Improved Taylor analogy model for predicting droplet breakup and large deformation in planar extensional flow

Abstract

The application of the Taylor analogy has been proven effectively in predicting the breakup of droplet within a spray system. Recently, a model of small deformation at steady and transient states within extensional flow with low Reynolds numbers has been successfully proposed by approaching the Taylor analogy. The objective of this study is to improve the Taylor analogy in laminar flow for the prediction of breakup and large deformation of the droplet in planar extensional flow by theoretical modeling and numerical analysis. The performance of the suggested model is collated using a three-dimensional numerical simulation with vast viscosity ratios and capillary numbers. The available experimental data from the literature is likewise compared with the numerical analysis outcomes for validation purposes. The proposed model could accurately predict the critical breakup condition and large deformation of droplet in extensional flow. These improvements hold significant importance for droplet dynamics studies within microfluidic systems.