Free and mixed convective boundary layer flow of a viscoelastic fluid past a horizontal circular cylinser

The study o f viscoelastic fluid has become increasingly important in the last few years. This is mainly due to its many applications in petroleum drilling, manufacturing o f food and paper, and many other similar activities. In this thesis, the steady free and mixed convective boundary layer flo...

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Main Author:	Mohd. Kasim, Abdul Rahman
Format:	Thesis
Language:	English
Published:	2011
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/48121/1/AbdulRahmanMohdKasimMFS2011.pdf
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spelling	my-utm-ep.481212018-05-30T03:57:59Z Free and mixed convective boundary layer flow of a viscoelastic fluid past a horizontal circular cylinser 2011 Mohd. Kasim, Abdul Rahman QA Mathematics The study o f viscoelastic fluid has become increasingly important in the last few years. This is mainly due to its many applications in petroleum drilling, manufacturing o f food and paper, and many other similar activities. In this thesis, the steady free and mixed convective boundary layer flow of a viscoelastic fluid past a horizontal circular cylinder has been studied separately subject to their own constant surface temperature boundary conditions. For the problem of m ixed convection, the study also considered the problem that subjected to constant heat flux boundary conditions. The constitutive equations of viscoelastic fluids usually generate a higher-order derivative term in the momentum equation than equations of Newtonian fluid. Thus, there are insufficient boundary conditions to solve the problems of viscoelastic fluid completely. Therefore, the augmentation o f an extra boundary condition is needed at infinity (far from the wall). In each case, 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 im plicit finite-difference method known as K eller-box scheme. Numerical result presented include velocity profiles, temperature profiles, heat transfer characteristics, namely the local heat transfer, local skin friction coefficient and local wall temperature distribution for a w ide range of material paramater K (viscoelastic parameter), prandtl number Pr, and m ixed convection parameter X. In each problem, it is found that velocity distributions decrease when the value of viscoelastic parameter, K increases, whereas the opposite behaviour is observed for the temperature distribution. It is worth mentioning that the results obtained in viscoelastics fluids when the parameter K = 0 (Newtonian fluids) are in excellent agreement with those obtained in viscous fluids (Newtonian fluids). 2011 Thesis http://eprints.utm.my/id/eprint/48121/ http://eprints.utm.my/id/eprint/48121/1/AbdulRahmanMohdKasimMFS2011.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:89294?queryType=vitalDismax&query=Free+and+mixed+convective+boundary+layer+flow+of+a+viscoelastic+fluid+past+a+horizontal+circular+cylinser&public=true 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 Mohd. Kasim, Abdul Rahman Free and mixed convective boundary layer flow of a viscoelastic fluid past a horizontal circular cylinser
description	The study o f viscoelastic fluid has become increasingly important in the last few years. This is mainly due to its many applications in petroleum drilling, manufacturing o f food and paper, and many other similar activities. In this thesis, the steady free and mixed convective boundary layer flow of a viscoelastic fluid past a horizontal circular cylinder has been studied separately subject to their own constant surface temperature boundary conditions. For the problem of m ixed convection, the study also considered the problem that subjected to constant heat flux boundary conditions. The constitutive equations of viscoelastic fluids usually generate a higher-order derivative term in the momentum equation than equations of Newtonian fluid. Thus, there are insufficient boundary conditions to solve the problems of viscoelastic fluid completely. Therefore, the augmentation o f an extra boundary condition is needed at infinity (far from the wall). In each case, 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 im plicit finite-difference method known as K eller-box scheme. Numerical result presented include velocity profiles, temperature profiles, heat transfer characteristics, namely the local heat transfer, local skin friction coefficient and local wall temperature distribution for a w ide range of material paramater K (viscoelastic parameter), prandtl number Pr, and m ixed convection parameter X. In each problem, it is found that velocity distributions decrease when the value of viscoelastic parameter, K increases, whereas the opposite behaviour is observed for the temperature distribution. It is worth mentioning that the results obtained in viscoelastics fluids when the parameter K = 0 (Newtonian fluids) are in excellent agreement with those obtained in viscous fluids (Newtonian fluids).
format	Thesis
qualification_level	Master's degree
author	Mohd. Kasim, Abdul Rahman
author_facet	Mohd. Kasim, Abdul Rahman
author_sort	Mohd. Kasim, Abdul Rahman
title	Free and mixed convective boundary layer flow of a viscoelastic fluid past a horizontal circular cylinser
title_short	Free and mixed convective boundary layer flow of a viscoelastic fluid past a horizontal circular cylinser
title_full	Free and mixed convective boundary layer flow of a viscoelastic fluid past a horizontal circular cylinser
title_fullStr	Free and mixed convective boundary layer flow of a viscoelastic fluid past a horizontal circular cylinser
title_full_unstemmed	Free and mixed convective boundary layer flow of a viscoelastic fluid past a horizontal circular cylinser
title_sort	free and mixed convective boundary layer flow of a viscoelastic fluid past a horizontal circular cylinser
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2011
url	http://eprints.utm.my/id/eprint/48121/1/AbdulRahmanMohdKasimMFS2011.pdf
_version_	1747817312878067712

Free and mixed convective boundary layer flow of a viscoelastic fluid past a horizontal circular cylinser

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