The flow of a fluid that is in a state of saturated vapor at the upstream side of a channel is considered. The flow is described by applying the balances of mass, momentum and energy. One-dimensional flow and heat conduction is assumed. Account is taken of the Joule-Thomson effect and, for contact angles smaller than 90°, of the capillary pressure given by the Young-Laplace equation and of the vapor pressure reduction at a curved meniscus due to Kelvin’s equation. For a diameter of the channel below a certain threshold the vapor condenses fully, liquid flows through a part of the channel, the fluid evaporates at a location within the channel and vapor flows through the remaining part of the channel. The threshold diameter below of which the fluid condenses fully is a function of the fluid properties and of the effective thermal conductivity of the fluid-filled channel. The threshold diameter lies in the range from a few tens of nanometers for bad heat conductors to a few hundreds of nanometers for very good heat conductors such as multi-walled carbon nanotubes. Solutions are given for the flow problem with a contact angle of 90° and with contact angles smaller than 90°. The mass flux is considerably larger for contact angles smaller than 90°. However, as long as the contact angle is smaller than approx. 70°, the mass flux is nearly independent of the contact angle.
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ASME 2008 6th International Conference on Nanochannels, Microchannels, and Minichannels
June 23–25, 2008
Darmstadt, Germany
Conference Sponsors:
- Nanotechnology Institute
ISBN:
0-7918-4834-5
PROCEEDINGS PAPER
The Effect of the Contact Angle on a Flow With Condensation and Evaporation Through a Microchannel
Thomas Loimer
Thomas Loimer
Technische Universita¨t Wien, Wien, Austria
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Thomas Loimer
Technische Universita¨t Wien, Wien, Austria
Paper No:
ICNMM2008-62167, pp. 321-326; 6 pages
Published Online:
June 11, 2009
Citation
Loimer, T. "The Effect of the Contact Angle on a Flow With Condensation and Evaporation Through a Microchannel." Proceedings of the ASME 2008 6th International Conference on Nanochannels, Microchannels, and Minichannels. ASME 2008 6th International Conference on Nanochannels, Microchannels, and Minichannels. Darmstadt, Germany. June 23–25, 2008. pp. 321-326. ASME. https://doi.org/10.1115/ICNMM2008-62167
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