Equilibrium of an elastically confined liquid drop

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[Under construction -- Nick Schade]

Kwon Drop Diagram.
Diagrams of the liquid drop between the substrate and the elastic surface, with photographs from experiment. In case (a), the glass sheet is relatively stiff due to its large height (1.85 mm) above the parafilm substrate. In case (b), the sheet acts more elastically because its left end is only 0.28 mm above the substrate, and as a result its right end is in contact with the substrate.

The authors examine the behavior of a liquid drop confined between a rigid substrate from below and an elastic plate from above. The drop will spread and thin between the plates, while also pulling the flexible sheet down. The authors work out theoretical predictions for the shape of the elastic sheet subject to physical and geometric boundary conditions. A few interesting cases are noted, which correspond to different boundary conditions. Experimental data is provided which corroborates the theoretical predictions, and the authors discuss the application of the analysis to subjects as varied as Chinese calligraphy and the stiction of microcantilevers.

General Information

Keywords: surface force, surface tension, stiction

Authors: Hyuk-Min Kwon, Ho-Young Kim, Jerome Puell, and L. Mahadevan.

Date: May 7, 2008.

School of Mechanical and Aerospace Engineering, Seoul National University, Seoul 151-744, Republic of Korea

School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA

Journal of Applied Physics 103, 093519 (2008). [1]

Summary

Connection to soft matter