Poiseuille channel flow by adding and doubling

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The flow of a rarefied gas between two plates of a micro channel, commonly called Poiseuille flow, has been extensively studied in the BGK approximation. In particular, the Analytical Discrete Ordinates (ADO) method determines the velocity profile and flow rate efficiently and accurately. Here, an equally efficient and precise solution is presented using the method of doubling, which however is arguably a numerically simpler and a more natural approach avoiding eigenvalues and eigenvectors. Highly accurate benchmark results for Poiseuille flow are reported for use as a benchmark.

Original languageEnglish (US)
Title of host publication30th International Symposium on Rarefied Gas Dynamics, RGD 2016
PublisherAmerican Institute of Physics Inc.
Volume1786
ISBN (Electronic)9780735414488
DOIs
StatePublished - Nov 15 2016
Event30th International Symposium on Rarefied Gas Dynamics, RGD 2016 - Victoria, Canada
Duration: Jul 10 2016Jul 15 2016

Other

Other30th International Symposium on Rarefied Gas Dynamics, RGD 2016
CountryCanada
CityVictoria
Period7/10/167/15/16

Fingerprint

channel flow
laminar flow
rarefied gases
eigenvectors
eigenvalues
flow velocity
velocity distribution
approximation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Ganapol, B. D. (2016). Poiseuille channel flow by adding and doubling. In 30th International Symposium on Rarefied Gas Dynamics, RGD 2016 (Vol. 1786). [070009] American Institute of Physics Inc.. https://doi.org/10.1063/1.4967585

Poiseuille channel flow by adding and doubling. / Ganapol, Barry D.

30th International Symposium on Rarefied Gas Dynamics, RGD 2016. Vol. 1786 American Institute of Physics Inc., 2016. 070009.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Ganapol, BD 2016, Poiseuille channel flow by adding and doubling. in 30th International Symposium on Rarefied Gas Dynamics, RGD 2016. vol. 1786, 070009, American Institute of Physics Inc., 30th International Symposium on Rarefied Gas Dynamics, RGD 2016, Victoria, Canada, 7/10/16. https://doi.org/10.1063/1.4967585
Ganapol BD. Poiseuille channel flow by adding and doubling. In 30th International Symposium on Rarefied Gas Dynamics, RGD 2016. Vol. 1786. American Institute of Physics Inc. 2016. 070009 https://doi.org/10.1063/1.4967585
Ganapol, Barry D. / Poiseuille channel flow by adding and doubling. 30th International Symposium on Rarefied Gas Dynamics, RGD 2016. Vol. 1786 American Institute of Physics Inc., 2016.
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