# Microdroplet self-propulsion during dropwise condensation on   lubricant-infused surfaces

**Authors:** Jianxing Sun, Patricia Weisensee

arXiv: 1903.06906 · 2019-10-24

## TL;DR

This study reveals that microdroplets on lubricant-infused surfaces self-propel due to capillary forces, enhancing droplet sweeping and heat transfer during water vapor condensation.

## Contribution

It uncovers the mechanism of gravity-independent microdroplet self-propulsion driven by lubricant menisci, with quantitative analysis linking velocity to droplet size and oil viscosity.

## Key findings

- Microdroplets as small as 2 μm undergo self-propulsion.
- Maximum droplet velocity is inversely proportional to oil viscosity.
- Self-propulsion enhances droplet sweeping and heat transfer efficiency.

## Abstract

Water vapor condensation is common in nature and widely used in industrial applications, including water harvesting, power generation, and desalination. As compared to traditional filmwise condensation, dropwise condensation on lubricant-infused surfaces (LIS) can lead to an order-of-magnitude increase in heat transfer rates. Small droplets (with the diameter below 100 $\mu$m) account for nearly 85 percent of the total heat transfer and droplet sweeping plays a crucial role in clearing nucleation sites, allowing for frequent re-nucleation. Here, we focus on the dynamic interplay of microdroplets with the thin lubricant film during water vapor condensation on LIS. Coupling high-speed imaging, optical microscopy, and interferometry, we show that the initially uniform lubricant film re-distributes during condensation. Governed by lubricant height gradients, microdroplets as small as 2 $\mu$m in diameter undergo rigorous and gravity-independent self-propulsion, travelling distances multiples of their diameters at velocities up to 1100 $\mu$m/s. Although macroscopically the movement appears to be random, we show that on a microscopic level capillary attraction due to asymmetrical lubricant menisci causes this gravity-independent droplet motion. Based on a lateral force balance analysis, we quantitatively find that the sliding velocity initially increases during movement, but decreases sharply at shorter inter-droplet spacing. The maximum sliding velocity is inversely proportional to the oil viscosity and is strongly dependent of the droplet size, which is in excellent agreement with the experimental observations. This novel and non-traditional droplet movement is expected to significantly enhance the sweeping efficiency during dropwise condensation, leading to higher nucleation and heat transfer rates.

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Source: https://tomesphere.com/paper/1903.06906