Elementary Fluid Mechanics (Paperback)

Tsutomu Kambe

  • 出版商: World Scientific Pub
  • 出版日期: 2007-09-01
  • 售價: $1,050
  • 貴賓價: 9.8$1,029
  • 語言: 英文
  • 頁數: 402
  • 裝訂: Paperback
  • ISBN: 9812565973
  • ISBN-13: 9789812565976
  • 相關分類: 流體力學 Fluid-mechanics
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商品描述

Description

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.

 
Table of Contents
  • Flows
  • Fluids
  • Fundamental Equations of Ideal Fluids
  • Viscous Fluids
  • Flows of Ideal Fluids
  • Water Waves and Sound Waves
  • Vortex Motions
  • Geophysical Flows
  • Instability and Chaos
  • Turbulence
  • Superfluid and Quantized Circulation
  • Gauge Theory of Ideal Fluid Flows
  • Appendices:
  • Vector Analysis
  • Velocity Potential, Stream Function
  • Ideal Fluid and Ideal Gas
  • Curvilinear Reference Frames: Differential Operators
  • First Three Structure Functions
  • Lagrangians

商品描述(中文翻譯)

描述

這本教科書從現代物理的角度出發,描述了物理學、數學和工程學中流體力學初學者所需了解的流體流動的基本物理方面。它強調流體運動的動力學方面,而不是靜態方面,並且講解了渦流運動、波浪、地球物理流動、混沌和紊流。從流動的本質和流體的性質的基本概念開始,本書介紹了質量、動量和能量的基本守恆方程,以及無黏和黏性流體的運動方程。

除了基礎知識外,本書還涵蓋了水波和聲波、渦流運動、地球物理流動、非線性不穩定性、混沌和紊流。此外,還包括超流體和流體流動的規範理論的章節。

本書的內容源於2003年和2004年在中國天津南開數學研究所為理論物理學本科和研究生學生舉辦的《基礎流體力學》密集課程的講義。因此,每一章都可以單獨作為一節講義呈現。

目錄

- 流動
- 流體
- 理想流體的基本方程
- 黏性流體
- 理想流體的流動
- 水波和聲波
- 渦流運動
- 地球物理流動
- 不穩定性和混沌
- 紊流
- 超流體和量子循環
- 理想流體流動的規範理論
- 附錄:
- 向量分析
- 速度勢、流函數
- 理想流體和理想氣體
- 曲線參考框架: 微分運算符