Periodic Stream Lines in the Three-Dimensional Square Cell Pattern

LI Ji-bin; DUAN Wan-suo

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LI Ji-bin, DUAN Wan-suo. Periodic Stream Lines in the Three-Dimensional Square Cell Pattern[J]. Applied Mathematics and Mechanics, 2001, 22(2): 191-198.

Citation:

LI Ji-bin, DUAN Wan-suo. Periodic Stream Lines in the Three-Dimensional Square Cell Pattern[J]. Applied Mathematics and Mechanics, 2001, 22(2): 191-198.

Citation:

LI Ji-bin, DUAN Wan-suo. Periodic Stream Lines in the Three-Dimensional Square Cell Pattern[J]. Applied Mathematics and Mechanics, 2001, 22(2): 191-198.

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Periodic Stream Lines in the Three-Dimensional Square Cell Pattern

Center for Nonlinear Science Studies, Kunming University of Science and Technology, Kunming 650093, P. R. China

Received Date: 1999-11-05
Rev Recd Date: 2000-10-03
Publish Date: 2001-02-15

Abstract

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.
- Rayleigh-Benard convection,
- periodic solutions,
- Hamiltonian systems,
- square cell pattern

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References(7)

References

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