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When two liquids with different surface tensions come into contact, theliquid with lower surface tension spreads over the other. This Marangoni-drivenspreading has been studied for various geometries and surfactants, but thedynamics of the binary geometry (drop-drop) has hardly been quantitativelyinvestigated, despite its relevance for drop encapsulation applications. Herewe use laser-induced fluorescence (LIF) to temporally resolve the distance$L(t)$ over which a low-surface-tension drop spreads over a misciblehigh-surface-tension drop. $L(t)$ is measured for various surface tensiondifferences between the liquids and for various viscosities, revealing apower-law $L(t)\sim t^{\alpha}$ with a spreading exponent $\alpha \approx0.75$. This value is consistent with previous results for viscosity-limitedspreading over a deep bath. A single power law of rescaled distance as afunction of rescaled time reasonably captures our experiments, as well asdifferent geometries, miscibilities, and surface tension modifiers (solventsand surfactants). This result enables engineering the spreading dynamics of awide range of liquid-liquid systems.

Marangoni-driven spreading of miscible liquids in the binary drop geometry