Mechanics of Fluids

An accessible, rigorous introduction to fluid mechanics, with a robust emphasis on theoretical foundations and mathematical exposition.

Joseph M. Powers (Author)

9781316515693, Cambridge University Press

Hardback, published 29 June 2023

731 pages
26.2 x 21.1 x 4.3 cm, 1.71 kg

'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 Hawai?i at M?noa

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.

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.

Subject Areas: Mechanics of fluids [TGMF]