Application of Young’s equation to two immiscible liquids resting on a solid substrate

Abstract

The geometry of two immiscible liquid drops (water and mercury) resting on a solid substrate is reported. The problem under investigation is a very simple situation of a non-miscible two-phase liquid system which is properly documented. The simple experimental observation of water micro drop on top of a mercury drop on polypropylene substrate is discussed. The static situation of the drops is explored, and a new equation is derived for such situation by applying Young’s equation to the contact angles. The obtained equation simply represents the additive summation of Young equations for two independent drops, and may be applied for the case when the interfaces of two drops are close to each other and hence interact. The forces at the contact lines of each drop are treated separately as well as in correlation. This paper shows a schematic representation of two-liquid phase contact angle system. The value of this work may be appreciated from a pedagogical point of view.