Open Access Research Article

Attractions and repulsions of parallel plates partially immersed in a liquid bath: III

Rajat Bhatnagar1 and Robert Finn2*

Author Affiliations

1 Department of Biochemistry and Biophysics, California Institute for Quantitative Biosciences, University of California, San Francisco, CA, 94143, USA

2 Mathematics Department, Stanford University, Stanford, CA, 94305-2125, USA

For all author emails, please log on.

Boundary Value Problems 2013, 2013:277  doi:10.1186/1687-2770-2013-277

Published: 13 December 2013


We continue earlier studies on the indicated configuration, improving previous estimates, providing explicit expressions for the relevant forces and a formal algorithmic procedure for their calculation, and sharpening and extending the predictions for qualitative distinctions among varying types of behavior that can occur. We include graphical representations for some of the more significant relations, as an aid to interpretation and for eventual design of experiments to test the physical relevance of the new material.