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Evaporation and Viscous Flow in Triangular Grooves in Micro Heat Pipes

[+] Author Affiliations
Mulugeta Markos, Vladimir S. Ajaev

Southern Methodist University

G. M. Homsy

University of California at Santa Barbara

Paper No. IMECE2005-80927, pp. 733-737; 5 pages
doi:10.1115/IMECE2005-80927
From:
  • ASME 2005 International Mechanical Engineering Congress and Exposition
  • Heat Transfer, Part A
  • Orlando, Florida, USA, November 5 – 11, 2005
  • Conference Sponsors: Heat Transfer Division
  • ISBN: 0-7918-4221-5 | eISBN: 0-7918-3769-6
  • Copyright © 2005 by ASME

abstract

We develop a lubrication type model of a liquid flow in a wedge in the limit of small capillary numbers and negligible gravity. The model incorporates the effects of capillary pressure gradients and evaporation. Steady vapor-liquid interface shapes are found for a range of parameters. In the limit of weak evaporation the flow is the same in all cross-sections and can be controlled by changing the wedge angle. We find the wedge angle that results in the maximum value of the flow rate for a given contact angle. For high evaporation rates, both the flow rate and the amount of liquid in each cross-section along the wedge decrease until the point of dry-out is reached. The location of the dry-out point is studied as a function of evaporation. Practical suggestions about optimization of micro heat pipes are given.

Copyright © 2005 by ASME

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