Numerical analysis of gas–surface scattering effect on thermal transpiration in the free molecular regime

Sazhin, Oleg; Kulev, A. N.; Borisov, S. F.; Gimelshein, S. F.

doi:10.1016/j.vacuum.2007.03.001

Cited by 26 publications

(15 citation statements)

References 15 publications

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“…An experimental measurement of γ [43] in ultrahigh vacuum was conducted and it was found that γ was about 0.43 for helium. Based on this measurement, some researchers [38,39] concluded that the CL model was more accurate than the Maxwell model. In this section, a detailed study of thermal transpiration in the free-molecule limit is presented.…”

Section: Thermal Transpirationmentioning

confidence: 92%

“…The CL model, on the other hand, produced a γ that deviated significantly from 0.5 and varied with energy accommodation coefficients [38,39]. In addition, macroscopic flow was formed [42].…”

Section: Thermal Transpirationmentioning

confidence: 97%

“…Several previous studies [38][39][40][41][42] have investigated the influence of the empirical gas-wall interaction models on gas flow structure and the thermal transpiration coefficient γ defined as follows:…”

Section: Thermal Transpirationmentioning

confidence: 99%

“…In the simplified system, the thermal transpiration coefficient can be computed by a least-squares fitting of the gas pressure and temperature in the channel based on Eq. (8) [39],…”

Section: Thermal Transpirationmentioning

confidence: 99%

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Performance evaluation of Maxwell and Cercignani-Lampis gas-wall interaction models in the modeling of thermally driven rarefied gas transport

Liang

2013

Phys. Rev. E

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CitationPerformance evaluation of Maxwell and CercignaniLampis gas-wall interaction models in the modeling of thermally driven rarefied gas transport 2013, 88 (1) Physical Review E A systematic study on the performance of two empirical gas-wall interaction models, the Maxwell model and the Cercignani-Lampis (CL) model, in the entire Knudsen range is conducted. The models are evaluated by examining the accuracy of key macroscopic quantities such as temperature, density, and pressure, in three benchmark thermal problems, namely the Fourier thermal problem, the Knudsen force problem, and the thermal transpiration problem. The reference solutions are obtained from a validated hybrid DSMC-MD algorithm developed in-house. It has been found that while both models predict temperature and density reasonably well in the Fourier thermal problem, the pressure profile obtained from Maxwell model exhibits a trend that opposes that from the reference solution. As a consequence, the Maxwell model is unable to predict the orientation change of the Knudsen force acting on a cold cylinder embedded in a hot cylindrical enclosure at a certain Knudsen number. In the simulation of the thermal transpiration coefficient, although all three models overestimate the coefficient, the coefficient obtained from CL model is the closest to the reference solution. The Maxwell model performs the worst. The cause of the overestimated coefficient is investigated and its link to the overly constrained correlation between the tangential momentum accommodation coefficient and the tangential energy accommodation coefficient inherent in the models is pointed out. Directions for further improvement of models are suggested.

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Section: Thermal Transpirationmentioning

confidence: 92%

Section: Thermal Transpirationmentioning

confidence: 97%

Section: Thermal Transpirationmentioning

confidence: 99%

“…In the simplified system, the thermal transpiration coefficient can be computed by a least-squares fitting of the gas pressure and temperature in the channel based on Eq. (8) [39],…”

Section: Thermal Transpirationmentioning

confidence: 99%

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Performance evaluation of Maxwell and Cercignani-Lampis gas-wall interaction models in the modeling of thermally driven rarefied gas transport

Liang

2013

Phys. Rev. E

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“…Monte Carlo simulations are efficient for the free molecular flow regime, preferred for operation of a single stage Knudsen pump. A recent study comparing scattering kernels, the analytical probability distributions of the behavior of molecules after collision with a surface, suggest that a Maxwell kernel does not give good results for moderately long channels [16]. The Maxwell kernel assumes that a fraction of the molecules that collide with a surface diffuse radially, while the other molecules are reflected specularly and is used to determine the power to which the temperature ratio is taken in equation (1).…”

mentioning

confidence: 99%

A MEMS Knudsen pump for high gas flow applications.

Copic¹

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Numerical simulation of novel gas separation effect in microchannel with a series of oscillating barriers

Kosyanchuk

Yakunchikov

Bryukhanov

et al. 2017

Microfluid Nanofluid

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Numerical analysis of gas–surface scattering effect on thermal transpiration in the free molecular regime

Cited by 26 publications

References 15 publications

Performance evaluation of Maxwell and Cercignani-Lampis gas-wall interaction models in the modeling of thermally driven rarefied gas transport

Performance evaluation of Maxwell and Cercignani-Lampis gas-wall interaction models in the modeling of thermally driven rarefied gas transport

A MEMS Knudsen pump for high gas flow applications.

Numerical simulation of novel gas separation effect in microchannel with a series of oscillating barriers

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