Abstract:
The purpose of this thesis is to present the numerical study of some boundary layer
flow and heat transfer problems related to the channel with stretching/shrinking walls,
orthogonally moving disks, stretching cylinder, vertical square duct, the stagnation
point flow and the pulsatile flow. The study includes the self-similar problems and
also the ones for which no similarity solution exists. For the problems of first type, a
similarity transformation is used to convert the governing Navier-Stokes equations
into a set of nonlinear third or fourth order ODEs. The ones of third order are solved
by using the order-reduction technique whereas the later are solved by employing
quasi-linearization or pseudo transient approach in which the time plays the role of an
iteration parameter until the convergence is reached. In case of second type problems,
we have used the three step explicit Runge-Kutta method for the numerical study of
the unsteady pulsatile flow of a biofluid in the channel, whereas the numerical
simulation in a vertical duct has been carried out by employing the Spectral method
and the finite difference method. We have studied the flow and thermal properties of
not only the Newtonian fluid but also the biofluid (blood), micropolar and Nano fluids
as well. The effects of the governing parameters on different aspects of the problems
are discussed through tables and figures.
