The objective of the course of Advanced Fluid Mechanics should bring graduate students on further improving their physical understanding from a consistent viewpoint of many aspects of fluid mechanics and make them better grasp analytic methods as well as mathematical techniques employed in the subject, so that the graduate students, via the conceptual models and respective mathematical tools, properly analyze and solve kinds of corresponding problems encountered in their scientific researches and engineering practices in future. The lectures would introduce systematically the students to brilliant achievements and latest developments in some areas of fluid mechanics, and familiarize them with basic physical concepts, ideas and important applications in these fields. This course tends to illustrate fundamentals of fluid mechanics and meanwhile presents the students theoretical methods and analytical procedures in detail to cater for the students’ requirement.The course composed of 6 chapters. The first chapter reviews the fundamental nature and physical assumptions in fluid mechanics, the physical properties of fluids, the kinematics of a flow field, and the dynamical equations in general form. In middle four chapters the lectures are concentrated on the fluid assumed to be incompressible and to have uniform density and viscosity. The purpose of these five chapters is to show how to deal with the problems of the inviscid and viscous flows based on certain idealizations and assumptions about the nature of the fluid or the flow. The chapters include the classical analytical aspects of the subject and its modern developments. This portion is no doubt regarded as the center of the course of lectures so far as the foundation and importance of it are concerned. The last chapter is about compressible fluid.The course faces to such graduate students in the fields as mechanical engineering, power and energy engineering, chemical engineering, hydraulics, civil engineering, environmental engineering, ocean engineering and naval architecture.
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