2017/07/28 by Debanik Bhattacharjee, Bhattacharjee, Debanik, Hadi Nazaripoor +3
Engineering · Materials Science · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Heat Transfer #Nanomaterials and Printing Technologies #Surface Modification and Superhydrophobicity
paper · pdf · doi:10.48550/arxiv.1707.09392
openalex publication_date 2017/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The numerical prediction of droplet base radius and contact angle depends on the choice of characteristic radius and height of droplet. In this study, a developed model on the basis of lubrication approximation is used to investigate the effect of characteristic parameters on the spreading of droplets over substrates. Based on two main stages of spreading (initial and equilibrium), characteristic radius and height were first evaluated. The model predictions were then compared with experimental results in literature for both impermeable and permeable substrates. The study provides evidence that the choice of characteristic length scales based on either stage enables accurate prediction of the droplet base radius and contact angle. In addition, a new scaling relation for the predictions of the numerical disjoining pressure, with an error of ±5%, is proposed.