The main objective of this book is to investigate some interesting problems of Newtonian, non-Newtonian, and Micropolar Fluids.Here, all the problems are based on different types of waves and vibrations in the framework of classical theory of Fluid Mechanics.The study of fluid flow is one of the most successful, interesting, and useful applications in Applied Mathematics. In fact, the theories and various problems of Fluid Mechanics are directly related to the development of Science, Technology, and Industry (Particularly in Petroleum and Gas Technology) in India and abroad.The author has also investigated some Hydromagnetic problems associated with conducting Newtonian and non-Newtonian fluids like Maxwell fluids, Oldroyd fluids, and Rivlin-Ericksen fluids. The work will be of valuable contribution from theoretical and practical standpoints of view and the results will be very much useful to the Applied Mathematicians, Theoretical Physicists, Geologists, Technologists, and research workers who are dealing with the same.The entire work of the Book has been divided into five chapters according to the nature of the problems.