Abstract
By using the theory of the generalized perturbed Hamiltonian systems, it is shown that there exist periodic stream lines in the three-dimensional square cell pattern of Rayleigh-Benard convection. The result means that our method enables this threedimensional flow pattern to be described in an unambiguous manner, and some experimental results of other authors can be explained.
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Paper from LI Ji-bin, Member of Editorial Committee, AMM
Foundation item: the National Natural Science Foundation of Chine (19731003); the Natural Science Foundation of Yunnan Province
Biography: LI Ji-bin (1943-), Professor
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Ji-bin, L., Wan-suo, D. Periodic stream lines in the three-dimensional square cell pattern. Appl Math Mech 22, 220–228 (2001). https://doi.org/10.1007/BF02437886
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DOI: https://doi.org/10.1007/BF02437886