4.8 Article

Kelvin-Helmholtz instability in an ultrathin air film causes drop splashing on smooth surfaces

Publisher

NATL ACAD SCIENCES
DOI: 10.1073/pnas.1417718112

Keywords

drop impact; splash; thin air film; Kelvin-Helmholtz instability

Funding

  1. Hong Kong General Research Fund (GRF) [CUHK404211, CUHK404912]
  2. Chinese University of Hong Kong [4053081]

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When a fast-moving drop impacts onto a smooth substrate, splashing will be produced at the edge of the expanding liquid sheet. This ubiquitous phenomenon lacks a fundamental understanding. Combining experiment with model, we illustrate that the ultrathin air film trapped under the expanding liquid front triggers splashing. Because this film is thinner than the mean free path of air molecules, the interior airflow transfers momentum with an unusually high velocity comparable to the speed of sound and generates a stress 10 times stronger than the airflow in common situations. Such a large stress initiates Kelvin-Helmholtz instabilities at small length scales and effectively produces splashing. Our model agrees quantitatively with experimental verifications and brings a fundamental understanding to the ubiquitous phenomenon of drop splashing on smooth surfaces.

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