This book gives information about fluid flows in elastic tubes and inelastic tubes. Presence of peristalsis is also considered near the walls of the channel. Immiscible fluid flows in a channel is also concentrated with interesting results obtained over different physical parameters. This book contains totally seven chapters where basic concepts are discussed in the first chapter that helps the readers to better understand the rest of the chapters very easily. This book will be stepping stone for beginners in the field of fluid dynamics. The results obtained in this book will help readers to proceed further for higher achievements in their research.