Magnetohydrodynamics boundary layer flow and heat transfer over a permeable stretching/shrinking sheet
A theoretical study that describes boundary layer flow and heat transfer, which is induced by a moving plate in a quiescent ambient fluid has been presented herein. In this study, five problems are discussed in details. First problem related to the fluid flow and heat transfer in the boundary lay...
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| Main Author: | |
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| Format: | Thesis |
| Language: | English |
| Published: |
2016
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| Subjects: | |
| Online Access: | http://psasir.upm.edu.my/id/eprint/69754/1/IPM%202016%202%20-%20IR.pdf |
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| Summary: | A theoretical study that describes boundary layer flow and heat transfer, which is
induced by a moving plate in a quiescent ambient fluid has been presented herein. In
this study, five problems are discussed in details. First problem related to the fluid
flow and heat transfer in the boundary layers on a nonlinearly stretching sheet with
a variable sheet temperature and suction, in the presence of magnetic field and nonuniform
heat source. The effects of magnetic parameter, suction parameter, the
temperature parameter, the space dependent heat source parameter and the
temperature dependent heat source parameter have been studied.
Magnetohydrodynamics (MHD) boundary layer flow and heat transfer of a viscous
fluid over an exponentially permeable stretching sheet is analysed in the second
problem, where the system is suppressed by thermal radiation. Velocity, thermal as
well as mass slips are considered at the boundary. The boundary layer flow and heat
transfer of a viscous fluid on an exponentially shrinking sheet is described in the third
problem. The shrinking sheet is permeable and the system is suppressed by an
exponential variation of magnetic field. The impacts of the magnetic parameter, the
suction parameter and the mixed convection parameter are considered in the third
problem. Fourth problem contains steady MHD mixed convection boundary layer
flow of a Casson fluid over an exponentially permeable shrinking sheet. The results
exhibit that the Casson fluid parameter, mixed convection parameter, magnetic
parameter and suction parameter would significantly affect the number of multiple
solutions obtained from numerical calculations. The final problem is about the
unsteady boundary layer flow of a viscous fluid past a permeable curved
stretching/shrinking surface in the presence of a uniform magnetic field. The effects
of magnetic parameter, dimensionless curvature, suction parameter, unsteadiness
parameter and mixed convection parameter are calculated numerically. For all the
tested problems, the governing nonlinear partial differential equations are converted
into ordinary differential equations by a similarity transformation. The converted
equations are then solved numerically using the shooting method in Maple
programming software. The results showed that the values of skin friction coefficient,
local Nusselt number, local Sherwood number and the profiles of velocity, temperature and concentration are changed by the governing parameters on the
system. Additionally, the existences of multiple solutions are contributed by the
applied numerical method (shooting) and the involvement of certain parameters in the
system. |
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