ANALYSIS OF PRESSURE GRADIENTS VARIATION ON DROPLETS WITH SURFACE FORCE
Abstract
This study explores the behavior of droplets under the influence of surface forces and pressure gradients, which are critical to many natural and industrial applications such as microfluidics and drug delivery systems. While previous research has extensively examined surface tension, the combined effects of surface forces and pressure gradients on droplet dynamics remain less understood. To bridge this knowledge gap, a mathematical model was developed using the method of separation of variables to analyze droplet behavior under varying pressure and surface force conditions.
The model predicts changes in droplet shape, size, and stability as pressure gradients and surface forces fluctuate. Numerical simulations and experimental validation confirm that increasing surface forces slows droplet velocity. The study also examines the role of surfactants and the influence of exponential pressure gradients, showing that higher surfactant concentrations further inhibit droplet movement. These findings provide valuable insights for improving droplet-based processes in microfluidic systems and drug delivery technologies, offering potential for enhanced control and efficiency.
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