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

Handle URI:
http://hdl.handle.net/10754/552875
Title:
Performance evaluation of Maxwell and Cercignani-Lampis gas-wall interaction models in the modeling of thermally driven rarefied gas transport
Authors:
Liang, Tengfei; Li, Qi; Ye, Wenjing
Abstract:
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.
Citation:
Performance evaluation of Maxwell and Cercignani-Lampis gas-wall interaction models in the modeling of thermally driven rarefied gas transport 2013, 88 (1) Physical Review E
Journal:
Physical Review E
Issue Date:
16-Jul-2013
DOI:
10.1103/PhysRevE.88.013009
Type:
Article
ISSN:
1539-3755; 1550-2376
Additional Links:
http://link.aps.org/doi/10.1103/PhysRevE.88.013009
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorLiang, Tengfeien
dc.contributor.authorLi, Qien
dc.contributor.authorYe, Wenjingen
dc.date.accessioned2015-05-14T12:54:57Zen
dc.date.available2015-05-14T12:54:57Zen
dc.date.issued2013-07-16en
dc.identifier.citationPerformance evaluation of Maxwell and Cercignani-Lampis gas-wall interaction models in the modeling of thermally driven rarefied gas transport 2013, 88 (1) Physical Review Een
dc.identifier.issn1539-3755en
dc.identifier.issn1550-2376en
dc.identifier.doi10.1103/PhysRevE.88.013009en
dc.identifier.urihttp://hdl.handle.net/10754/552875en
dc.description.abstractA 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.en
dc.relation.urlhttp://link.aps.org/doi/10.1103/PhysRevE.88.013009en
dc.rightsArchived with thanks to Physical Review Een
dc.titlePerformance evaluation of Maxwell and Cercignani-Lampis gas-wall interaction models in the modeling of thermally driven rarefied gas transporten
dc.typeArticleen
dc.identifier.journalPhysical Review Een
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionDepartment of Mechanical Engineering, The Hong Kong University of Science and Technology, Clearwater Bay, Kowloon, Hong Kongen
dc.contributor.institutionKAUST-HKUST Micro/Nanofluidic Joint Laboratory, The Hong Kong University of Science and Technology, Clearwater Bay, Kowloon, Hong Kongen
kaust.grant.fundedcenterKAUST-HKUST Micro/Nanofluidic Joint Laboratoryen
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