Incompressible Fluid Dynamics

Incompressible Fluid Dynamics is a textbook that covers topics such as inviscid equations, Navier-Stokes equation, laminar boundary layers, potential flow theory, surface gravity waves, and flows with negligible inertia. It also covers vortex dynamics, stratified fluids, flows subject to a strong background rotation, fluid instabilities, and fully developed turbulence. The text is designed for graduate and advanced undergraduate students of engineering, applied mathematics, and geophysics and aims to combine mathematical precision with a breadth of engineering and geophysical applications.

Format: Hardback
Length: 528 pages
Publication date: 28 October 2021
Publisher: Oxford University Press

Incompressible Fluid Dynamics is a comprehensive textbook designed for advanced undergraduate and graduate students studying engineering, applied mathematics, and geophysics. Spanning a wide range of topics, this text establishes a fundamental conceptual framework for the study of incompressible fluids, explores key phenomena, and plays a crucial role in numerous applications across both natural and technological domains.

The first half of the book delves into essential concepts and theories. It begins by covering the inviscid equations of Euler and Bernoulli, which form the basis for understanding fluid dynamics. The Navier-Stokes equation, a fundamental equation governing fluid motion, is then discussed, along with its simpler exact solutions. Laminar boundary layers and jets, which play a significant role in aerodynamics, are explored in depth. Potential flow theory, a powerful tool for analyzing fluid flows, is introduced, with applications ranging from aerodynamics to oceanography. The theory of surface gravity waves, which are responsible for various atmospheric phenomena, is also covered. Additionally, flows with negligible inertia, such as suspensions, lubrication layers, and swimming micro-organisms, are examined.

The second half of the book focuses on specialized topics. Vortex dynamics, a fundamental aspect of fluid mechanics, is developed in detail, providing insights into the formation and behavior of vortices in fluids. Chapters on stratified fluids and flows subject to strong background rotation are included, as these topics are crucial in understanding atmospheric and oceanic flows. Fluid instabilities and the transition to turbulence are explored, shedding light on the complex dynamics that govern fluid motion. Two chapters are dedicated to fully developed turbulence, a state of chaotic and unpredictable fluid motion.

Throughout the text, a balance is struck between mathematical precision and a broad range of engineering and geophysical applications. Physical insight is given priority over mathematical detail, ensuring that students gain a deep understanding of the underlying principles while also being able to apply them to real-world scenarios.

Incompressible Fluid Dynamics is an invaluable resource for students seeking to advance their knowledge in the field of fluid mechanics. With its comprehensive coverage of topics, practical examples, and emphasis on physical understanding, this textbook equips students with the skills and knowledge necessary to excel in their studies and pursue careers in engineering, applied mathematics, and geophysics.

Weight: 1014g
Dimension: 163 x 240 x 34 (mm)
ISBN-13: 9780198869092