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Elasto-capillary coalescence of multiple parallel sheets

Gat, A. D. and Gharib, M. (2013) Elasto-capillary coalescence of multiple parallel sheets. Journal of Fluid Mechanics, 723 . pp. 692-705. ISSN 0022-1120. doi:10.1017/jfm.2013.86.

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We analyse two-dimensional clamped parallel elastic sheets which are partially immersed in liquid as a model for elasto-capillary coalescence. In the existing literature this problem is studied via minimal energy analysis of capillary and elastic energies of the post-coalescence state, yielding the maximal stable post-coalescence bundle size. Utilizing modal stability analysis and asymptotic analysis, we studied the stability of the configuration before the coalescence occurred. Our analysis revealed previously unreported relations between viscous forces, body forces, and the instability yielding the coalescence, thus undermining a common assumption that coalescence will occur as long as it will not create a bundle larger than the maximal stable post-coalesced size. A mathematical description of the process creating the hierarchical coalescence structure was obtained and yielded that the mean number of sheets per coalesced region is limited to the subset 2^N where N is the set of natural numbers. Our theoretical results were illustrated by experiments and good agreement with the theoretical predictions was observed.

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Additional Information:© 2013 Cambridge University Press. Received 11 June 2012; revised 6 February 2013; accepted 7 February 2013; first published online 16 April 2013. The authors wish to acknowledge the work of Aria Vahdani on the experimental setup and also wish to acknowledge the support of Charyk Laboratory.
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Charyk LaboratoryUNSPECIFIED
Subject Keywords:instability, interfacial flows (free surface), low-Reynolds-number flows
Record Number:CaltechAUTHORS:20130523-102948511
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38657
Deposited By: Tony Diaz
Deposited On:25 Jun 2013 15:33
Last Modified:09 Nov 2021 23:39

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