RT Journal Article
T1 Diffusion induced chaos in a closed loop thermosyphon
A1 Rodríguez Bernal, Aníbal
A1 Van Vleck, Erik S.
AB 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.
PB Society for Industrial and Applied Mathematics
SN 0036-1399
YR 1998
FD 1998-08
LK https://hdl.handle.net/20.500.14352/57838
UL https://hdl.handle.net/20.500.14352/57838
LA eng
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