Abstract This thesis contains both external and internal flow. Four problems for the study of the Newtonian and the Micropolar fluids have been examined. For external flows, two flow problems are solved numerically for both fluids. The problems are entitled as follows: (a) Nonsteady stirring fluid flow pas rotating a circular cylinder, (b) Non steady uniformly accelerated flow pas a rotating circular cylinder. Whereas for internal flows, the flow problems examined numerically are (c) steady flow through constricted rectangular channel (d) steady flow through constricted and obstructed rectangular channel. Both the problems are investigated for both fluids. These flow problems are examined by various numerical schemes and the results are compared with the using the special finitedifference method. One of the common and main objectives of this work is to observe the efficiency of the special finitedifference based methods for non steady, steady closed, and open flow of different fluids. Another major aim is to analyse the variation of surface forces, vortex dynamics flow simulation, and role of variation of fins in the heat transfer. The numerical results obtained are compared on different gird sizes as well as with the previous results where possible. The comparison is very favourable Chapter 1 introduces a brief historical background of computational Fluid Dynamics for Newtonian as well as for micropolar fluids. The numerical analysis and simulation for problem (a) for Newtonain and micropolar fluids are given in Chapters 2 and 3 respectively. Chapters 4 and 5 contain the formulation, numerical analysis for the problem given in(b) for Newtonian as well as micropolar fluids respectively. In chapters 6 and 7, the problem(c) is examined again for Newtonian and micropolar fluids respectively. The numerical flow simulation and heat transfer analysis for problem give in(d) are studied for Newtonian fluids only in Chapter 8, while Chapter 9 contains a summary and the overall conclusions of the investigation undertaken in this thesis.
