How closely can a solid approach an air-water surface without becoming wet?
2003 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 68, no 5Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2003. Vol. 68, no 5
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-47735DOI: 10.1103/PhysRevE.68.052601OAI: oai:DiVA.org:liu-47735DiVA: diva2:268631