Analytical Fluid Dynamics

The author has formulated curved shock theory with vector notation. This is a new and useful approach that has led to new results and insights and independent verification of the complex algebraic results of earlier tensor methods, the theory is surrounded by careful and thorough treatment of assumptions and limitations. Problems at the end of the chapter are well-chosen to promote a deeper understanding. This is a must-read for anyone searching for an appreciation of curved shock wave theory. -Sannu Moelder, Ryerson University, Toronto, Ontario, Canada In the modern era where computational techniques dominate, it is refreshing to see a book that returns to the fundamentals in depth and breadth. Emanuel's book is a solid treatment of basic fluid physics. It provides elegant and yet easy-to-follow mathematical treatments of a wide range of topics that are important in contemporary applications. One of the useful aspects of the work is its clear elucidation of the flow physics that is firmly grounded in the mathematics. Such revelations are difficult if not impossible to come by from numerical analysis. Thus, another value of this book is to provide checks to computational results. -Frank K. Lu, University of Texas at Arlington Analytical Fluid Dynamics, 3rd Ed. is a must-have reference useful for a variety of advanced undergraduate and graduate courses in fluid dynamics, and more specialized courses in aerodynamics. The scope and in-depth coverage of topics is unique in contemporary fluid mechanics literature. With increasing emphasis on computational methods in research and industrial applications, the greatest value of Analytical Fluid Dynamics for those communities is twofold: 1) mathematically elegant analyses that expand physical insight into basic concepts and the development of advanced fluid-flow theory, and 2) analytical solutions of complex flow phenomena that can be used to verify CFD methods and codes. Examples include chapters devoted to sweep, the substitution principle, calorically imperfect flows, and supersonic diffusers that can be found nowhere else. Particularly relevant for high-speed aerodynamics and CFD are chapters presenting a general approach to shock waves and related phenomena that include their structure, vorticity generation, and downstream flow derivatives. A chapter on thermodynamics discusses the use of a potential function for CFD that is consistent with the modelling of real gas flows that produce rarefaction shock waves. Additional chapters are devoted to one-dimensional flows, a force and momentum analysis, and first-and-second-order boundary-layer theory. In keeping with the analytical approach, appendices cover vector and tensor analysis, Jacobian theory (useful for transforming thermodynamic derivatives and transforming fluid dynamic equations), and characteristic theory for the solution of first-order PDEs. Illustrative examples are included throughout that show stepwise development of theory and application to relevant problems. -Brian Argrow, Department Aerospace Engineering Sciences, University of Colorado Boulder