Chaotic Convection in a Simple System Modified by Differential Heating

Ookouchi, Yasumasa; Hada, Tohru

doi:10.1143/jpsj.66.369

Cited by 4 publications

(2 citation statements)

References 7 publications

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“…In 1997, [7] modified the Lorenz's system by including two additional term: intensifies the vorticity and stabilizes the temperature field to investigate the convective motion heated from below with a sinusoidal differential heating. From the observation, they found that, the onset of chaotic convection is suppressed by the temperature difference and the marginal Rayleigh number is proportional to h 2 , where h is the horizontal difference in Rayleigh numbers.…”

Section: Introductionmentioning

confidence: 99%

Chaos of Double Diffusive Convection in the Presence of Feedback Control Strategy

Siri¹,

Hasan²,

Ibrahim³

2018

IJAPM

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Section: Introductionmentioning

confidence: 99%

Chaos of Double Diffusive Convection in the Presence of Feedback Control Strategy

Siri¹,

Hasan²,

Ibrahim³

2018

IJAPM

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“…This behaviour is also known as the "butterfly effect" related to work done by Lorenz [1] where it is already described by Henri Poincare in 1890 in the literature in a particular case of the three-body problem. Chaotic behaviour has been studied intensively in various dynamical systems; see, for example, [2][3][4][5][6][7][8][9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

On a Five-Dimensional Chaotic System Arising from Double-Diffusive Convection in a Fluid Layer

Idris

Siri

Hashim

2013

Abstract and Applied Analysis

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A chaotic system arising from double-diffusive convection in a fluid layer is investigated in this paper based on the theory of dynamical systems. A five-dimensional model of chaotic system is obtained using the Galerkin truncated approximation. The results showed that the transition from steady convection to chaos via a Hopf bifurcation produced a limit cycle which may be associated with a homoclinic explosion at a slightly subcritical value of the Rayleigh number.

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A Coupled Motion of the Thermally Induced Fluid Convection and the Membrane Motion

2008

Journal of Computational and Nonlinear Dynamics

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The present study formulates a model for a coupled oscillation of the convective flow and the solid membrane vibration, which occurs in a 2D domain of a fluid cell. The convection flow is induced by the transient thermal field of the membrane at the bottom of the fluid. The heat conduction in the solid material also causes the membrane to vibrate. This flow motion deviates from the conventional Rayleigh–Benard problem in that a transient thermal field causes the convection flow instead of a constant temperature gradient. A numerical computation reveals the synchronized motion behaviors between the Lorenz-type oscillator for the convection flow and the Duffing oscillator for the membrane motion. The bifurcation conditions from the stability analysis of the model justify the steady-state attractor behaviors and the difference in behavior from the oscillators without coupling.

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Chaotic Convection in a Simple System Modified by Differential Heating

Cited by 4 publications

References 7 publications

Chaos of Double Diffusive Convection in the Presence of Feedback Control Strategy

Chaos of Double Diffusive Convection in the Presence of Feedback Control Strategy

On a Five-Dimensional Chaotic System Arising from Double-Diffusive Convection in a Fluid Layer

A Coupled Motion of the Thermally Induced Fluid Convection and the Membrane Motion

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