Ramli, Norshafira
(2018)
Stability Analysis Of
Magnetohydrodynamic Flow And Heat
Transfer Over A Moving Flat Plate In
Ferrofluids With Slip Effects.
PhD thesis, Universiti Sains Malaysia.
Abstract
A study of the stability analysis on the boundary layer flow has become a great
interest in the field of fluid dynamics. This analysis is essential because it helps to
identify which solution is stable if there exists non-unique solutions in the computation.
In this thesis, the stability analysis is applied on the problems of the steady,
two-dimensional, laminar, magnetohydrodynamic (MHD) flow and heat transfer over
a moving flat plate in ferrofluids with suction and slip boundary conditions. It aims attention
on the problem of forced and mixed convection immersed in an incompressible
fluid. The three problems considered are; (1) MHD forced convection flow over a moving
flat plate in ferrofluids with suction and second-order slip effects; (2) MHD mixed
convection flow over a moving flat plate in ferrofluids with suction and slip effects; and
(3) MHD mixed convection flow over a moving flat plate in ferrofluids with thermal
radiation, suction and second-order slip effects. In order to solve these problems, the
dimensional partial differential equations that governed the boundary layer flows are
first transformed into non-dimensional equations by using appropriate dimensionless
variables. These equations are then reconstructed into the form of nonlinear ordinary
differential equations by applying the similarity transformation. The resulting system
is solved numerically using the shooting method which is done with the aid of shootlib
function in Maple software. This method is associated with the Runge-Kutta fourth
order method together with Newton-Raphson as a correction scheme.
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