Cellular automata based model for droplet spreading process

In this work Cellular Automata (CA) based droplet Spreading Process (SP) has been investigated. The core of the model is represented by CA based SP algorithm which implements one of the major features of fluid flow, i.e., mass conservation. We show that one input parameter ((x) is sufficient for this algorithm to handle variety of droplet diameters, splat shapes, and target surfaces that the droplets impact. Further, we demonstrate constructal alternatives for viscosity and surface tension, which are scales of CA grid layers (s) and splat surface curvature (7), respectively. We show that bigger s prevents the droplet from penetrating deep into the target surface crevices, and further variation of gamma results in the desired surface tension effect. Calibration of the model is carried out using scaling relations, namely alpha = alpha(Re), where Re is the Reynolds number. Results obtained in this work showed good compliance with the experimental measurements found in the literature as well as the constructal theory of droplet impact geometry.