dc.description.abstract | Non-Newtonian fluids exhibit behaviour deviating from Newton’s law. In Sisko fluid
flow, which is a non-Newtonian fluid, within pipes, the relationship between shear
stress magnitude and shear strain becomes linear as the shear stress limit is ex-
ceeded. Hence, it is essential to understand the velocity profile and heat transfer
occurring in Sisko fluid flow inside pipes. This thesis examines the velocity model
of fluid flow and heat transfer of non-Newtonian fluids flowing in pipes to under-
stand their velocity profile and heat transfer. Assumptions and problem constraints
are established, utilizing the laws of mass conservation, linear momentum equation,
pressure equation for moving fluids, and heat convection equation. The obtained mo-
del constitutes a system of ordinary differential equations (ODEs). This model is
numerically solved using finite difference method with central scheme and visualized
with Matlab 7.10. From the visualization of the relationship between cylinder radius
and fluid flow velocity depicted in graphical form, it is observed that the velocity of
Newtonian fluid is greater than Sisko fluid when n=1, and conversely for n = 0.
The temperature of Sisko fluid is always higher than Newtonian fluid. Hence, it can
be seen that the velocity and temperature profiles of Sisko fluid are influenced by the
applied pressure and material parameter b, besides heat distribution is also affected
by Brinkman number. | en_US |