Evaluating constitutive scaling models for application to compressible microflows

Lynne O'Hare, Thomas Scanlon, David Emerson, Jason Reese

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

We demonstrate here, for the first time, the constitutive scaling approach applied to simulate a fully compressible, non-isothermal micro gas flow within a mainstream computational physics framework. First, the physics underlying these new constitutive-relation scaling models for rarefied gas flows at the microscale, in particular, the Knudsen layer, is discussed. Results for Couette-type flows in micro-channels, including heat transfer effects due to rarefaction, are then reported and we show comparisons with both traditional Navier-Stokes-Fourier solutions and independent numerical studies. We discuss the limitations of the constitutive scaling process, such as the breakdown of the model as the Knudsen number increases and the influence of the wall interaction model on the numerical results. Advantages of the constitutive scaling technique are described, with particular reference to the practicality of using it for microscale engineering design.
LanguageEnglish
Pages1281-1292
Number of pages12
JournalInternational Journal of Heat and Mass Transfer
Volume51
Issue number5-6
DOIs
Publication statusPublished - Mar 2008

Fingerprint

scaling
Flow of gases
Physics
microbalances
gas flow
rarefaction
physics
Knudsen flow
rarefied gases
Heat transfer
breakdown
heat transfer
engineering
interactions

Keywords

  • gas mems
  • knudsen layer
  • compressible flow
  • heat transfer

Cite this

O'Hare, Lynne ; Scanlon, Thomas ; Emerson, David ; Reese, Jason. / Evaluating constitutive scaling models for application to compressible microflows. In: International Journal of Heat and Mass Transfer. 2008 ; Vol. 51, No. 5-6. pp. 1281-1292.
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Evaluating constitutive scaling models for application to compressible microflows. / O'Hare, Lynne; Scanlon, Thomas; Emerson, David; Reese, Jason.

In: International Journal of Heat and Mass Transfer, Vol. 51, No. 5-6, 03.2008, p. 1281-1292.

Research output: Contribution to journalArticle

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AU - Emerson, David

AU - Reese, Jason

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AB - We demonstrate here, for the first time, the constitutive scaling approach applied to simulate a fully compressible, non-isothermal micro gas flow within a mainstream computational physics framework. First, the physics underlying these new constitutive-relation scaling models for rarefied gas flows at the microscale, in particular, the Knudsen layer, is discussed. Results for Couette-type flows in micro-channels, including heat transfer effects due to rarefaction, are then reported and we show comparisons with both traditional Navier-Stokes-Fourier solutions and independent numerical studies. We discuss the limitations of the constitutive scaling process, such as the breakdown of the model as the Knudsen number increases and the influence of the wall interaction model on the numerical results. Advantages of the constitutive scaling technique are described, with particular reference to the practicality of using it for microscale engineering design.

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