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Numerical investigation of the instability of Benard problem

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  • Allan, Fathi M.
  • Syam, Mohammad I.

Abstract

In this work, the dynamics of instability of a liquid layer heated from below, which is know as Benard problem is investigated. It is a prototype of nonlinear problem where the instability is governed by the two parameters: the Grashof number Gr, and the Prandtl number Pr.

Suggested Citation

  • Allan, Fathi M. & Syam, Mohammad I., 2009. "Numerical investigation of the instability of Benard problem," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1552-1558.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:3:p:1552-1558
    DOI: 10.1016/j.chaos.2007.09.089
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    References listed on IDEAS

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    1. Gao, Tiegang & Chen, Zengqiang & Gu, Qiaolun & Yuan, Zhuzhi, 2008. "A new hyper-chaos generated from generalized Lorenz system via nonlinear feedback," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 390-397.
    2. Chen, Zhi-Min & Price, W.G., 2006. "On the relation between Rayleigh–Bénard convection and Lorenz system," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 571-578.
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