We semi-analytically capture the effects of evaporation and condensation at menisci on apparent thermal slip lengths for liquids suspended in the Cassie state on ridge-type structured surfaces using a conformal map and convolution. An isoflux boundary condition is prescribed at solid–liquid interfaces and a constant heat transfer coefficient or isothermal one at menisci. We assume that the gaps between ridges, where the vapor phase resides, are closed systems; therefore, the net rates of heat and mass transfer across menisci are zero. The reduction in apparent thermal slip length due to evaporation and condensation relative to the limiting case of an adiabatic meniscus as a function of solid fraction and interfacial heat transfer coefficient is quantified in a single plot. The semi-analytical solution method is verified by numerical simulation. Results suggest that interfacial evaporation and condensation need to be considered in the design of microchannels lined with structured surfaces for direct liquid cooling of electronics applications and a quantitative means to do so is elucidated. The result is a decrease in thermal resistance relative to the predictions of existing analyses which neglect them.
Skip Nav Destination
Article navigation
Research-Article
Effect of Evaporation and Condensation at Menisci on Apparent Thermal Slip Available to Purchase
Adam Cowley,
Adam Cowley
Department of Mechanical Engineering,
e-mail: [email protected]
Brigham Young University
,Provo, UT 84602
e-mail: [email protected]
Search for other works by this author on:
Ryan Enright,
Ryan Enright
Thermal Management Research Group,
Efficient Energy Transfer (ηet) Department,
Bell Labs Ireland,
Blanchardstown Business & Technology Park,
e-mail: [email protected]
Efficient Energy Transfer (ηet) Department,
Bell Labs Ireland,
Alcatel-Lucent Ireland Ltd.
,Blanchardstown Business & Technology Park,
Dublin 15
, Ireland
e-mail: [email protected]
Search for other works by this author on:
Scott MacLachlan
Scott MacLachlan
Department of Mathematics and Statistics,
e-mail: [email protected]
Memorial University of Newfoundland
,St Johns, NL A1C 5S7
, Canada
e-mail: [email protected]
Search for other works by this author on:
Marc Hodes
Lisa Steigerwalt Lam
Adam Cowley
Department of Mechanical Engineering,
e-mail: [email protected]
Brigham Young University
,Provo, UT 84602
e-mail: [email protected]
Ryan Enright
Thermal Management Research Group,
Efficient Energy Transfer (ηet) Department,
Bell Labs Ireland,
Blanchardstown Business & Technology Park,
e-mail: [email protected]
Efficient Energy Transfer (ηet) Department,
Bell Labs Ireland,
Alcatel-Lucent Ireland Ltd.
,Blanchardstown Business & Technology Park,
Dublin 15
, Ireland
e-mail: [email protected]
Scott MacLachlan
Department of Mathematics and Statistics,
e-mail: [email protected]
Memorial University of Newfoundland
,St Johns, NL A1C 5S7
, Canada
e-mail: [email protected]
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received July 30, 2014; final manuscript received February 5, 2015; published online March 24, 2015. Assoc. Editor: Giulio Lorenzini.
J. Heat Transfer. Jul 2015, 137(7): 071502 (7 pages)
Published Online: July 1, 2015
Article history
Received:
July 30, 2014
Revision Received:
February 5, 2015
Online:
March 24, 2015
Citation
Hodes, M., Steigerwalt Lam, L., Cowley, A., Enright, R., and MacLachlan, S. (July 1, 2015). "Effect of Evaporation and Condensation at Menisci on Apparent Thermal Slip." ASME. J. Heat Transfer. July 2015; 137(7): 071502. https://doi.org/10.1115/1.4029818
Download citation file:
Get Email Alerts
Cited By
Stability of Natural Convection in a Vertical Porous Layer of Viscoelastic Navier–Stokes–Voigt Fluid
J. Heat Mass Transfer (October 2025)
Dynamic Thermal Management of a MOSFET Power Module Using a Novel Three-Component Phase Change Material
J. Heat Mass Transfer (October 2025)
Scholarly Trends and Rankings in Mechanical Engineering and Heat Transfer: A Global Analysis of Impact and Influence
J. Heat Mass Transfer (October 2025)
A Numerical Method for a Heat Conduction Problem With a Free Boundary
J. Heat Mass Transfer (October 2025)
Related Articles
Special Issue From International Workshop on New Understanding in Nanoscale/Microscale Phase Change Phenomena Held in Trondheim, Norway, June 12–16, 2016
J. Heat Transfer (November,2017)
Effect of Liquid Properties on Phase-Change Heat Transfer in Porous Wick Structures
J. Heat Transfer (March,2016)
Numerical Simulation of Evaporating Two-Phase Flow in a High-Aspect-Ratio Microchannel with Bends
J. Heat Transfer (August,2017)
Numerical Analysis of Heat Transfer Characteristics of a Falling Film Type Plate-Fin Condenser/Reboiler
J. Heat Transfer (August,2016)
Related Proceedings Papers
Related Chapters
Evaluation of Moisture Accumulation in Composite Roof Decks in High Humidity Environments such as Natatoriums in Cold Climates Using Hygrothermal Modeling
Roofing Research and Standards Development: 10th Volume
Liquid Cooled Systems
Thermal Management of Telecommunications Equipment
Thermal Design Guide of Liquid Cooled Systems
Thermal Design of Liquid Cooled Microelectronic Equipment