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Wicking of a liquid bridge connected to a moving porous surface

Gat, A. D. and Navaz, H. K. and Gharib, M. (2012) Wicking of a liquid bridge connected to a moving porous surface. Journal of Fluid Mechanics, 703 . pp. 315-325. ISSN 0022-1120. https://resolver.caltech.edu/CaltechAUTHORS:20120807-095214831

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Abstract

We study the coupled problem of a liquid bridge connected to a porous surface and an impermeable surface, where the gap between the surfaces is an externally controlled function of time. The relative motion between the surfaces influences the pressure distribution and geometry of the liquid bridge, thus affecting the shape of liquid penetration into the porous material. Utilizing the lubrication approximation and Darcy’s phenomenological law, we obtain an implicit integral relation between the relative motion between the surfaces and the shape of liquid penetration. A method to control the shape of liquid penetration is suggested and illustrated for the case of conical penetration shapes with an arbitrary cone opening angle. We obtain explicit analytic expressions for the case of constant relative speed of the surfaces as well as for the relative motion between the surfaces required to create conical penetration shapes. Our theoretical results are compared with experiments and reasonable agreement between the analytical and experimental data is observed.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1017/jfm.2012.218DOIUNSPECIFIED
http://journals.cambridge.org/abstract_S0022112012002182PublisherUNSPECIFIED
Additional Information:© 2012 Cambridge University Press. Received 10 January 2012; revised 19 March 2012; accepted 2 May 2012; first published online 12 June 2012. We thank Dr S. Paikoff of the Defense Threat Reduction Agency (DTRA) which supported this project.
Group:GALCIT
Funders:
Funding AgencyGrant Number
Defense Threat Reduction Agency (DTRA)UNSPECIFIED
Subject Keywords:capillary flows; liquid bridges; porous media
Record Number:CaltechAUTHORS:20120807-095214831
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20120807-095214831
Official Citation:A. D. Gat, H. K. Navaz and M. Gharib (2012). Wicking of a liquid bridge connected to a moving porous surface. Journal of Fluid Mechanics, 703 , pp 315-325 doi:10.1017/jfm.2012.218
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:32971
Collection:CaltechAUTHORS
Deposited By: Aucoeur Ngo
Deposited On:07 Aug 2012 17:00
Last Modified:03 Oct 2019 04:05

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