Phys. Rev. E 68, 052601 (2003) [4 pages]How closely can a solid approach an air-water surface without becoming wet?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
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