Chaotic Convection in a Ferrofluid with Internal Heat Generation

Senin, Nor Halawati; Mokhtar, Nor Fadzillah Mohd; Sathar, Mohamad Hasan Abdul

doi:10.37934/cfdl.12.10.6274

Cited by 4 publications

(4 citation statements)

References 23 publications

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“…Analyzed chaos in the industrial field 2020 Senin studied the route to the chaos of a ferrofluid layer system in internal heating [12].…”

Section: Mathematical Model Of An Atmospheric Convective System Consi...mentioning

confidence: 99%

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Chaotic model and control of an atmospheric convective system coupled with large-scale circulation

Zhang,

Liu,

et al. 2024

Phys. Scr.

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Large-scale weather systems affect or determine the generation, development and movement of small- and medium-scale convective weather systems, and the understanding of their influence mechanism is of great significance for the prediction and forecasting of small- and medium-scale convective systems. From the perspective of dynamics, based on the Lorenz–Stenflo model describing convective systems and the Lorenz84 model describing low-order atmospheric circulation, we construct a chaotic model of an atmospheric convective system considering large-scale circulation, analyze the influence of the system parameters on the convective system, and design a state feedback controller to adjust the convective motion. For the constructed convective weather system model, the existence and boundedness of its solution are analyzed, the Hamiltonian quantity is solved, the dynamic characteristics of the Lyapunov index, bifurcation diagram, attractor phase diagram and other methods are used to analyze its dynamic characteristics, the physical significance of its dynamic behavior is discussed, and the influence mechanism of the system parameters on convective weather is given. Additionally, the temperature difference between the upper and lower air currents is changed by the state feedback method, which provides a feasible scheme for adjusting the intensity of convective motion. The simulation experiments show that the chaotic model can explain and reveal the complex dynamic behavior of large-scale weather circulation in small- and medium-scale convective systems, which is of great significance for improving the prediction accuracy of convective systems in local areas, and feedback control can obtain the desired convective motion state.

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“…Analyzed chaos in the industrial field 2020 Senin studied the route to the chaos of a ferrofluid layer system in internal heating [12].…”

Section: Mathematical Model Of An Atmospheric Convective System Consi...mentioning

confidence: 99%

“…In 2013, Laroze analyzed the chaotic convective behavior of an electrically nonconducting ferrofluid, in contrast to magnetohydrodynamic systems, where chaotic motion is accompanied by appropriate electric currents [11]. In 2020, Senin studied the route to the chaos of a ferrofluid layer system in internal heating [12].…”

Section: Introductionmentioning

confidence: 99%

Chaotic model and control of an atmospheric convective system coupled with large-scale circulation

Zhang,

Liu,

et al. 2024

Phys. Scr.

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“…First developed by NASA in the 1960s for space-related applications, ferrofluids have since found a wide array of applications in engineering, medicine, electronics, and various other fields. Some of the notable applications include magnetic sealing, damping, drug delivery systems, loudspeaker technology and cooling in electronics [1][2][3][4][5].…”

Section: Introductionmentioning

confidence: 99%

Saturated Porous Ferroconvection in a Ferrofluid Layer with Viscosity as a Function of Magnetic Field: Focus on Convective Boundary Condition

Rajagopalan Suprabha,

Chikkabagilu Rudraiah Mahesha,

Chikkanalluru Erappa Nanjundappa

2024

ARFMTS

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The present work aims to examine the influence of magnetic field dependent (MFD) viscosity on the onset of ferroconvection (FC) in a horizontal porous layer saturated with a quiescent ferrofluid (FF) and subjected to a uniform vertical magnetic field. It is assumed that the porous boundaries at the bottom and top are rigid-paramagnetic. The thermal conditions consist of a constant heat flux at the lower surface and a convective boundary condition at the upper surface, encompassing fixed temperature and uniform heat flux cases. The application of the Galerkin technique to the resulting eigenvalue problem reveals that the stability region expands as the porous parameter, Biot number, MFD viscosity parameter and magnetic susceptibility increase in magnitude. Conversely, the stability region contracts as the magnetic number and non-linearity of magnetization increase. Furthermore, it is noted that under uniform heat flux boundary conditions, the criterion for the initiation of ferroconvection remains unaffected by the non-linearity of fluid magnetization.

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“…The corresponding problem in a ferrofluid layer has also been studied 41 . Recently, Senin et al 42 studied the chaotic convection in a ferrofluid layer subject to internal heating and found that the impact of increasing the internal heat source strength is to hasten the instability of the system.…”

Section: Introductionmentioning

confidence: 99%

Exploration of energy‐based volumetric heating on ferrothermal porous convection: Effects of MFD viscosity and boundary conditions

Nanjundappa

Shivakumara

2022

Heat Trans

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The impact of energy-based volumetric internal heating and magnetic field-dependent (MFD) viscosity on the onset of ferrothermal porous convection for different types of boundary conditions is investigated. The lower and upper boundaries are considered to be either rigid or stress-free. The lower boundary is insulating, while at the upper boundary a Robin type of thermal condition is applied. Besides this, a general type of boundary conditions is invoked on the magnetic potential. The stability eigenvalue problem is solved numerically using the Galerkin-type of weighted residuals technique with the Rayleigh number, R t as the eigenvalue. The results obtained for different boundary combinations are found to be qualitatively similar though not quantitatively. The effect of Biot number, MFD viscosity, and porous parameters is to hinder, while the influence of internal heat source strength, magnetic number, and the nonlinearity of fluid magnetization is to advance the onset of convection. The rigid and conducting boundaries offer a more stabilizing influence on the onset when compared to stress-free and insulating boundaries. The convection cells get contracted the most when the boundaries are rigid and also when the upper boundary

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Chaotic Convection in a Ferrofluid with Internal Heat Generation

Cited by 4 publications

References 23 publications

Chaotic model and control of an atmospheric convective system coupled with large-scale circulation

Chaotic model and control of an atmospheric convective system coupled with large-scale circulation

Saturated Porous Ferroconvection in a Ferrofluid Layer with Viscosity as a Function of Magnetic Field: Focus on Convective Boundary Condition

Exploration of energy‐based volumetric heating on ferrothermal porous convection: Effects of MFD viscosity and boundary conditions

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