liu.seSearch for publications in DiVA
Change search
ReferencesLink to record
Permanent link

Direct link
Using stable and unstable profiles to deduce deformation limits of the air-water interface
Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology, Digital Media.
Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
2004 (English)In: Langmuir, ISSN 0743-7463, E-ISSN 1520-5827, Vol. 20, no 8, 3208-3220 p.Article in journal (Refereed) Published
Abstract [en]

The shape of the air-water interface deformed by a van der Waals stress induced by a paraboloid shaped solid body is addressed and discussed. Emphasis is placed on the existence limit of solutions to the governing Euler-Lagrange equation for the equilibrium shape. Two legitimate solutions, one stable and one unstable, are found to converge at the existence limit, giving a numerical criterion for establishing critical physical conditions guaranteeing absolute stability. Insight is aided by a study of an analogous mechanical problem that exhibits very similar properties. Among numerical data produced are critical lower height limits of the paraboloid to the air-water surface and associated peak deformation heights and their dependencies on physical parameters. Of further interest to experimentalists in the surface force field are the variations in peak deformation height and total surface force on the solid as a function of position of the paraboloid, paraboloid geometry, and strength of the van der Waals stress.

Place, publisher, year, edition, pages
2004. Vol. 20, no 8, 3208-3220 p.
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-46246DOI: 10.1021/la035651yOAI: diva2:267142
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2010-12-02

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Cortat, FrédéricMiklavcic, Stan
By organisation
The Institute of TechnologyDigital MediaDepartment of Science and Technology
In the same journal
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 83 hits
ReferencesLink to record
Permanent link

Direct link