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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| التنسيق: | أطروحة |
| اللغة: | English |
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2011
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| الوصول للمادة أونلاين: | http://eprints.utm.my/id/eprint/48121/1/AbdulRahmanMohdKasimMFS2011.pdf |
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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 |