Investigation of the onset of dislodgment of a nonpermeating oil droplet at a membrane surface: Standard models and a new force balance model

摘要: Abstract The need to determine the onset of dislodgment an oil droplet pinning over a membrane surface is important in order critical conditions at which droplets detach. Although, previous studies considered this case relation single pore, reality, relatively larger size pin multitude pore openings. In other words, contact area large enough render torque balance, was devised previously velocity, inaccurate. Another framework based on force balance developed study from velocity for pinned may be estimated. A friction assumed drag due crossflow field. proportional resultant normal that applies droplet. proportionality factor coefficient determined as ratio and force. work, we these forces addition required dislodge through computational fluid dynamic (CFD). This analysis applicable systems deformation not enough. component along small. rectangular domain with 9 × 9 vertical tubes representing pattern An released closer surface, where permeation flux carries reside surface. pressure inside adjusted such it less than entry therefore, will permeate. We seek top barely flux, used different hydrodynamic number diameters are considered, namely 8, 10 12 microns. base scenario when no pores exist. formula suggested estimate more complex multipored system using obtained numerical work validated against data exist literature excellent qualitative quantitative match obtained, builds confidence approach.