Title
Heat Transfer Analysis of MHD Nanofluids over Stretching/Shrinking Surfaces with Thermal Radiation
Abstract
In this thesis, it has been planned to study the fluid flow and heat transfer analysis of nanofluid over a stretching/shrinking sheet in the presence of different forces, e.g. surface and body forces. The considered nanofluid consist of three types of nanoparticles that are copper, alumina and magnetite, while water and engine oil are used as a base fluid. The flow is provoked due to the stretching/shrinking characteristics of the sheet. During the analysis, the flow is considered to be steady, incompressible, two dimensional, linear and viscous (Newtonian) fluid. The momentum analysis is executed under the influence of numerous body forces such as: normal and inclined magnetic field, stagnation point flow and porous media. Further, the energy analysis is carried out in the presence of Joule heating and thermal radiation phenomena. Moreover, the second law analysis of thermodynamics is also performed in order to compute the entropy generation due to the exchange of heat and momentum. Mathematical modeling is performed to convert the physical system into a set of partial differential equations which are further simplified as a system of nonlinear ordinary differential equations by using suitable similarity variables. The exact solutions are acquired from the transformed non-dimensional momentum and energy equations. The impact of various physical parameters on the velocity profile, temperature profile, local Nusselt number, skin friction coefficient and entropy generation profile are investigated via numeric tables and graphs. Further, flow behavior of the nanofluid is also portrayed via streamlines pattern for many emerging parameters. It is found that the velocity profile of nanofluid decreases with increasing values of solid volume fraction of nanoparticles in copper water and shows opposite behavior for aluminum oxide water, magnetite-engine oil and in shrinking case. It is figured out that the temperature profile increases for accelerating values of solid volume fraction of nanoparticles, Hartmann number, angle and velocity slip parameter in case of copper-water, aluminum oxide-water and magnetite-engine oil. The platelets nanoparticles have highest thermal conductivity and cylinders have least in case of magnetite engine oil. It is noticed that the local Nusselt number is decreased by an increment in radiation parameter in case of stretching sheet