Prof. Ranga Narayanan's Talk

In this chalk talk, we shall compare the stability of two distinct, equilibrium fluid configurations, viz., the pendent drop and the liquid bridge. Our main result is that the stability of these fluid bodies may be determined by knowing only their shapes. No eigenvalue problem is required to determine the neutral stability. Focusing, first on the pendent drop, we show that there are two different ways to create the drop- one by controlling the volume and the other by controlling its pressure. Our main result is easily obtained from the volume control case.