Numerical study on natural convection in inclined enclosures with non-uniform boundary conditions / Cheong Huey Tyng
The understanding on the phenomena of fluid flow and heat transfer processes in enclo- sures is an important problem in many engineering and industrial applications. It has been a challenge to find an optimal heat transfer with numerous analyses and experiments. The geometry of the system, that i...
| Main Author: | |
|---|---|
| Format: | Thesis |
| Published: |
2013
|
| Subjects: | |
| Online Access: | http://studentsrepo.um.edu.my/6422/ http://studentsrepo.um.edu.my/6422/4/huey_tyng.pdf |
| Summary: | The understanding on the phenomena of fluid flow and heat transfer processes in enclo-
sures is an important problem in many engineering and industrial applications. It has been
a challenge to find an optimal heat transfer with numerous analyses and experiments. The
geometry of the system, that is, size and inclination angle of the enclosure and bound-
ary wall temperature can be the factors that provide the optimal heat transfer for various
engineering applications. Hence, the effect of enclosure inclination and aspect ratio will
be the subjects of the present study. A rectangular enclosure filled with fluid is consi-
dered. Sinusoidal variation of temperature is applied on the left wall while the opposite
wall is cooled with a constant temperature. The top and bottom walls of the enclosure are
adiabatic. The enclosure inclination is an inclination angle bounded between the bottom
wall and the horizontal plane. The gravity is acting in vertically downward direction. The
flow is considered to be two-dimensional, Newtonian, incompressible and laminar. The
fluid properties are constant and the Boussinesq approximation is valid for the density
variations. The governing equations and boundary conditions are derived based on the
physical model proposed. The governing system of partial differential equations are non-
dimensionalized using the suitable dimensionless variables. This approach reduces the
complexity in physical quantities for solving the system of partial differential equations.
The finite difference method is used to discretize the set of partial differential equations.
An appropriate numerical algorithm is developed to find the numerical solutions of heat
transfer and fluid flow in the enclosures. The numerical results are validated with previ-
ous studies. The results of the flow and temperature as well as the rate of heat transfer
in enclosures are presented graphically. The flow structures and temperature distributions
are affected by the enclosure inclination. The aspect ratio also affects the heat transfer in
the enclosure. |
|---|