rate and capillary number on the drop are pointed out. Finally, the results are compared qualitatively well with existing theoretical knowledge and previous experimental data.