Diffusion Induced Chaos in a Closed Loop Thermosyphon

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Issue Date
1998-08-05Author
Rodriguez-Bernal, Anibal
Van Vleck, Erik S.
Publisher
Society for Industrial and Applied Mathematics
Type
Article
Article Version
Scholarly/refereed, publisher version
Metadata
Show full item recordAbstract
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.
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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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