Abstract

This work examines the ability of the improved pseudo-potential model in simulating the two-phase flows on the curved surface with the angular velocity. Owing to this purpose, the movement of a two-dimensional droplet on a cylinder is investigated using the lattice Boltzmann method. To calculate the cohesion forces the model of Kupershtokh is used. Also, the distribution functions near the surface are approximated using the bounce-back method with the ability to calculate the surface velocity. After validation, results are presented for two droplets with and without initial velocity. Accordingly, the effects of the capillary number and Galilei number in the static droplet and the effect of Reynolds number and Weber number for a thrown droplet are investigated considering effects of contact angle and angular velocity. Results show that increasing the Galilei number leads to droplet dripping from the cylinder, while the reduction of the capillary number causes the droplet to oscillate before reaching the equilibrium state. Also, at low angular velocities, the dripping of the droplet is accelerated but with a further increase of the angular velocity the droplet completely covers the surface of the cylinder without detaching it. On the other hand, the inertia of the droplet causes more surface wetting, while further increase in the inertia causes the droplet to be fragmented and it removes the surface before complete surface wetting.