3D numerical simulations of shear flow with inertia past droplets adhering on a wall

Abstract

We investigate here shear flow past a droplet adhering on a wall. Results were obtained for the 3D problem with inertia by using a diffuse-interface method. First, conditions are considered wherein droplets, after an initial transient, attain a steady state shape, due to contact angle hysteresis. Results are presented for drop shapes, and the shape of the contact lines, at the critical conditions beyond which no steady shape is found. Results are also presented for the critical conditions for the onset of droplet motion as a function of a Reynolds number. The results compare well with those reported in previous work for creeping flows in that asymptotic limit. The final part of the presentation focuses on the complex structure of the wake behind the droplets, and results will be shown wherein droplets either break up, detach, or continue to move along the wall.