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    Poiseuille channel flow by adding and doubling

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    Author
    Ganapol, Barry D.
    Affiliation
    Univ Arizona, Dept Aerosp & Mech Engn
    Issue Date
    2016
    
    Metadata
    Show full item record
    Publisher
    AMER INST PHYSICS
    Citation
    AIP Conference Proceedings 1786, 070009 (2016); doi: http://dx.doi.org/10.1063/1.4967585
    Journal
    30TH INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS (RGD 30)
    Rights
    Copyright © 2016, AIP Publishing LLC.
    Collection Information
    This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.
    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.
    Note
    Full Published Online: November 2016; 12 month embargo.
    ISSN
    0094-243X
    DOI
    10.1063/1.4967585
    Version
    Final published version
    Additional Links
    http://aip.scitation.org/doi/abs/10.1063/1.4967585
    ae974a485f413a2113503eed53cd6c53
    10.1063/1.4967585
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