Numerical investigation of the heat and mass transfer analogy in rarefied gas flows

Bond, Daryl M., Goldsworthy, Mark J. and Wheatley, Vincent (2015) Numerical investigation of the heat and mass transfer analogy in rarefied gas flows. International Journal of Heat and Mass Transfer, 85 971-986. doi:10.1016/j.ijheatmasstransfer.2015.02.051

Author Bond, Daryl M.
Goldsworthy, Mark J.
Wheatley, Vincent
Title Numerical investigation of the heat and mass transfer analogy in rarefied gas flows
Journal name International Journal of Heat and Mass Transfer   Check publisher's open access policy
ISSN 0017-9310
Publication date 2015-06
Year available 2015
Sub-type Article (original research)
DOI 10.1016/j.ijheatmasstransfer.2015.02.051
Open Access Status
Volume 85
Start page 971
End page 986
Total pages 16
Place of publication Kidlington, Oxford United Kingdom
Publisher Pergamon Press
Collection year 2016
Language eng
Abstract Transport of heat and mass to surfaces in fluid flows lies at the heart of a vast array of engineering problems. The Colburn analogy that relates the transport of heat and mass to the surface is often applied to approximate mass transport using correlations developed for heat transport. Here we use a numerical method that solves the Shakhov model Boltzmann equation of fluid mechanics coupled to a simple monolayer adsorption model to show that this analogy does not apply for selected rarefied flows. We consider steady flow of gas through a micro-channel and the flow in a lid-driven cavity. We define a breakdown parameter indicating the departure of the relative rates of heat and mass transport from that predicted using the analogy, and give simple analytic expressions for this parameter in the free-molecular and continuum limits. Results show that the analogy breaks down even for Knudsen numbers corresponding to slip and transition region flows, and that the magnitude of this departure is such that mass transfer is many times slower than predicted using the analogy. These results have important application to the design of micro-scale devices involving mass transport to surfaces.
Keyword Rarefied flows
Mass transfer
Colburn analogy
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mechanical & Mining Engineering Publications
Official 2016 Collection
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Citation counts: TR Web of Science Citation Count  Cited 2 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 2 times in Scopus Article | Citations
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Created: Fri, 06 Mar 2015, 14:11:56 EST by Dr Vincent Wheatley on behalf of School of Mechanical and Mining Engineering