A thin cylindrical container of radius $R$, wall thickness $2d\ll R$, and height $h=d$, filled with water, rotates at angular velocity $\Omega$. Six radial holes of $h \times h$ square cross-section are made through the wall at $60^\circ$ intervals (at clock positions 1, 3, 5, 7, 9, 11). Initially the holes are plugged so that water fills the region of radial distance $r < R + d$ as shown in the figure. The surface tension $\sigma \gg \rho d^2 R \Omega^2$, where $\rho$ denotes the water density, and the contact angle is $90^\circ$. Assume $R \gg d$ and neglect gravity. Outside air pressure is atmospheric.
All plugs are removed simultaneously; immediately after removal, the water is still at rest in the co-rotating frame, but now water can flow through the holes. Let $t=0$ be when water in one of the holes has displaced by $x$ with $x \ll d$; it appears that by $t=T_1$, it has displaced by $2x$.
A radial thin partition is now installed along the line connecting the clock positions of 12 and 6, creating two semicircular compartments with three holes in each. The experiment is repeated.
