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Suppression of Chaos in Porous Media Convection under Multifrequency Gravitational Modulation

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  • Karam Allali

Abstract

Suppression of chaos in porous media convection under multifrequency gravitational modulation is investigated in this paper. For this purpose, a two-dimensional rectangular fluid-saturated porous layer heated from below subjected to a vertical gravitational modulation will be considered. The model consists of nonlinear heat equation coupled with a system of equations describing the motion under Darcy law. The time-dependent gravitational modulation is assumed to be with two frequencies and . A spectral method of solution is used in order to reduce the problem to a system of four ordinary differential equations. The system is solved numerically by using the fifth- and a sixth-order Runge-Kutta-Verner method. Oscillating and chaotic convection regimes are observed. It was shown that chaos can be suppressed by appropriate tuning of the frequencies’ ratio .

Suggested Citation

  • Karam Allali, 2018. "Suppression of Chaos in Porous Media Convection under Multifrequency Gravitational Modulation," Advances in Mathematical Physics, Hindawi, vol. 2018, pages 1-8, April.
    • Handle: RePEc:hin:jnlamp:1764182
    DOI: 10.1155/2018/1764182
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