Cheerios Effect on SLIPS

The Cheerios effect explains why objects that float on the surface of a liquid want to clump together. This is true of objects that result in the liquid creating an upward-pointing meniscus or those with a downward-pointing meniscus. However, objects with opposite-pointing meniscii want to repel. This is illustrated schematically in the image below.

Schematic representation of movement of objects with different meniscii.
In the top two panels, the meniscii between two objects (drawn as yellow spheres) point in the same direction, so the objects attract. In the bottom panel, the meniscii point in opposite directions so the objects repel.

Objects will also want to clump to the edge of their container if the meniscus between the fluid and container curves in the same direction as that between the object and the fluid.

We can use the same concept behind the Cheerios effect to actively position droplets on a macro-patterned slippery lubricant-impregnated porous surface (SLIPS). First we can pattern a Silicon wafer to contain “steps” using SU-8 photoresist. The pattern is then spray-coated and dip-coated in oil. The process ias illustrated schematically below. The macro-patterning produces meniscii features in the impregnating liquid layer that interact with water droplets in a similar way to in the Cheerios effect.

Schematic ilustration of how to produce a macro-patterned surface.
Schematic Illustration of how to create a patterned surface

Example – V-shaped structure

To illustrate the concept, we constructed a V-shaped structure as a model system. A schematic illustration of the top view of the result is shown below.

Image showing the top view of V-shaped lubricant-impregnated surface.
Image from graphical abstract of paper below

A drop in positions 1 is free to move in any direction across the surface without changing energy. However, if it gets close to the wall of the V-shape (to the area shaded light green in the image above), interactions between the meniscii of the drop and lubricating fluid cause the drop to be pulled towards the wall. Once it is at the wall (as illustrated by drop 2 above), the drop can move in either direction along the wall. The drop will not move away from the wall as this would require an increase in energy. If the drop moves such that it ends up at position 3, it will become pinned there. To move from this position in any direction would result in an increase in energy. A photograph of a drop in this position is shown below.

Photograph of a drop pinned at its equilibrium position on a V-shaped patterned surface.

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