The effect of gaseous slip on microscale heat transfer: an extended Graetz problem

R.S. Myong, Duncan A. Lockerby, J.M. Reese

Research output: Contribution to journalArticlepeer-review

55 Citations (Scopus)


On the basis of Langmuir's theory of adsorption of gases on solids, the effect of temperature jump on microscale heat transfer is investigated. A mathematical model, extended from the classical Graetz problem, is developed to analyze convective heat transfer in a microtube in various slip-flow regimes. The surface slip corrections are made by employing the Langmuir model, as well as the conventional Maxwell model. The effects of axial heat conduction are also investigated by extending the finite integral transform technique to the slip-flow case. We show that the Langmuir model always predicts a reduction in heat transfer with increasing rarefaction, as does the Maxwell model, except when the energy accommodation coefficient is relatively much smaller than that for momentum accommodation. This implies that, for most physical applications, the Reynolds analogy between heat transfer and momentum transfer is preserved in slip-flow regimes with low Mach numbers.
Original languageEnglish
Pages (from-to)2502-2513
Number of pages11
JournalInternational Journal of Heat and Mass Transfer
Issue number15-16
Publication statusPublished - Jul 2006


  • extended Graetz problem
  • temperature jump
  • Langmuir adsorption
  • Reynolds analogy
  • microfluidics
  • rarefied gas dynamics
  • slip flow


Dive into the research topics of 'The effect of gaseous slip on microscale heat transfer: an extended Graetz problem'. Together they form a unique fingerprint.

Cite this