Shinku
Online ISSN : 1880-9413
Print ISSN : 0559-8516
ISSN-L : 0559-8516
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Volume 48, Issue 11
Displaying 1-5 of 5 articles from this issue
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Special Issue: Biochip and Vacuum Technology
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Regular Paper
Article
  • On the Symmetry of Molecular Flows Through the Pipe of an Arbitrary Shape (I) Diffusive Reflection
    Yoshiro KUSUMOTO
    2005 Volume 48 Issue 11 Pages 592-596
    Published: 2005
    Released on J-STAGE: August 11, 2006
    DOIhttps://doi.org/10.3131/jvsj.48.592
    JOURNAL FREE ACCESS
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    Molecular gas flows through the pipe of an arbitrary shape is mathematically considered based on a diffusive reflection model. To avoid a perpetual motion, the magnitude of the molecular flow rate must remain invariant under the exchange of inlet and outlet pressures. For this flow symmetry, the cosine law reflection at the pipe wall was found to be sufficient and necessary, on the assumption that the molecular flux is conserved in a collision with the wall. It was also shown that a spontaneous flow occurs in a hemispherical apparatus, if the reflection obeys the n-th power of cosine law with n other than unity. This apparatus could work as a molecular pump with no moving parts.
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