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.
- Establishes a strong mathematical foundation for fluid mechanics
- Broad coverage of topics allows for a flexible one- or two-semester course sequence
- Nurtures student confidence in understanding of fluid mechanics
- Emphasizes the unity between topics through the presentation of their mathematical foundation
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Reviews & endorsements
'An excellent first-level graduate textbook on fundamentals of fluid mechanics. By starting the book from the very basic vector notation, Professor Powers has made the book accessible to a large number of students who need to strengthen their mathematical background as well. This book will take the students all the way through rigorous understanding of hydrodynamic instabilities and turbulence. This is an excellent comprehensive book.' Bala Balachandar, University of Florida
'A rigorous mathematical treatise on the mechanics of fluids, in the spirit of Batchelor and Truesdell, something rarely seen today, and an exceptional counterpart to the many ad hoc books on this subject. For well-prepared students, this is a deeply technical introduction to this centrally important subject of physics and engineering.' Werner J. A. Dahm, Arizona State University
'A beautiful book on fluid mechanics: clear, insightful, comprehensive, rigorous, and detailed, with no stones unturned in derivations. This book will be a classic, one that I will often refer to when I need clarity and precision.' Tom Shih, Purdue University
'An enlightening 21st-century textbook in fluid mechanics which captures all the essence from the fundamentals of mechanics to the application of fluid dynamics. It comprehensively describes the intricate relationship between mathematics of statistical mechanics and physical observations of Newtonian fluids. This is a unique book which seamlessly relates 20th-century analytical mathematics-based fluid dynamics to 21st-century physics- and CFD-based fluid dynamics. I strongly recommend this book for an advanced undergraduate, or an introductory graduate-level, fluid dynamics course.' Chelakara S. Subramanian, Florida Institute of Technology
'This book achieves a rare combination of accessibility and mathematical rigor. It can provide a point of entry into contemporary fluid dynamics for the beginning graduate student while revealing fresh aspects of the subject to the seasoned researcher. I look forward to teaching from it.' William Eric Uspal, University of Hawaiʻi at Mānoa
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Product details
- Date Published: June 2023
- format: Hardback
- isbn: 9781316515693
- length: 731 pages
- dimensions: 262 x 211 x 43 mm
- weight: 1.71kg
- availability: Available
Table of Contents
Preface
Part I. Continuum Equations of Fluid Mechanics:
1. Introduction
2. Geometry
3. Kinematics
4. Evolution axioms
5. Constitutive equations
6. Governing equations: summary and special cases
Part II. Solutions in Various Flow Regimes:
7. Vortical flow
8. Potential flow
9. One-dimensional compressible flow
10. One-dimensional viscous flow
11. Multi-dimensional viscous flow
12. Linearly unstable flow
13. Nonlinear dynamics for fluid flow
14. Turbulent flow
Bibliography
Index.
Look Inside
Author
Joseph M. Powers, University of Notre Dame, Indiana
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).