Convection in a ferrofluid layer of anisotropic and non-anisotropic porous medium

In this thesis, the stability convection in a ferrofluid layer with the internal heating effect is formulated mathematically. The linear and nonlinear stability analysis opt to the Marangoni-Benard convection and chaotic convection, respectively. Two objectives is discussed on the onset of Marangoni...

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Main Author:	Senin, Nor Halawati
Format:	Thesis
Language:	English
Published:	2020
Subjects:	Linear systems Magnetic fluids
Online Access:	http://psasir.upm.edu.my/id/eprint/98735/1/IPM%202021%2011%20-%20IR.pdf
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spelling	my-upm-ir.987352022-09-15T06:40:41Z Convection in a ferrofluid layer of anisotropic and non-anisotropic porous medium 2020-12 Senin, Nor Halawati In this thesis, the stability convection in a ferrofluid layer with the internal heating effect is formulated mathematically. The linear and nonlinear stability analysis opt to the Marangoni-Benard convection and chaotic convection, respectively. Two objectives is discussed on the onset of Marangoni-Benard convection in a fluid layer system as well as an anisotropic saturated porous medium. For the linear stability analysis, the resulting eigenvalues are solved analytically using regular perturbation technique with wave number as a perturbation parameter with the rigid and upper free insulating boundaries. Another two objectives under a chaotic convection also considering two different medium which are fluid layer system and anisotropic porous medium. As for the nonlinear stability analysis, the Galerkin truncation method is used to obtain a Lorenz-like model concerning the lower and upper free isothermal boundary. The impact of internal heating, deformable, magnetic number, temperaturedependent viscosity, variable gravity, an anisotropic parameter with respect to the parameter of interest which are Marangoni number and Rayleigh number, are analyzed and presented graphically. Scrutinizing the effect of internal heating in all cases revealed that the thermal disturbance elevated proportionally making the system become unstable. This is due to a large deviation in the basic temperature distribution that enhances the thermal disturbances in the ferrofluid layer system. Moreover, an increase of magnetic number, magnetic Rayleigh number, Crispation value and temperature-dependent viscosity also will enhance the onset of convection in the system. Meanwhile, the increasing of a bond number will delay the convection. As for the anisotropic porous medium, the result shows that the increment of anisotropic permeability will destabilize the system while the thermal anisotropy and ratio viscosity delay the Marangoni-Benard convection. The behavior of internal heating, magnetic number, anisotropic permeability, thermal anisotropy diffusivity and ratio viscosity are studied respected to the modified Rayleigh number. Chaotic convection can be strongly delayed under the influence of increasing thermal anisotropy diffusivity, ratio viscosity and also reducing the value of internal heating, magnetic number and anisotropic permeability. Linear systems Magnetic fluids 2020-12 Thesis http://psasir.upm.edu.my/id/eprint/98735/ http://psasir.upm.edu.my/id/eprint/98735/1/IPM%202021%2011%20-%20IR.pdf text en public masters Universiti Putra Malaysia Linear systems Magnetic fluids Mohd Mokhtar, Nor Fadzillah
institution	Universiti Putra Malaysia
collection	PSAS Institutional Repository
language	English
advisor	Mohd Mokhtar, Nor Fadzillah
topic	Linear systems Magnetic fluids
spellingShingle	Linear systems Magnetic fluids Senin, Nor Halawati Convection in a ferrofluid layer of anisotropic and non-anisotropic porous medium
description	In this thesis, the stability convection in a ferrofluid layer with the internal heating effect is formulated mathematically. The linear and nonlinear stability analysis opt to the Marangoni-Benard convection and chaotic convection, respectively. Two objectives is discussed on the onset of Marangoni-Benard convection in a fluid layer system as well as an anisotropic saturated porous medium. For the linear stability analysis, the resulting eigenvalues are solved analytically using regular perturbation technique with wave number as a perturbation parameter with the rigid and upper free insulating boundaries. Another two objectives under a chaotic convection also considering two different medium which are fluid layer system and anisotropic porous medium. As for the nonlinear stability analysis, the Galerkin truncation method is used to obtain a Lorenz-like model concerning the lower and upper free isothermal boundary. The impact of internal heating, deformable, magnetic number, temperaturedependent viscosity, variable gravity, an anisotropic parameter with respect to the parameter of interest which are Marangoni number and Rayleigh number, are analyzed and presented graphically. Scrutinizing the effect of internal heating in all cases revealed that the thermal disturbance elevated proportionally making the system become unstable. This is due to a large deviation in the basic temperature distribution that enhances the thermal disturbances in the ferrofluid layer system. Moreover, an increase of magnetic number, magnetic Rayleigh number, Crispation value and temperature-dependent viscosity also will enhance the onset of convection in the system. Meanwhile, the increasing of a bond number will delay the convection. As for the anisotropic porous medium, the result shows that the increment of anisotropic permeability will destabilize the system while the thermal anisotropy and ratio viscosity delay the Marangoni-Benard convection. The behavior of internal heating, magnetic number, anisotropic permeability, thermal anisotropy diffusivity and ratio viscosity are studied respected to the modified Rayleigh number. Chaotic convection can be strongly delayed under the influence of increasing thermal anisotropy diffusivity, ratio viscosity and also reducing the value of internal heating, magnetic number and anisotropic permeability.
format	Thesis
qualification_level	Master's degree
author	Senin, Nor Halawati
author_facet	Senin, Nor Halawati
author_sort	Senin, Nor Halawati
title	Convection in a ferrofluid layer of anisotropic and non-anisotropic porous medium
title_short	Convection in a ferrofluid layer of anisotropic and non-anisotropic porous medium
title_full	Convection in a ferrofluid layer of anisotropic and non-anisotropic porous medium
title_fullStr	Convection in a ferrofluid layer of anisotropic and non-anisotropic porous medium
title_full_unstemmed	Convection in a ferrofluid layer of anisotropic and non-anisotropic porous medium
title_sort	convection in a ferrofluid layer of anisotropic and non-anisotropic porous medium
granting_institution	Universiti Putra Malaysia
publishDate	2020
url	http://psasir.upm.edu.my/id/eprint/98735/1/IPM%202021%2011%20-%20IR.pdf
_version_	1747813887718195200

Convection in a ferrofluid layer of anisotropic and non-anisotropic porous medium

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