Abstract:
Due to the lack of heat transfer rate of traditional fluids like water, ethylene, kerosene oil
and some others, scientists over the year have made efforts to improve the thermal
properties of these traditional fluids based on the idea of nanofluids. In this manuscript, we
have used different available models for thermal conductivity of nanofluids to analyze the
behavior of velocity and temperature profiles. The base fluid mostly considered is water,
while Copper (Cu) and the carbon nanotubes (CNT) have been utilized as the nanoparticles.
thermal conductivity have been employed in particular. The flows passing through nonparallel
walls, stretching sheet problems and the flow over a wedge have been keen areas
of focus in the manuscript. A novel analysis for the flow of nanofluids in
converging/diverging channels when the walls are stretching/shrinking has also been
included. Also, the squeezing flow of nanofluids in a channel with lower stretching wall
has also been studied. The influence of magnetic field on the flow and heat transfer of
nanofluids is also studied. In some of the problems, Brownian motion and thermophoresis
effects are also considered. The radiation effects have also been included in modeling the
problems using Buongiorno servations laws used to model the physical
problems have been used. Employing suitable similarity transformations, the equations that
govern the flow are transformed to a set of nonlinear ordinary differential equations. Some
analytical as well as numerical schemes have been used for the solution purpose. The
results thus obtained are compared with some of the existing ones, and the agreement
between the solutions is highlighted in the form of tables. Variations in velocity,
temperature and concentration profiles with respect to the parameters involved are
simulated graphically with the help of different mathematical software.