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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.481212018-05-30T03:57:59Z http://eprints.utm.my/id/eprint/48121/ Free and mixed convective boundary layer flow of a viscoelastic fluid past a horizontal circular cylinser 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 NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/48121/1/AbdulRahmanMohdKasimMFS2011.pdf Mohd. Kasim, Abdul Rahman (2011) Free and mixed convective boundary layer flow of a viscoelastic fluid past a horizontal circular cylinser. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science. 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
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
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
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
publishDate 2011
url http://eprints.utm.my/id/eprint/48121/1/AbdulRahmanMohdKasimMFS2011.pdf
http://eprints.utm.my/id/eprint/48121/
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
_version_ 1643652466378539008
score 13.211869

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