Mass flow rate measurement of thermal creep flow from transitional to slip flow regime

Hiroki Yamaguchi, Pierre Perrier, Minh Tuan Ho, J. Gilbert Méolans, Tomohide Niimi, Irina Graur

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Measurements of the thermal creep flow through a single rectangular microchannel connected to two tanks maintained initially at the same pressure, but at different temperatures, are carried out for five noble gas species, over a large range of pressure and for two temperature differences between the tanks. The time-dependent pressure variations in both cold and hot tanks are investigated, and the temperature-driven (thermal creep) mass flow rate between two tanks is calculated from these data for the rarefaction parameter ranging from the transitional to slip flow regime. The measured mass flow rate is compared with the numerical solution of the S-model kinetic equation, and they show good agreement. A novel approximate expression to calculate the temperature-driven mass flow rate in the transitional and slip flow regimes is proposed. This expression provides results in good agreement with the measured values of the mass flow rate. In the slip flow regime, the thermal slip coefficient is calculated by employing the previously reported methodology, and the influence of the nature of the gas on this coefficient is investigated. The measured values of the thermal slip coefficient agree well with the values available in the literature, indicating that this coefficient is independent of the shape of a channel.
LanguageEnglish
Pages690-707
Number of pages18
JournalJournal of Fluid Mechanics
Volume795
DOIs
Publication statusPublished - 1 May 2016

Fingerprint

slip flow
mass flow rate
Creep
Flow rate
coefficients
slip
rarefaction
Temperature
Inert gases
microchannels
Microchannels
kinetic equations
temperature
rare gases
temperature gradients
methodology
Kinetics
Hot Temperature
Gases
gases

Keywords

  • micro fluid dynamics
  • nano fluid dynamics
  • non continuum effects
  • rarefied gas glow

Cite this

Yamaguchi, Hiroki ; Perrier, Pierre ; Ho, Minh Tuan ; Méolans, J. Gilbert ; Niimi, Tomohide ; Graur, Irina. / Mass flow rate measurement of thermal creep flow from transitional to slip flow regime. In: Journal of Fluid Mechanics. 2016 ; Vol. 795. pp. 690-707.
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Mass flow rate measurement of thermal creep flow from transitional to slip flow regime. / Yamaguchi, Hiroki; Perrier, Pierre; Ho, Minh Tuan; Méolans, J. Gilbert; Niimi, Tomohide; Graur, Irina.

In: Journal of Fluid Mechanics, Vol. 795, 01.05.2016, p. 690-707.

Research output: Contribution to journalArticle

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T1 - Mass flow rate measurement of thermal creep flow from transitional to slip flow regime

AU - Yamaguchi, Hiroki

AU - Perrier, Pierre

AU - Ho, Minh Tuan

AU - Méolans, J. Gilbert

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AU - Graur, Irina

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