W. Jia et A. Umemura, COMPUTATION ON HEAD-ON COLLISION OF 2 IDENTICAL DROPLETS WITH CONSTANT SURFACE-TENSION COEFFICIENTS, Transactions of the Japan Society for Aeronautical and Space Sciences, 39(126), 1997, pp. 401-415
A computational model to simulate head-on collision of two identical d
roplets with constant surface tension coefficients was constructed. A
potential flow was postulated inside each droplet with a thin film vis
cous air flow between the two droplets. The potential flow was solved
by the BEM, whose tangential velocity on the collision surface was emb
edded into the analytic thin film solution to determine the minimum th
ickness of the air film. Bouncing takes place when the minimum thickne
ss is larger than the effective distance of the molecular force, while
coalescence occurs on the contrary. Detailed information on droplet d
eformation and the thin film air flow was obtained for different surfa
ce tension coefficients. It is found that the collision process progre
sses in a way that the droplet is first deformed to a flat one and the
collision area increases in time. As the curvature increases at the e
dges, the droplet recovers from its flat shape and the collision area
begins to shrink. The distance of the droplet mass center, the air fil
m thickness and the pressure on the collision surface first decrease,
approach their minimums in turn, and then increase in time. In the ear
ly stage of collision, the pressure at the center of the collision sur
face is lower than those at the droplet edges due to large curvatures
there. The tangential velocity on the collision surface initially dire
cts outward and then inward, with maximum slopes occurring at a small
distance from the droplet edges. The air film thickness exhibits a W-t
ype distribution in most of the time and changes to a U-type at the mi
nimum pressure instant. Consequently, the air film approaches its mini
mum thickness at the center of the collision surface, where a physical
coalescence may start off. The mechanism of the head-on collision of
the liquid droplets is therefore revealed.