Mathematical modelling of unsteady biomagnetic fluid flow and heat transfer with gravitational acceleration

Numerical computation and simulation have been carried out on the two-dimensional Navier Stokes equations with a coupling of biomagnetic fluid dynamics and heat transfer. Biomagnetic fluid refers to a fluid that exists in living creature with its flow influenced by the presence of magnetic field. St...

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Main Author:	Idris, Nor Amirah
Format:	Thesis
Language:	English
Published:	2015
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/53581/25/NorAmirahIdrisMFS2015.pdf
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id	my-utm-ep.53581
record_format	uketd_dc
spelling	my-utm-ep.535812020-07-22T01:02:28Z Mathematical modelling of unsteady biomagnetic fluid flow and heat transfer with gravitational acceleration 2015-03 Idris, Nor Amirah QA Mathematics Numerical computation and simulation have been carried out on the two-dimensional Navier Stokes equations with a coupling of biomagnetic fluid dynamics and heat transfer. Biomagnetic fluid refers to a fluid that exists in living creature with its flow influenced by the presence of magnetic field. Studies have shown that the flow of biomagnetic fluid under spatially varying magnetic field could be adequately modelled based on the principle of ferrohydrodynamics. The main objective of this research is to employ the model of biomagnetic fluid using the principle of ferrohydrodynamics to investigate the effect of gravitational acceleration on unsteady fluid flow. This study is important because most existing studies on two-dimensional biomagnetic fluids only analyze flows in the steady state conditions and the effect of gravitational acceleration have not been addressed. The governing equations consist of a set of nonlinear partial differential equations which are first non-dimensionalized and then discretized using a finite difference technique on a staggered grid system. The discretized equations are solved using the pressure correction method based on the Semi-Implicit Method for Pressure Linked Equations ( SIMPLE) algorithm. The numerical results show that the gravitational acceleration has a profound effect on both velocity and temperature profiles. The streamlines plotted show that vortices appear near the lower plate where the magnetic source is located and the distraction becomes greater with the increase of magnetic field strength. 2015-03 Thesis http://eprints.utm.my/id/eprint/53581/ http://eprints.utm.my/id/eprint/53581/25/NorAmirahIdrisMFS2015.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:84056 masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Idris, Nor Amirah Mathematical modelling of unsteady biomagnetic fluid flow and heat transfer with gravitational acceleration
description	Numerical computation and simulation have been carried out on the two-dimensional Navier Stokes equations with a coupling of biomagnetic fluid dynamics and heat transfer. Biomagnetic fluid refers to a fluid that exists in living creature with its flow influenced by the presence of magnetic field. Studies have shown that the flow of biomagnetic fluid under spatially varying magnetic field could be adequately modelled based on the principle of ferrohydrodynamics. The main objective of this research is to employ the model of biomagnetic fluid using the principle of ferrohydrodynamics to investigate the effect of gravitational acceleration on unsteady fluid flow. This study is important because most existing studies on two-dimensional biomagnetic fluids only analyze flows in the steady state conditions and the effect of gravitational acceleration have not been addressed. The governing equations consist of a set of nonlinear partial differential equations which are first non-dimensionalized and then discretized using a finite difference technique on a staggered grid system. The discretized equations are solved using the pressure correction method based on the Semi-Implicit Method for Pressure Linked Equations ( SIMPLE) algorithm. The numerical results show that the gravitational acceleration has a profound effect on both velocity and temperature profiles. The streamlines plotted show that vortices appear near the lower plate where the magnetic source is located and the distraction becomes greater with the increase of magnetic field strength.
format	Thesis
qualification_level	Master's degree
author	Idris, Nor Amirah
author_facet	Idris, Nor Amirah
author_sort	Idris, Nor Amirah
title	Mathematical modelling of unsteady biomagnetic fluid flow and heat transfer with gravitational acceleration
title_short	Mathematical modelling of unsteady biomagnetic fluid flow and heat transfer with gravitational acceleration
title_full	Mathematical modelling of unsteady biomagnetic fluid flow and heat transfer with gravitational acceleration
title_fullStr	Mathematical modelling of unsteady biomagnetic fluid flow and heat transfer with gravitational acceleration
title_full_unstemmed	Mathematical modelling of unsteady biomagnetic fluid flow and heat transfer with gravitational acceleration
title_sort	mathematical modelling of unsteady biomagnetic fluid flow and heat transfer with gravitational acceleration
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2015
url	http://eprints.utm.my/id/eprint/53581/25/NorAmirahIdrisMFS2015.pdf
_version_	1747817586926551040

Mathematical modelling of unsteady biomagnetic fluid flow and heat transfer with gravitational acceleration

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