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Incompressible Fluid Dynamics is a textbook for graduate and advanced undergraduate students of engineering, applied mathematics, and geophysics
List of contents
- 1: Elementary Definitions, Some Simple Kinematics and the Dynamics of Ideal Fluids
- 2: Governing Equations and Flow Regimes for a Real Fluid
- 3: Some Elementary Solutions of the Navier-Stokes Equation
- 4: Flows with Negligible Inertia: Stokes Flow, Lubrication Theory and Thin Films
- 5: Laminar Flow at High Reynolds Number: Boundary Layers
- 6: Potential Flow Theory with Applications to Aerodynamics
- 7: Surface Gravity Waves in Deep and Shallow Water
- 8: Vortex Dynamics: Classical Theory and Illustrative Examples
- 9: Waves and Flow in a Stratified Fluid
- 10: Waves and Flow in a Rotating Fluid
- 11: Instability
- 12: The Transition to Turbulence and the Nature of Chaos
- 13: An Introduction to Turbulence and to Kolmogorov's Theory
- 14: Turbulent Shear Flows and Simple Closure Models
- 15: Appendices
About the author
P. A. Davidson,
Professor of Fluid Mechanics, Department of Engineering, University of Cambridge
Summary
Incompressible Fluid Dynamics is a textbook for graduate and advanced undergraduate students of engineering, applied mathematics, and geophysics
Additional text
Davidson provides a specialized text on fluid dynamics. The first six chapters are devoted to basic fluid mechanics topics covered in standard undergraduate textbooks, but Davidson approaches these with a level of rigor suitable to more advanced students and readers. Chapters 7-10 cover topics mostly related to geophysical flows such as waves, stratified flows, and rotating flows. The last four chapters are devoted to instability and turbulence. Overall, this is an excellent book on the topic. The text is carefully written and insightful and reads easily. A suitable number of figures support Davidson's explanation of particular concepts. A strong point of this work is Davidson's emphasis on physical insights. The text will be helpful to senior undergraduates, graduate students, and researchers in the general area of fluid dynamics, particularly those interested in geophysical applications.
