An improved Taylor analogy model for predicting droplet deformation and orientation angle in confined shear flow

Abstract

The Taylor analogy model has proven effective in predicting droplet dispersion in spray systems and deformation in planar extensional flow. The aim of this study is to leverage the insights from the Taylor analogy model in flat flow to construct a model for predicting droplet deformation in shear flow, specifically under low Reynolds number conditions (\(Re\ll 1\)) with Newtonian fluids. Additionally, a simplified theoretical model is designed to predict droplet orientation angles, providing deeper understanding of the complex dynamics of droplets under shear flow conditions. Utilizing three-dimensional numerical analysis, the influence of viscosity ratios within the range below 1 is explored, offering a comprehensive insight into the intricate interactions between fluid properties and droplet behavior. Model validation is conducted through comparison with experimental data from existing literature, ensuring its robustness and reliability. The results demonstrate the model’s capability to accurately predict droplet deformation and orientation angles in shear flow, thereby contributing to ongoing efforts to improve droplet dynamics predictions. This advancement paves the way for more precise control and optimization in diverse fluidic applications.