# Introduction to the Physics of Fluids and Solids

## 1st Edition

**Authors:**J. S. Trefil

**eBook ISBN:**9781483187396

**Imprint:**Pergamon

**Published Date:**1st January 1975

**Page Count:**318

## Description

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 atmosphere. An analysis of the general properties of solids is presented. A chapter of the volume is devoted to the applications of seismology. Another section of the book focuses on the flow of the blood and the urinary drop spectrometer.
The book will provide useful information to doctors, physicists, engineers, students and researchers.

## 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 Ear has a Fluid

E. Jacobi Ellipsoids

F. Rotation of the Galaxy

G. The Rings of Saturn

Summary

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

Problems

References

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 Atmosphere

A. 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

References

Chapter 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

C. Blood Flow in an Artery

D. The Urinary Drop Spectrometer

E. Stability of a Capillary Jet

Problems

References

Appendices

Introduction

A. Cartesian Tensor Notation

B. The Gravitational Potential Inside of a Uniform Ellipsoid

C. The Critical Frequency

D. Expansion in Orthogonal Polynomials

E. Solution of Ordinary Differential Equations

F. The Solution of Partial Differential Equations

## Details

- No. of pages:
- 318

- Language:
- English

- Copyright:
- © Pergamon 1975

- Published:
- 1st January 1975

- Imprint:
- Pergamon

- eBook ISBN:
- 9781483187396