Providing a modern approach to classical fluid mechanics, this textbook presents an accessible and rigorous introduction to the field, with a strong emphasis on both mathematical exposition and physical problems. It includes a consistent treatment of a broad range of fluid mechanics topics, including governing equations, vorticity, potential flow, compressible flow, viscous flow, instability, and turbulence. It has enhanced coverage of geometry, coordinate transformations, kinematics, thermodynamics, heat transfer, and nonlinear dynamics. To round out student understanding, a robust emphasis on theoretical fundamentals and underlying mathematical details is provided, enabling students to gain confidence and develop a solid framework for further study. Included also are 180 end-of-chapter problems, with full solutions and sample course syllabi available for instructors. With sufficient coverage for a one- or two-semester sequence, this textbook provides an ideal flexible teaching pathway for graduate students in aerospace, mechanical, chemical, and civil engineering, and applied mathematics.
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Joseph M. Powers is a professor of Aerospace and Mechanical Engineering at the University of Notre Dame. His research uses computational science to elucidate the dynamics of high-speed reactive fluids as it applies to verification and validation of multiscale systems. He is the Editor-in-Chief of the Journal of Propulsion and Power and has previously published Mathematical Methods in Engineering (2015) and Combustion Thermodynamics and Dynamics (2016).
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