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Introduction to the physics of fluids and solids
Problems; References; Chapter 3. The Idea of Stability; A. Introduction; B. Stability of the Maclaurin Ellipsoid; Summary; Problems; References; Chapter 4. Fluids in Motion; A. The Velocity Field; B. The Velocity Potential; C. Stability of Flow; Summary; Problems; References; Chapter 5. Waves in Fluids; A. Long Waves; B. Surface Waves in Fluids; C. Surface Tension and Capillary Waves; Summary; Problems; References; Chapter 6. The Theory of the Tides; A. The Tidal Forces; B. Tides at the Equator; C. The Equations of Motion with Rotation; D. Tides at the Surface of the Earth; Summary
Introduction to the Physics of Fluids and Solids presents a way to learn continuum mechanics without mastering any other systems. It discusses an introduction to the principles of fluid mechanics. Another focus of study is the fluids in astrophysics. Some of the topics covered in the book are the rotation of the galaxy, the concept of stability, the fluids in motion, and the waves in fluids, the theory of the tides, the vibrations of the earth, and nuclear fission. The viscosity in fluids is covered. The flow of viscous fluids is discussed. The text identifies the general circulation of the a.
Front Cover; Introduction to the Physics of Fluids and Solids; Copyright Page; Dedication; Table of Contents; Preface; Chapter 1. Introduction to the Principles of Fluid Mechanics; A. The Convective Derivation; B. The Euler Equation; C. The Equation of Continuity; D.A Simple Example: The Static Star; E. Energy Balance in a Fluid; Summary; Problems; References; Chapter 2. Fluids in Astrophysics; SOME APPLICATIONS TO ASTROPHYSICS; A. Equations of Motion; B. The Rotating Sphere; C. Ellipsoids; D. The Earth as a Fluid; E. Jacobi Ellipsoids; F. Rotation of the Galaxy; G. The Rings of Saturn
ProblemsReferences; Chapter 7. Oscillations of Fluid Spheres: Vibrations of the Earth and Nuclear Fission; A. Free Vibrations of the Earth; B. The Liquid Drop Model of the Nucleus; C. Nuclear Fission; Summary; Problems; References; Chapter 8. Viscosity in Fluids; A. The Idea of Viscosity; B. Viscous Flow Through a Pipe (Poisieulle Flow); C. Viscous Rebound-The Viscosity of the Earth; Summary; Problems; References; Chapter 9. The Flow of Viscous Fluids; A. The Reynolds Number; B. Boundary Layers; Summary; Problems; References
Chapter 10. Heat, Thermal Convection, and the Circulation of the AtmosphereA. The Heat Equation and the Bossinesq Approximation; B. Stability of a Fluid between Two Plates; C. Convection Cells; D. The General Circulation of the Atmosphere; Summary; Problems; References; Chapter 11. General Properties of Solids-Statics; A. Basic Equations; B. Hooke's Law and the Elastic Constants; C. Bending of Beams and Sheets; D. The Formation of Lacoliths; E. The Formation of Mountain Chains; F. Some Special Cases: Buckling and the Euler Theory of Struts; G. Fenno-Scandia Revisited; Summary; Problems
ReferencesChapter 12. General Properties of Solids-Dynamics; A. The Strain Tensor; B. The Stress Tensor; C. Equation of Motion for Solids; D. Body Waves in Elastic Media; E. Surface Waves in Solids; F. Waves in Surface Layers; Summary; Problems; References; Chapter 13. Applications of Seismology: Structure of the Earth and Underground Nuclear Explosions; A. Seismic Rays; B. Underground Nuclear Explosions; Summary; Problems; References; Chapter 14. Applications to Medicine: Flow of the Blood and the Urinary Drop Spectrometer; A. Introduction; B. Response of Elastic Arterial Walls to Pressure
Includes bibliographical references at the end of each chapters and index.