Abstract:
Bödewadt and von Kármán ows are of paramount importance in uid dynamics of rotating sys
tems such as turbomachinery and geophysical ows. Moreover, nano uid's enhanced heat transfer
properties can improve cooling e ciency in applications involving turbines and electronic systems.
The focus of this thesis is twofold. Firstly, to investigate the Bödewadt boundary layer ow of
a Reiner-Rivlin uid containing nanoparticles over a stationary porous disk under slip conditions.
Secondly, it deals with von Kármán ow of Je rey nano uid over a rotating permeable disk with
partial-slip conditions. Understanding the behavior of non-Newtonian uids under slip conditions
is essential for various practical applications, including polymer processing, biomedical engineering
and geological uid dynamics. The two-phase Buongiorno model is employed in both the stud
ies, incorporating temperature-dependent di usion coe cients for enhanced accuracy which leads to
non-linear Robin-type condition. To facilitate numerical simulations, the transport equations are
converted into an ordinary di erential system comprising four unknowns. In the present work, a
highly reliable Keller-Box methodology is adopted which agrees very well with the MATLAB built
in program bvp4c. The computed 2-D and 3-D streamlines vividly capture the ow scenario with
non-Newtonian nano uid. The principal aim is investigating the impact of non-Newtonian behavior
and slip on the ow pattern, while also examining the behavior of temperature/concentration eld
for nanoparticle working uids. Furthermore, we develop linear and quadratic regression models
designed to precisely predict both the surface drag and disk cooling rate of the skin friction coe
cients and Nusselt number from the numerical simulations, e ectively illustrating the contributions
of Brownian di usion and thermophoresis to the proposed model. Present ndings reveal that the
slip condition contributes to boost the surface cooling rate, which holds signi cant implications for
engineering applications. Least Absolute Shrinkage and Selection Operator (LASSO) is employed to
validate the computational results of skin friction coe cients and Nusselt number.
