Incompressible Fluid Dynamics

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P. A. Davidson (Professor of Fluid Mechanics, Professor of Fluid Mechanics, Department of Engineering, University of Cambridge)

Incompressible Fluid Dynamics

P. A. Davidson (Professor of Fluid Mechanics, Professor of Fluid Mechanics, Department of Engineering, University of Cambridge)

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English

Oxford University Press
15 April 2022

Applied mathematics; Mathematical physics; Flow, turbulence, rheology

Incompressible Fluid Dynamics is a textbook for graduate and advanced undergraduate students of engineering, applied mathematics, and geophysics. The text comprises topics that establish the broad conceptual framework of the subject, expose key phenomena, and play an important role in the myriad of applications that exist in both nature and technology. The first half of the book covers topics that include the inviscid equations of Euler and Bernoulli, the Navier-Stokes equation and some of its simpler exact solutions, laminar boundary layers and jets, potential flow theory with its various applications to aerodynamics, the theory of surface gravity waves, and flows with negligible inertia, such as suspensions, lubrication layers, and swimming micro-organisms. The second half is more specialised. Vortex dynamics, which is so essential to many natural phenomena in fluid mechanics, is developed in detail. This is followed by chapters on stratified fluids and flows subject to a strong background rotation, both topics being central to our understanding of atmospheric and oceanic flows. Fluid instabilities and the transition to turbulence are also covered, followed by two chapters on fully developed turbulence. The text is largely self-contained, and aims to combine mathematical precision with a breadth of engineering and geophysical applications. Throughout, physical insight is given priority over mathematical detail.

By: P. A. Davidson (Professor of Fluid Mechanics Professor of Fluid Mechanics Department of Engineering University of Cambridge)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 239mm, Width: 156mm, Spine: 20mm
Weight: 870g
ISBN: 9780198869122
ISBN 10: 0198869126
Pages: 528
Publication Date: 15 April 2022
Audience: College/higher education , Primary
Format: Paperback
Publisher's Status: Active

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

P. A. Davidson, Professor of Fluid Mechanics, Department of Engineering, University of Cambridge

Reviews for Incompressible Fluid Dynamics

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. * M. Alam, University of California, Berkeley, Professor of Mechanical Engineering *