Chaotic convection in a rotating fluid layer

Gupta, Vinod K.; Bhadauria, B. S.; Hasim, I; Jawdat, J. M.; Singh, A. K.

doi:10.1016/j.aej.2015.09.002

Cited by 25 publications

(13 citation statements)

References 17 publications

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“…Also the eigenvalues from Eq. (80) become equal and complex conjugate when R varies from 24.73684209 to 34.90344691 given by Gupta et al [28]. The evolution of trajectories over a time domain in the state space for increasing the values of scaled Rayleigh number and modulation terms is given in the figures.…”

Section: Resultsmentioning

confidence: 90%

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G-Jitter Effects on Chaotic Convection in a Rotating Fluid Layer

Kiran¹

2020

Advances in Condensed-Matter and Materials Physics - Rudimentary Research to Topical Technology

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The effect of gravity modulation and rotation on chaotic convection is investigated. A system of differential equation like Lorenz model has been obtained using the Galerkin-truncated Fourier series approximation. The nonlinear nature of the problem, i.e., chaotic convection, is investigated in a rotating fluid layer in the presence of g-jitter. The NDSolve Mathematica 2017 is employed to obtain the numerical solutions of Lorenz system of equations. It is found that there is a proportional relation between Taylor number and the scaled Rayleigh number R in the presence of modulation. This means that chaotic convection can be delayed (for increasing value of R) or advanced with suitable adjustments of Taylor number and amplitude and frequency of gravity modulation. Further, heat transfer results are obtained in terms of finite amplitude. Finally, we conclude that the transition from steady convection to chaos depends on the values of Taylor number and g-jitter parameter.

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Section: Resultsmentioning

confidence: 90%

“…The effect of rotation on chaos is investigated by Gupta et al [28] without any modulation. They found that rotation has delay in chaos and controls nonlinearity.…”

Section: Introductionmentioning

confidence: 99%

G-Jitter Effects on Chaotic Convection in a Rotating Fluid Layer

Kiran¹

2020

Advances in Condensed-Matter and Materials Physics - Rudimentary Research to Topical Technology

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“…Aside from this, Kiran et al, [3] examined the impact of through flow in chaotic convection. Gupta et al, [4] had studied the chaotic convection in the existence of a rotating effect. In the literature, there are a few examples of chaos in double-diffusive convection, such as by Abu-Zaid and Ahmadi [5] in the presence of noise and Narayana et al, [6], who studied the external magnetic field in a viscoelastic fluid.…”

Section: Introductionmentioning

confidence: 99%

Chaotic Convection in a Ferrofluid with Internal Heat Generation

Senin

Mokhtar

Sathar

2020

CFDL

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The nonlinear stability analysis of a ferrofluid layer system is formulated mathematically. This system considered the upper and lower free isothermal boundary with the system heated from below. A mathematical formulation is produced to study the behaviour of the chaotic convection in a ferrofluid layer system using Galerkin truncated expansion. The Boussinesq approximation is opted with the existence of internal heating and the magnetic number. It is found that the transition to chaos in this present study is identical to the Lorenz attractor and thus validate the method and analysis of this study. The impact of elevating the internal heat generation is found to hasten the instability of the system and as for the magnetic number, at M1 = 2.5 the homoclinic bifurcation occurs and thus accelerates the convection process.

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“…There was also found a convection regime in which a chaotic change in direction (inversion) and amplitude of the perturbed magnetic field occurs, taking into account the nonuniform rotation of the medium and the nonuniform external azimuthal magnetic field. Earlier, a weakly nonlinear stage for rotating magnetoconvection (for Ω = const), in which a chaotic regime occurs, was studied in rotating fluid layers [15]- [16], in conducting media with a uniform magnetic field [17]- [20], and in conducting mediums rotating with a magnetic field [21]. However, the dynamics of the magnetic field itself was not considered in these works, which corresponds to the non-inductive approximation.…”

Section: Introductionmentioning

confidence: 99%

Weakly nonlinear magnetic convection in a nonuniformly rotating electrically conductive medium under the action of modulation of external fields

Kopp¹,

Тур²,

Yanovsky³

2019

Preprint

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In this paper we studied the weakly nonlinear stage of stationary convective instability in a nonuniformly rotating layer of an electrically conductive fluid in an axial uniform magnetic field under the influence of: a) temperature modulation of the layer boundaries; b) gravitational modulation; c) modulation of the magnetic field; d) modulation of the angular velocity of rotation. As a result of applying the method of perturbation theory for the small parameter of supercriticality of the stationary Rayleigh number nonlinear nonautonomous Ginzburg-Landau equations for the above types of modulation were obtaned. By utilizing the solution of the Ginzburg-Landau equation, we determined the dynamics of unsteady heat transfer for various types of modulation of external fields and for different profiles of the angular velocity of the rotation of electrically conductive fluid.

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Chaotic convection in a rotating fluid layer

Cited by 25 publications

References 17 publications

G-Jitter Effects on Chaotic Convection in a Rotating Fluid Layer

G-Jitter Effects on Chaotic Convection in a Rotating Fluid Layer

Chaotic Convection in a Ferrofluid with Internal Heat Generation

Weakly nonlinear magnetic convection in a nonuniformly rotating electrically conductive medium under the action of modulation of external fields

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