Mixed convection boundary layer flow of a viscoelastic fluid past a sphere

The study of viscoelastic fluids gives many opportunities to mathematicians, numerical analysts and simulationists to introduce suitable algorithms for computing the flow due to fulfil many application of it such as in paints, coating, inks, and jet fuels. In this thesis, the mixed convection bounda...

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Main Author:	Dasman, Anisah
Format:	Thesis
Language:	English
Published:	2010
Subjects:	Q Science (General)
Online Access:	http://eprints.utm.my/id/eprint/16540/7/AnisahDasmanMFSA2010.pdf
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id	my-utm-ep.16540
record_format	uketd_dc
spelling	my-utm-ep.165402017-09-18T04:40:33Z Mixed convection boundary layer flow of a viscoelastic fluid past a sphere 2010 Dasman, Anisah Q Science (General) The study of viscoelastic fluids gives many opportunities to mathematicians, numerical analysts and simulationists to introduce suitable algorithms for computing the flow due to fulfil many application of it such as in paints, coating, inks, and jet fuels. In this thesis, the mixed convection boundary layer flow of a viscoelastic fluid past a sphere subjected to constant temperature has been studied. The constitutive equations of viscoelastic fluids usually generate a higher-order derivative term in the momentum equation than equations of Newtonian fluid. Thus, we are facing the problem where the boundary conditions insufficient to solve the problems of viscoelastic fluid completely. Therefore, we need an extra boundary condition by augmenting an extra boundary condition at infinity. The governing boundary layer equations are first transformed into a non-dimensional form, and then, into a set of non similar boundary layer equations, which are solved numerically using an efficient implicit finite-difference method known as Keller-box method. Numerical results are presented for different values of the viscoelastic and mixed convection parameters K and ? , respectively, and with the Prandtl number Pr = 0.7, 1 and 7. It is found that both skin friction f C and heat transfer w Q coefficients decrease as K is increased. Further, for cases of cooling sphere (? ?0) and heating sphere(? ?0), the boundary layer separates from the sphere. It is worth mentioning that the result obtained in viscoelastic fluid when we set the value of K = 0 (Newtonian fluid), are in excellent agreement with those obtained in viscous fluid. 2010 Thesis http://eprints.utm.my/id/eprint/16540/ http://eprints.utm.my/id/eprint/16540/7/AnisahDasmanMFSA2010.pdf application/pdf en public masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	Q Science (General)
spellingShingle	Q Science (General) Dasman, Anisah Mixed convection boundary layer flow of a viscoelastic fluid past a sphere
description	The study of viscoelastic fluids gives many opportunities to mathematicians, numerical analysts and simulationists to introduce suitable algorithms for computing the flow due to fulfil many application of it such as in paints, coating, inks, and jet fuels. In this thesis, the mixed convection boundary layer flow of a viscoelastic fluid past a sphere subjected to constant temperature has been studied. The constitutive equations of viscoelastic fluids usually generate a higher-order derivative term in the momentum equation than equations of Newtonian fluid. Thus, we are facing the problem where the boundary conditions insufficient to solve the problems of viscoelastic fluid completely. Therefore, we need an extra boundary condition by augmenting an extra boundary condition at infinity. The governing boundary layer equations are first transformed into a non-dimensional form, and then, into a set of non similar boundary layer equations, which are solved numerically using an efficient implicit finite-difference method known as Keller-box method. Numerical results are presented for different values of the viscoelastic and mixed convection parameters K and ? , respectively, and with the Prandtl number Pr = 0.7, 1 and 7. It is found that both skin friction f C and heat transfer w Q coefficients decrease as K is increased. Further, for cases of cooling sphere (? ?0) and heating sphere(? ?0), the boundary layer separates from the sphere. It is worth mentioning that the result obtained in viscoelastic fluid when we set the value of K = 0 (Newtonian fluid), are in excellent agreement with those obtained in viscous fluid.
format	Thesis
qualification_level	Master's degree
author	Dasman, Anisah
author_facet	Dasman, Anisah
author_sort	Dasman, Anisah
title	Mixed convection boundary layer flow of a viscoelastic fluid past a sphere
title_short	Mixed convection boundary layer flow of a viscoelastic fluid past a sphere
title_full	Mixed convection boundary layer flow of a viscoelastic fluid past a sphere
title_fullStr	Mixed convection boundary layer flow of a viscoelastic fluid past a sphere
title_full_unstemmed	Mixed convection boundary layer flow of a viscoelastic fluid past a sphere
title_sort	mixed convection boundary layer flow of a viscoelastic fluid past a sphere
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2010
url	http://eprints.utm.my/id/eprint/16540/7/AnisahDasmanMFSA2010.pdf
_version_	1747815067826520064

Mixed convection boundary layer flow of a viscoelastic fluid past a sphere

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