Uddin, Mohammed Jashim
(2013)
Boundary Layer Solutions For Convective
Flow Via Various Group Transformation
Methods.
PhD thesis, Universiti Sains Malaysia.
Abstract
In this thesis, two-dimensional laminar convective external boundary layer flow
with heat/mass transfer under various physical configurations and in the presence
of magnetic field, chemical reaction, radiation, viscous dissipation, heat source or
sink, dispersion, melting, thermophoresis, Brownian motion and Joule heating have
been investigated. Velocity slip or no slip boundary conditions, the thermal convective
or thermal slip boundary conditions have been taken into consideration.
The fluid is assumed to be Newtonian (regular and nano), viscous, incompressible,
hydrodynamic or magnetohydrodynamic and has constant or variable physical properties.
Both steady and unsteady boundary layers have been taken into account.
A thorough presentation of the applications of various transformation group (one
parameter and two parameters) to the problem of boundary layer equations is given.
New as as well as existing group invariant transformations are developed to transform
the transport equations to similarity equations. The similarity equations have
been solved numerically by the Runge-Kutta-Fehlberg fourth-fifth order numerical
method for various values of the controlling parameters. Graphs have been plotted
to exhibit the effects of the controlling parameters on the dimensionless velocity,
temperature, concentration (nanoparticles volume fraction) profiles as well as on
the the skin friction factor, rate of heat transfer and rate of mass transfer. The
numerical data for the skin friction factor, rate of heat and rate of mass transfer
have been provided in tables for various values of the governing parameters. The
flow field and other quantities of physical interest were significantly influenced by
the controlling parameters. Good agreement was found between the results reported
in this thesis and published results from the open literature.
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