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    Diffusion Induced Chaos in a Closed Loop Thermosyphon

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    VanVleck_SIAMAM_58(4)1072.pdf (667.9Kb)
    Issue Date
    1998-08-05
    Author
    Rodriguez-Bernal, Anibal
    Van Vleck, Erik S.
    Publisher
    Society for Industrial and Applied Mathematics
    Type
    Article
    Article Version
    Scholarly/refereed, publisher version
    Metadata
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    Abstract
    The dynamics of a closed loop thermosyphon are considered. The model assumes a prescribed heat flux along the loop wall and the contribution of axial diffusion. The well-posedness of the model which consists of a coupled ODE and PDE is shown for both the case with diffusion and without diffusion. Boundedness of solutions, the existence of an attractor, and an inertial manifold is proven, and an exact reduction to a low-dimensional model is obtained for the diffusion case. The reduced systems may have far fewer degrees of freedom than the reduction to the inertial manifold. For the three mode models, equivalence with the classical Lorenz equations is shown. Numerical results are presented for five mode models.
    Description
    This is the published version, also available here: http://dx.doi.org/10.1137/S0036139996304184.
    URI
    http://hdl.handle.net/1808/17285
    DOI
    https://doi.org/10.1137/S0036139996304184
    Collections
    • Mathematics Scholarly Works [283]
    Citation
    Rodriguez-Bernal, Anibal & Van Vleck, Erik. "Diffusion Induced Chaos in a Closed Loop Thermosyphon." (1998) SIAM J. Appl. Math., 58(4), 1072–1093. (22 pages). http://dx.doi.org/10.1137/S0036139996304184.

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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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