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: | |
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| Format: | Thesis |
| Language: | English |
| Published: |
2011
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/48121/1/AbdulRahmanMohdKasimMFS2011.pdf |
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| Summary: | 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). |
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