Fluid Mechanics: Volume 4 Lectures on Theoretical Physics

Fluid Mechanics: Volume 4 Lectures on Theoretical Physics by David Tong, published by Cambridge University Press on June 19, 2025, is a comprehensive exploration of fluid mechanics, spanning 432 pages. This textbook begins with fundamental concepts of fluid flows and gradually introduces the Navier-Stokes equation, elucidating the physics behind its various components. The text emphasizes the universality of fluid mechanics, demonstrating its relevance across different substances and conditions.
Readers will find a thorough examination of advanced topics such as waves, fluid instabilities, and turbulence, culminating in a discussion of the atomic constituents of fluids. The book also delves into kinetic theory, including the Boltzmann equation, to illustrate how the collective motion of numerous atoms adheres to the principles of fluid mechanics. This edition serves as a valuable resource for those interested in the scientific and mathematical aspects of physics.
Official synopsis Publisher
Take anything in the universe, put it in a box, and heat it up. Regardless of what you start with, the motion of the substance will be described by the equations of fluid mechanics. This remarkable universality is the reason why fluid mechanics is important. The key equation of fluid mechanics is the Navier-Stokes equation. This textbook starts with the basics of fluid flows, building to the Navier-Stokes equation while explaining the physics behind the various terms and exploring the astonishingly rich landscape of solutions. The book then progresses to more advanced topics, including waves, fluid instabilities, and turbulence, before concluding by turning inwards and describing the atomic constituents of fluids. It introduces ideas of kinetic theory, including the Boltzmann equation, to explain why the collective motion of 1023 atoms is, under the right circumstances, always governed by the laws of fluid mechanics.
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