Unsteady free convection on a horizontal circular cylinder in the presence of heat generation and radiation
The unsteady free convective flow about a horizontal circular cylinder in the presence of heat generation and radiation is considered in this thesis. The cylinder is fixed and immersed in a Newtonian fluid, while the temperature at the surface is either heated uniformly or oscillated harmonically ab...
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Format: | Thesis |
Language: | English English English |
Published: |
2014
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Subjects: | |
Online Access: | http://eprints.uthm.edu.my/1594/1/24p%20NAJAHULFAZLIAH%20ZAINUDDIN.pdf http://eprints.uthm.edu.my/1594/2/NAJAHULFAZLIAH%20ZAINUDDIN%20COPYRIGHT%20DECLARATION.pdf http://eprints.uthm.edu.my/1594/3/NAJAHULFAZLIAH%20ZAINUDDIN%20WATERMARK.pdf http://eprints.uthm.edu.my/1594/ |
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Summary: | The unsteady free convective flow about a horizontal circular cylinder in the
presence of heat generation and radiation is considered in this thesis. The cylinder is
fixed and immersed in a Newtonian fluid, while the temperature at the surface is either
heated uniformly or oscillated harmonically about the mean temperature, temperature
of the surrounding. In this study, the governing equations are first transformed
into a non-dimensional form by using appropriate non-dimensional variables. These
equations are then transformed into a system of nonlinear partial differential equations,
then were solved numerically by using two types of finite difference methods
namely explicit finite difference method and implicit finite difference scheme of
Crank Nicolson method. The solutions obtained by those two methods are used to
compare the accuracy between them with the previous studies. The presence of heat
generation significantly gives effect which increased the local skin-friction coefficient,
temperature and velocity distribution but the local rate of heat transfer decreases.
While, the presence of radiation increase the local rate of heat transfer, skin-friction
coefficient, the temperature and velocity distributions. On the other hand, as the Prandtl
number increases, the temperature and velocity distributions are decreases. This study
also presents the temperature patterns for the problems when the temperature of the
surface is heated and oscillated with respect to time. The comparison between the
presence of radiation, heat generation and both of radiation and heat generation on
temperature profiles against time are presented. It would be interesting when this study
extended by involving the effect of magnetic field on this study and solve the related
problems by using other numerical method. |
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