corner
corner

Phys. Rev. E 68, 052601 (2003) [4 pages]

How closely can a solid approach an air-water surface without becoming wet?

Download: PDF (85 kB) Buy this article Export: BibTeX or EndNote (RIS)

F. P. A. Cortat and S. J. Miklavcic
Department of Science and Technology, Linköping University, Campus Norrköping, S-601 74 Norrköping, Sweden

Received 4 April 2003; revised 16 July 2003; published 20 November 2003

Through a study of the van der Waals interaction between a solid and an air-water interface, we investigate the practical and fundamental problem of the limiting height at which an object can approach a free surface. A numerical study of the interface shape reveals dependencies governed by two disparate length scales associated with the relative strengths of the van der Waals and bouyancy forces, to surface tension. A study of the limits of solvability of the governing equation has led to the principal result: a closed-form expression for the absolute limiting height to which an object can be lowered to the air-water interface. The formula depends explicitly and only on the Hamaker constant of the van der Waals force and the geometry of the solid.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.68.052601
DOI:
10.1103/PhysRevE.68.052601
PACS:
68.03.Cd, 68.03.Hj