Modeling of evaporation of a pure liquid within a capillary tube of circular cross section is a classic problem which has been the subject of many studies. Here we consider the case of tubes of polygonal cross section. This case leads to much greater evaporation rates owing to the liquid flow along the tube edges induced by the capillary forces. We concentrate on slow evaporation situations for which evaporation is controlled by mass transfer. Various evaporation regimes are distinguished depending on the competition between capillary, gravity and viscous forces. When the capillary forces are dominant, it is shown that the position of the bulk meniscus scales linearly with time (and not as the square root of time as in a capillary tube of circular cross section). The effect of viscous or gravity forces is to thin out the corner liquid fingers as the bulk meniscus recedes into the tube. This contributes to reduce the evaporation rate compared to the capillarity dominated regime. Then the case of faster evaporations inducing significant temperature variations is briefly discussed.
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ASME 2005 Summer Heat Transfer Conference collocated with the ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems
July 17–22, 2005
San Francisco, California, USA
Conference Sponsors:
- Heat Transfer Division and Electronic and Photonic Packaging Division
ISBN:
0-7918-4732-2
PROCEEDINGS PAPER
Evaporation in Capillary Tubes of Square Cross Section Available to Purchase
Typhaine Coquard,
Typhaine Coquard
U.M.R. C.N.R.S., Toulouse, France
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Bruno Camassel,
Bruno Camassel
U.M.R. C.N.R.S., Toulouse, France
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Marc Prat
Marc Prat
U.M.R. C.N.R.S., Toulouse, France
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Typhaine Coquard
U.M.R. C.N.R.S., Toulouse, France
Bruno Camassel
U.M.R. C.N.R.S., Toulouse, France
Marc Prat
U.M.R. C.N.R.S., Toulouse, France
Paper No:
HT2005-72452, pp. 127-134; 8 pages
Published Online:
March 9, 2009
Citation
Coquard, T, Camassel, B, & Prat, M. "Evaporation in Capillary Tubes of Square Cross Section." Proceedings of the ASME 2005 Summer Heat Transfer Conference collocated with the ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems. Heat Transfer: Volume 2. San Francisco, California, USA. July 17–22, 2005. pp. 127-134. ASME. https://doi.org/10.1115/HT2005-72452
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