Fundamental Mechanics of Fluids, Third Edition,9780824708863

Fundamental Mechanics of Fluids, Third Edition

by ;
Edition: 3rd
ISBN13: 9780824708863
ISBN10: 0824708865
Format: Hardcover
Pub. Date: 2002-12-12
Publisher(s): CRC Press
List Price: $124.06

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Summary

Retaining the features that made previous editions perennial favorites, Fundamental Mechanics of Fluids, Third Edition illustrates foundational equations and strategies used to analyze fluid dynamics, mechanisms, and behavior, and offers solutions to fluid flow dilemmas encountered in common engineering applications. The book contains completely reworked line drawings, revised problems, and extended end-of-chapter questions for clarification and expansion of key concepts and includes appendices that summarize vectors, tensors, complex variables, and governing equations in common coordinate systems.

Table of Contents

Preface v
Part I. Governing Equations 1(68)
Basic Conservation Laws
3(37)
Statistical and Continuum Methods
Eulerian and Lagrangian Coordinates
Material Derivative
Control Volumes
Reynolds' Transport Theorem
Conservation of Mass
Conservation of Momentum
Conservation of Energy
Discussion of Conservation Equations
Rotation and Rate of Shear
Constitutive Equations
Viscosity Coefficients
Navier-Stokes Equations
Energy Equation
Governing Equations for Newtonian Fluids
Boundary Conditions
Flow Kinematics
40(15)
Flow Lines
Circulation and Vorticity
Stream Tubes and Vortex Tubes
Kinematics of Vortex Lines
Special Forms of the Governing Equations
55(14)
Kelvin's Theorem
Bernoulli Equation
Crocco's Equation
Vorticity Equation
Part II. Ideal-Fluid Flow 69(180)
Two-Dimensional Potential Flows
73(88)
Stream Function
Complex Potential and Complex Velocity
Uniform Flows
Source, Sink, and Vortex Flows
Flow in a Sector
Flow Around a Sharp Edge
Flow Due to a Doublet
Circular Cylinder Without Circulation
Circular Cylinder With Circulation
Blasius' Integral Laws
Force and Moment on a Circular Cylinder
Conformal Transformations
Joukowski Transformation
Flow Around Ellipses
Kutta Condition and the Flat-Plate Airfoil
Symmetrical Joukowski Airfoil
Circular-Arc Airfoil
Joukowski Airfoil
Schwarz-Christoffel Transformation
Source in a Channel
Flow Through an Aperture
Flow Past a Vertical Flat Plate
Three-Dimensional Potential Flows
161(40)
Velocity Potential
Stokes' Stream Function
Solution of the Potential Equation
Uniform Flow
Source and Sink
Flow Due to a Doublet
Flow Near a Blunt Nose
Flow Around a Sphere
Line-Distributed Source
Sphere in the Flow Field of a Source
Rankine Solids
D'Alembert's Paradox
Forces Induced by Singularities
Kinetic Energy of a Moving Fluid
Apparent Mass
Surface Waves
201(48)
The General Surface-Wave Problem
Small-Amplitude Plane Waves
Propagation of Surface Waves
Effect of Surface Tension
Shallow-Liquid Waves of Arbitrary Form
Complex Potential for Traveling Waves
Particle Paths for Traveling Waves
Standing Waves
Particle Paths for Standing Waves
Waves in Rectangular Vessels
Waves in Cylindrical Vessels
Propagation of Waves at an Interface
Part III. Viscous Flows of Incompressible Fluids 249(146)
Exact Solutions
253(35)
Couette Flow
Poiseuille Flow
Flow Between Rotating Cylinders
Stokes' First Problem
Stokes' Second Problem
Pulsating Flow Between Parallel Surfaces
Stagnation-Point Flow
Flow in Convergent and Divergent Channels
Flow Over a Porous Wall
Low-Reynolds-Number Solutions
288(25)
The Stokes Approximation
Uniform Flow
Doublet
Rotlet
Stokeslet
Rotating Sphere in a Fluid
Uniform Flow Past a Sphere
Uniform Flow Past a Circular Cylinder
The Oseen Approximation
Boundary Layers
313(50)
Boundary-Layer Thicknesses
The Boundary-Layer Equations
Blasius Solution
Falkner-Skan Solutions
Flow Over a Wedge
Stagnation-Point Flow
Flow in a Convergent Channel
Approximate Solution for a Flat Surface
General Momentum Integral
Karman-Pohlhausen Approximation
Boundary-Layer Separation
Stability of Boundary Layers
Buoyancy-Driven Flows
363(32)
The Boussinesq Approximation
Thermal Convection
Boundary-Layer Approximations
Vertical Isothermal Surface
Line Source of Heat
Point Source of Heat
Stability of Horizontal Layers
Part IV. Compressible Flow of Inviscid Fluids 395(100)
Shock Waves
399(31)
Propagation of Infinitesimal Disturbances
Propagation of Finite Disturbances
Rankine-Hugoniot Equations
Conditions for Normal Shock Waves
Normal Shock-Wave Equations
Oblique Shock Waves
One-Dimensional Flows
430(31)
Weak Waves
Weak Shock Tubes
Wall Reflection of Waves
Reflection and Refraction at an Interface
Piston Problem
Finite-Strength Shock Tubes
Nonadiabatic Flows
Isentropic-Flow Relations
Flow Through Nozzles
Multidimensional Flows
461(34)
Irrotational Motion
Janzen-Rayleigh Expansion
Small-Perturbation Theory
Pressure Coefficient
Flow Over a Wave-Shaped Wall
Prandtl-Glauert Rule for Subsonic Flow
Ackert's Theory for Supersonic Flows
Prandtl-Meyer Flow
Appendix A. Vector Analysis 495(5)
Appendix B. Tensors 500(5)
Appendix C. Governing Equations 505(5)
Appendix D. Complex Variables 510(6)
Appendix E. Thermodynamics 516(5)
Index 521

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