Description
Book SynopsisAn accessible and rigorous introduction to classical fluid mechanics, with a robust emphasis on theoretical foundations and mathematical exposition. Suitable for a one- or two-semester sequence, it provides a flexible teaching pathway for graduate students in aerospace, mechanical, chemical, and civil engineering, and applied mathematics.
Trade Review'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
Table of ContentsPreface; 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.
