July 28, 2021 Thesis Open Access

Mekonnen Negera

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    <dct:title>BOUNDARY LAYER FLOW ANALYSIS OF NON-NEWTONIAN NANOFLUID PAST STRETCHING/ SHRINKING SURFACE</dct:title>
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    <dct:description>&lt;p&gt;Supervisor: Wubshet Ibrahim (PhD, Associate Prof.)&lt;/p&gt; &lt;p&gt;This dissertation presents the boundary layer flow analysis of non-Newtonian nanofluid past stretching/shrinking surfaces. In this dissertation heat transfer and mass transfer of MHD flow of non-Newtonian nanofluids over different shaped bodies with different governing parameters considered. The governing partial differential equations with boundary conditions were transformed into set of high order ordinary differential equations using similarity transformations and were solved numerically using implicit finite difference methods known as Keller box methods and Runge-Kutta method with shooting technique with Matlab software 2013a. In this dissertation viscous dissipation, melting heat transfer, variable thermal radiation, chemical reaction, suction/injection, activation energy and MHD effects included in the analysis. Moreover, the effects of magnetic parameter, Prandtl number, Biot-number, Eckert number, Lewis number, Schmidt number, porosity parameter, temperature buoyancy parameter, concentration buoyancy parameter on velocity, temperature and concentration profile are presented graphically. The effects of suction/injection parameter, Deborah number, velocity slip parameter, unsteadiness parameter, Williamson parameter, curvature parameter, activation energy and porosity parameter on skin friction coefficient, Nusselt number and Sherwood number are tabulated and discussed. From the results it can be seen that when the magnetic field is intensified, it reduces velocity profiles, but it increases concentration and temperature profiles. Moreover, when Deborah number increased the velocity profile reduced whereas the temperature profile increased. The numerical solution also noticed that dimensionless melting parameter affects highly the velocity boundary layer of Williamson nanofluid when compared with upper-convected Maxwell nanofliud. Furthermore, with an increase in Williamson parameter the velocity profiles decreased whereas temperature and concentration profiles increased. Still further, from the result it can be seen that local Sherwood numbers and skin friction coefficient increased whereas local Nusselt reduced for the higher values of variable thermal conductivity parameter. Key words: Non-Newtonian Fluids, Nanofluid, slip effects, Newtonian heating, stagnation point flow, Melting heat transfer, activation energy, Keller box, Runge-Kutta.&lt;/p&gt;</dct:description>
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