Elementary fluid mechanics

By: Kambe, TsutomuMaterial type: TextTextLanguage: English Publication details: Singapore World Scientific 2022Description: xv, 386pISBN: 9781944659929 (PB)Subject(s): Vector analysis | Velocity potential | Modern physics | Physics
Contents:
1. Flows 2. Fluids 3. Fundamental Equations of Ideal Fluids 4. Viscous Fluids 5. Flows of Ideal Fluids 6. Water Waves and Sound Waves 7. Vortex Motions 8. Geophysical Flows 9. Instability and Chaos 10. Turbulence 11. Superfluid and Quantized Circulation 12. Gauge Theory of Ideal Fluid Flows
Summary: This textbook describes the fundamental “physical” aspects of fluid flows for beginners of fluid mechanics in physics, mathematics and engineering, from the point of view of modern physics. It also emphasizes the dynamical aspects of fluid motions rather than the static aspects, illustrating vortex motions, waves, geophysical flows, chaos and turbulence. Beginning with the fundamental concepts of the nature of flows and the properties of fluids, the book presents fundamental conservation equations of mass, momentum and energy, and the equations of motion for both inviscid and viscous fluids. In addition to the fundamentals, this book also covers water waves and sound waves, vortex motions, geophysical flows, nonlinear instability, chaos, and turbulence. Furthermore, it includes the chapters on superfluids and the gauge theory of fluid flows. The material in the book emerged from the lecture notes for an intensive course on Elementary Fluid Mechanics for both undergraduate and postgraduate students of theoretical physics given in 2003 and 2004 at the Nankai Institute of Mathematics (Tianjin) in China. Hence, each chapter may be presented separately as a single lecture.
Item type: BOOKS List(s) this item appears in: New Arrivals (01 April 2024)
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1. Flows
2. Fluids
3. Fundamental Equations of Ideal Fluids
4. Viscous Fluids
5. Flows of Ideal Fluids
6. Water Waves and Sound Waves
7. Vortex Motions
8. Geophysical Flows
9. Instability and Chaos
10. Turbulence
11. Superfluid and Quantized Circulation
12. Gauge Theory of Ideal Fluid Flows

This textbook describes the fundamental “physical” aspects of fluid flows for beginners of fluid mechanics in physics, mathematics and engineering, from the point of view of modern physics.

It also emphasizes the dynamical aspects of fluid motions rather than the static aspects, illustrating vortex motions, waves, geophysical flows, chaos and turbulence. Beginning with the fundamental concepts of the nature of flows and the properties of fluids, the book presents fundamental conservation equations of mass, momentum and energy, and the equations of motion for both inviscid and viscous fluids.

In addition to the fundamentals, this book also covers water waves and sound waves, vortex motions, geophysical flows, nonlinear instability, chaos, and turbulence. Furthermore, it includes the chapters on superfluids and the gauge theory of fluid flows.

The material in the book emerged from the lecture notes for an intensive course on Elementary Fluid Mechanics for both undergraduate and postgraduate students of theoretical physics given in 2003 and 2004 at the Nankai Institute of Mathematics (Tianjin) in China. Hence, each chapter may be presented separately as a single lecture.

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The Institute of Mathematical Sciences, Chennai, India

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