Simulation of thermal transpiration flow using a high-order moment method

Qiang Sheng, Gui-Hua Tang, Xiao-Jun Gu, David R. Emerson, Yong-Hao Zhang

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Nonequilibrium thermal transpiration flow is numerically analyzed by an extended thermodynamic approach, a high-order moment method. The captured velocity profiles of temperature-driven flow in a parallel microchannel and in a micro-chamber are compared with available kinetic data or direct simulation Monte Carlo (DSMC) results. The advantages of the high-order moment method are shown as a combination of more accuracy than the Navier-Stokes-Fourier (NSF) equations and less computation cost than the DSMC method. In addition, the high-order moment method is also employed to simulate the thermal transpiration flow in complex geometries in two types of Knudsen pumps. One is based on micro-mechanized channels, where the effect of different wall temperature distributions on thermal transpiration flow is studied. The other relies on porous structures, where the variation of flow rate with a changing porosity or pore surface area ratio is investigated. These simulations can help to optimize the design of a real Knudsen pump.

LanguageEnglish
Article number1450061
JournalInternational Journal of Modern Physics C
Volume25
Issue number11
DOIs
Publication statusPublished - 30 Nov 2014

Fingerprint

transpiration
Higher Order Moments
Transpiration
Moment Method
High-order Methods
Method of moments
moments
Direct Simulation Monte Carlo
Pumps
Pump
Simulation
simulation
pumps
Microchannels
porosity
Microchannel
wall temperature
data simulation
Complex Geometry
Temperature distribution

Keywords

  • Knudsen pump
  • moment method
  • nonequilibrium gas
  • thermal transpiration flow

Cite this

Sheng, Qiang ; Tang, Gui-Hua ; Gu, Xiao-Jun ; Emerson, David R. ; Zhang, Yong-Hao. / Simulation of thermal transpiration flow using a high-order moment method. In: International Journal of Modern Physics C. 2014 ; Vol. 25, No. 11.
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Simulation of thermal transpiration flow using a high-order moment method. / Sheng, Qiang; Tang, Gui-Hua; Gu, Xiao-Jun; Emerson, David R.; Zhang, Yong-Hao.

In: International Journal of Modern Physics C, Vol. 25, No. 11, 1450061, 30.11.2014.

Research output: Contribution to journalArticle

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AU - Tang, Gui-Hua

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AU - Emerson, David R.

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N2 - Nonequilibrium thermal transpiration flow is numerically analyzed by an extended thermodynamic approach, a high-order moment method. The captured velocity profiles of temperature-driven flow in a parallel microchannel and in a micro-chamber are compared with available kinetic data or direct simulation Monte Carlo (DSMC) results. The advantages of the high-order moment method are shown as a combination of more accuracy than the Navier-Stokes-Fourier (NSF) equations and less computation cost than the DSMC method. In addition, the high-order moment method is also employed to simulate the thermal transpiration flow in complex geometries in two types of Knudsen pumps. One is based on micro-mechanized channels, where the effect of different wall temperature distributions on thermal transpiration flow is studied. The other relies on porous structures, where the variation of flow rate with a changing porosity or pore surface area ratio is investigated. These simulations can help to optimize the design of a real Knudsen pump.

AB - Nonequilibrium thermal transpiration flow is numerically analyzed by an extended thermodynamic approach, a high-order moment method. The captured velocity profiles of temperature-driven flow in a parallel microchannel and in a micro-chamber are compared with available kinetic data or direct simulation Monte Carlo (DSMC) results. The advantages of the high-order moment method are shown as a combination of more accuracy than the Navier-Stokes-Fourier (NSF) equations and less computation cost than the DSMC method. In addition, the high-order moment method is also employed to simulate the thermal transpiration flow in complex geometries in two types of Knudsen pumps. One is based on micro-mechanized channels, where the effect of different wall temperature distributions on thermal transpiration flow is studied. The other relies on porous structures, where the variation of flow rate with a changing porosity or pore surface area ratio is investigated. These simulations can help to optimize the design of a real Knudsen pump.

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