Retraction and breakup of a thin liquid sheet in a rotating field

We analyze the breakup morphology and retraction dynamics of the thin liquid sheet with a nucleated hole under an external rotational field. We have carried out three-dimensional numerical simulations using the open-source solver Gerris using the VOF technique. The study involves two control parameters, namely, the Ohnesorge number (Oh) varied in the range 10^-2 ≤ Oh ≤ 10² and Ekman number (Ek) in the range of 10^-2 ≤ Ek ≤ 10². The main objective of the present study is to explore the impact of the Coriolis forces on the sheet breakup and study the alteration in the Taylor-Culick retraction process under the impact of Coriolis forces. The results indicate that the Taylor-Culick retraction is suppressed under the influence of the external rotational field. Furthermore, we have presented a regime map between the Ohnesorge number and the Ekman number where we have identified four different regimes, namely, (1) Stabilized sheet retraction (2) Catastrophic breakup at low Ohnesorge number (3) Oscillating hole on the sheet and (4) Nucleated hole moving in an elliptical path. Also, we have performed force balance to delineate the mechanism responsible for each of the regime.