Peeling, healing and bursting in a lubricated elastic sheet
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04-P-01.pdf
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916.64 KB
Format
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Checksum (MD5)
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Author(s)
Hosoi, A.E.
Mahadevan, L.
Date Issued
2004
Publisher
PRL
Citation
Hosoi, A. E. and L. Mahadevan, “Dynamics of a fluid-lubricated elastic sheet.” PRL 93(13), DOI:137802, 2004.
Series/Report no.
04-P-01;
Abstract
We consider the dynamics of an elastic sheet lubricated by the flow of a thin layer of fluid that separates it from a rigid wall. By considering long wavelength deformations of the sheet, we derive an evolution equation for its motion, accounting for the effects of elastic bending, viscous lubrication and body forces. We then analyze various steady and unsteady problems for the sheet such as peeling, healing, levitating and bursting using a combination of numerical simulation and dimensional analysis. On the macro-scale, we corroborate our theory with a simple experiment, and on the micro-scale, we analyze an oscillatory valve that can transform a continuous stream of fluid into a series of discrete pulses.
Subjects
elastic boundary
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