Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (2): 220-228.

• Articles • Previous Articles     Next Articles

PERIODIC STREAM LINES IN THE THREE-DIMENSIONAL SQUARE CELL PATTERN

LI Ji-bin, DUAN Wan-suo   

  1. Center for Nonlinear Science Studies, Kunming University of Science and Technology, Kunming 650093, P. R. China
  • Received:1999-11-05 Revised:2000-10-03 Online:2001-02-18 Published:2001-02-18
  • Supported by:
    the National Natural Science Foundation of China(19731003);the Natural Science Foundation of Yunnan Province

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 three-dimensional flow pattern to be described in an unambiguous manner, and some experimental results of other authors can be explained.

Key words: Rayleigh-Benard convection, periodic solutions, Hamiltonian systems, square cell pattern

2010 MSC Number: 

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