Analytical Fluid Dynamics (3^rd Ed.)

New Edition Now Covers Shock-Wave Analysis

An in-depth presentation of analytical methods and physical foundations, Analytical Fluid Dynamics, Third Edition breaks down the "how" and "why" of fluid dynamics. While continuing to cover the most fundamental topics in fluid mechanics, this latest work emphasizes advanced analytical approaches to aid in the analytical process and corresponding physical interpretation. It also addresses the need for a more flexible mathematical language (utilizing vector and tensor analysis and transformation theory) to cover the growing complexity of fluid dynamics.

Revised and updated, the text centers on shock-wave structure, shock-wave derivatives, and shock-produced vorticity; supersonic diffusers; thrust and lift from an asymmetric nozzle; and outlines operator methods and laminar boundary-layer theory. In addition, the discussion introduces pertinent assumptions, reasons for studying a particular topic, background discussion, illustrative examples, and numerous end-of-chapter problems.

Utilizing a wide variety of topics on inviscid and viscous fluid dynamics, the author covers material that includes:

• Viscous dissipation
• The second law of thermodynamics
• Calorically imperfect gas flows
• Aerodynamic sweep
• Shock-wave interference
• Unsteady one-dimensional flow
• Internal ballistics
• Force and momentum balance
• The Substitution Principle
• Rarefaction shock waves
• A comprehensive treatment of flow property derivatives just downstream of an unsteady three-dimensional shock
• Shock-generated vorticity
• Triple points
• An extended version of the Navier?Stokes equations
• Shock-free supersonic diffusers
• Lift and thrust from an asymmetric nozzle

Analytical Fluid Dynamics, Third Edition outlines the basics of analytical fluid mechanics while emphasizing analytical approaches to fluid dynamics. Covering the material in-depth, this book provides an authoritative interpretation of formulations and procedures in analytical fluid dynamics, and offers analytical solutions to fluid dynamic problems.

Basic Concepts. Background Discussion. Conservation Equations. Classical Thermodynamics. Kinematics. Advanced Gas Dynamics. Euler Equations. Shock-Wave Dynamics. Vorticity and Its Substantial Derivative. Shock-Wave Triple-Point Morphology. Derivatives When the Upstream Flow Is Nonuniform. General Derivative Formulation. Extended Navier–Stokes Equations, Ultrasonic Absorption, and Shock Structure. Hodograph Transformation and Limit Lines. Substitution Principle. Calorically Imperfect Flows. Sweep. Interaction of an Expansion Wave with a Shock Wave and a Shock-Wave Curvature. Unsteady, One-Dimensional Flow. Supersonic Diffusers. Viscous/Inviscid Fluid Dynamics. Coordinate Systems and Related Topics. Force and Moment Analysis. Exact Solutions for a Viscous Flow. Rayleigh Flow. Couette Flow. Stagnation Point Flow. Laminar Boundary-Layer Theory for Steady Two-Dimensional or Axisymmetric Flow. Incompressible Flow over a Flat Plate. Large Reynolds Number Flow. Incompressible Boundary-Layer Theory. Compressible Boundary-Layer Theory. Supersonic Boundary-Layer Examples. Second-Order Boundary-Layer Theory. Problems. References. Appendices.

George Emanuel earned his PhD in aeronautical sciences from Stanford University, California. Subsequently, he was employed at the Aerospace Corp., TRW, and Los Alamos National Laboratory as a research engineer. He spent 19 years as a professor in the School of Aerospace and Mechanical Engineering at the University of Oklahoma. He is the author of numerous books that include Analytical Fluid Dynamics, Second Edition, Solution of Ordinary Differential Equations by Continuous Groups, and Shock Wave Dynamics (CRC Press). He is also the author of four chapters in three handbooks and the author or coauthor of more than 100 peer-reviewed articles.