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Mechanics of Liquids and Gases
International Series of Monographs in Aeronautics and Astronautics: Division II: Aerodynamics
2nd Edition - January 1, 1966
Author: L. G. Loitsyanskii
Editors: R. T. Jones, W. P. Jones
Language: English
eBook ISBN:9781483184968
9 7 8 - 1 - 4 8 3 1 - 8 4 9 6 - 8
Mechanics of Liquids and Gases, Second Edition is a 10-chapter text that covers significant revisions concerning the dynamics of an ideal gas, a viscous liquid and a viscous gas.…Read more
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Mechanics of Liquids and Gases, Second Edition is a 10-chapter text that covers significant revisions concerning the dynamics of an ideal gas, a viscous liquid and a viscous gas. After an expanded introduction to the fundamental properties and methods of the mechanics of fluids, this edition goes on dealing with the kinetics and general questions of dynamics. The next chapters describe the one-dimensional pipe flow of a gas with friction, the elementary theory of the shock tube; Riemann's theory of the wave propagation of finite intensity, and the theory of plane subsonic and supersonic flows. Other chapters consider the elements of the theory of three-dimensional subsonic and supersonic flows past bodies; the fluctuating laminar flow in a uniform pipe of circular cross-section; the hydrodynamic theory of lubrication; the variational principle of Helmholtz; and the theory of plane and axisymmetric laminar jets. The remaining chapters look into the semi-empirical theories of turbulence and their application in the analysis of axisymmetric jets, with and without swirl, and in the calculation of the resistance of rough plates. These chapters also discuss the dynamics of a viscous gas and the elements of the theory of laminar and turbulent boundary layers at high speeds. This book will be of value to mechanical engineers, physicists, and researchers.
Foreword to the Second Edition
Introduction
1. The Mechanics of Fluids as a Subject. The Fundamental Properties of Liquid and Gaseous Media
2. The Basic Methods of the Mechanics of Fluids, the Fields of Application and the Principal Problems
3. A Brief Survey of the Development of the Mechanics of Fluids. From the Hydromechanics of the Ancients to the Newtonian Period
4. The Period of Euler and Bernoulli. Hydromechanics in the Nineteenth Century
5. The Development of the Mechanics of Fluids in the First Half of the Twentieth Century
Chapter 1 Kinematics of a Continuous Medium
6. Consideration of the Motion of a Continuous Medium. Velocity Field. Streamlines and Particle Paths. Stream Tubes and Particle Streams
7. The Velocity Field of a Continuous Medium in the Neighborhood of a Point. The First Theorem of Helmholtz
8. Vortex Lines and Tubes. Second Theorem of Helmholtz. Strength of the Vortex Tube and its Connection with the Circulation
9. Rate of Strain Tensor
10. The Acceleration of a Fluid Particle. Kelvin's Theorem
11. Some Points on Tensor Calculus
Chapter 2 General Equations and Theorems of Motion of a Continuous Medium
12. Distribution of Mass in a Continuous Medium. The Stress Tensor and Its Symmetry
13. The Continuity Equation. Momentum Equations
14. The Law of Conservation of Energy and the Energy Equation
15. Particular Applications of the General Theorems on the Dynamics of a System to a Continuous Medium
16. General Equations of Hydrostatic Equilibrium. Atmospheric Equilibrium. Approximate Barometric Formulae
17. Equilibrium of an Incompressible Fluid. Equilibrium of a Rotating Fluid
18. Pressure of a Heavy Incompressible Liquid on the Surface of a Body. Force and Moment Acting on the Body
Chapter 3 Fundamental Equations and Theorems of the Dynamics of an Ideal Liquid and Gas
19. An Ideal Fluid. Fundamental Equations of Motion
20. Bernoulli's Theorem
21. The Equation of Energy in the Adiabatic Motion of a Perfect Ideal Gas
22. The Velocity of Propagation of Small Disturbances in an Ideal Gas
23. The Subsonic and Supersonic Flow of a Gas. The Numbers M and λ. Isentropic Formulae
Chapter 4 One-Dimensional Flow of an Ideal Gas
24. One-dimensional Steady Motion of a Gas in a Tube of Varying Cross-section
25. The Flow of Gas through a Nozzle
26. An Example of Non-adiabatic Motion of a Gas
27. One-dimensional Flow of a Gas in a Tube with Frictional Resistance