Fluid mechanics
Fluid mechanics, the study of how fluids behave and interact under various forces and in various applied situations-whether in the liquid or gaseous state or both-is introduced and comprehensively covered in this widely adopted text. Fully revised and updated with the addition of a new chapter on bi...
Main Author: | |
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Other Authors: | |
Format: | eBook |
Language: | Inglés |
Published: |
Amsterdam ; Boston :
Academic Press
c2008.
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Edition: | 4th ed |
Subjects: | |
See on Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009634708106719 |
Table of Contents:
- Front Cover; Fluid Mechanics; Copyright Page; Dedication; About the Author; Table of Contents; Preface; Preface to Third Edition; Preface to Second Edition; Preface to First Edition; Author's Notes; Chapter 1. Introduction; 1. Fluid Mechanics; 2. Units of Measurement; 3. Solids, Liquids, and Gases; 4. Continuum Hypothesis; 5. Transport Phenomena; 6. Surface Tension; 7. Fluid Statics; 8. Classical Thermodynamics; 9. Perfect Gas; 10. Static Equilibrium of a Compressible Medium; Exercises; Literature Cited; Supplemental Reading; Chapter 2. Cartesian Tensors; 1. Scalars and Vectors
- 2. Rotation of Axes: Formal Definition of a Vector3. Multiplication of Matrices; 4. Second-Order Tensor; 5. Contraction and Multiplication; 6. Force on a Surface; 7. Kronecker Delta and Alternating Tensor; 8. Dot Product; 9. Cross Product; 10. Operator ?: Gradient, Divergence, and Curl; 11. Symmetric and Antisymmetric Tensors; 12. Eigenvalues and Eigenvectors of a Symmetric Tensor; 13. Gauss' Theorem; 14. Stokes' Theorem; 15. Comma Notation; 16. Boldface vs Indicial Notation; Exercises; Literature Cited; Supplemental Reading; Chapter 3. Kinematics; 1. Introduction
- 2. Lagrangian and Eulerian Specifications3. Eulerian and Lagrangian Descriptions: The Particle Derivative; 4. Streamline, Path Line, and Streak Line; 5. Reference Frame and Streamline Pattern; 6. Linear Strain Rate; 7. Shear Strain Rate; 8. Vorticity and Circulation; 9. Relative Motion near a Point: Principal Axes; 10. Kinematic Considerations of Parallel Shear Flows; 11. Kinematic Considerations of Vortex Flows; 12. One-, Two-, and Three-Dimensional Flows; 13. The Streamfunction; 14. Polar Coordinates; Exercises; Supplemental Reading; Chapter 4. Conservation Laws; 1. Introduction
- 2. Time Derivatives of Volume Integrals3. Conservation of Mass; 4. Streamfunctions: Revisited and Generalized; 5. Origin of Forces in Fluid; 6. Stress at a Point; 7. Conservation of Momentum; 8. Momentum Principle for a Fixed Volume; 9. Angular Momentum Principle for a Fixed Volume; 10. Constitutive Equation for Newtonian Fluid; 11. Navier-Stokes Equation; 12. Rotating Frame; 13. Mechanical Energy Equation; 14. First Law of Thermodynamics: Thermal Energy Equation; 15. Second Law of Thermodynamics: Entropy Production; 16. Bernoulli Equation; 17. Applications of Bernoulli's Equation
- 18. Boussinesq Approximation19. Boundary Conditions; Exercises; Literature Cited; Supplemental Reading; Chapter 5. Vorticity Dynamics; 1. Introduction; 2. Vortex Lines and Vortex Tubes; 3. Role of Viscosity in Rotational and Irrotational Vortices; 4. Kelvin's Circulation Theorem; 5. Vorticity Equation in a Nonrotating Frame; 6. Velocity Induced by a Vortex Filament: Law of Biot and Savart; 7. Vorticity Equation in a Rotating Frame; 8. Interaction of Vortices; 9. Vortex Sheet; Exercises; Literature Cited; Supplemental Reading; Chapter 6. Irrotational Flow
- 1. Relevance of Irrotational Flow Theory