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Full Description
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.
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.
