Fluid Mechanics

ISBN-10: 0521587972
ISBN-13: 9780521587976
Edition: 1997
List price: $99.99 Buy it from $21.40
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Description: The authors provide a thorough analysis, including a development of the Navier-Stokes equations, with explanations of the physical principles involved and worked examples for the student to attempt.

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Book details

List price: $99.99
Copyright year: 1997
Publisher: Cambridge University Press
Publication date: 1/13/1997
Binding: Paperback
Pages: 520
Size: 6.25" wide x 9.25" long x 1.25" tall
Weight: 1.430
Language: English

The authors provide a thorough analysis, including a development of the Navier-Stokes equations, with explanations of the physical principles involved and worked examples for the student to attempt.

Preface
Introduction
The Field of Fluid Mechanics
The Continuum
Local Properties in a Continuum
Body and Surface Forces
Stress at a Point
Definition of a Fluid
Units and Dimensions
Dimensional Homogeneity
Fluid Properties
Problems
Stress in a Fluid
The Momentum Equations
Index Notation
Moments on a Cube
Forces at a Point on a Plane
The Elementary Tetrahedron
Stress in a Fluid at Rest
Stress in a Moving Fluid
A Case where the Stress Is Not Constant
The Stress Tensor
Transformation of Coordinates--Vectors
Transformation of Coordinates--Tensors
Principal Directions
Identical Principal Stresses--Pascal's Law
References
Problems
Fluid Statics
The Equation of Hydrostatics
Manometers
Equation of Hydrostatics in Accelerating Frames of Reference
Forces Acting on Submerged Surfaces
Force on a Submerged Plane Surface
Forces on Submerged Surfaces--The General Case
Hydrostatic Stability
Problems
Fluids in Motion--Integral Analysis
Thermodynamic Systems and Control Volumes
Reynolds Transport Theorem
Control Volume Analysis of Conservation of Mass
Conservation of Mass under Steady State Conditions
The Momentum Theorem for a Control Volume
Other Forces on the Control Volume
Angular Momentum Theorem for a Control Volume
Correction Factor for Average Velocity in Momentum Theorem
Problems
Fluids in Motion--Differential Analysis
Differential Representation
Streamlines, Stream Sheets and Stream Tubes
The Material Derivative
Conservation of Mass--The Equation of Continuity
Newton's Second Law of Motion
Newton's Law of Viscosity
Analysis of Deformation
Newtonian Fluids
The Navier--Stokes Equations
The Euler Equations
Solutions for Two-dimensional Flows--The Stream Function
The Pressure in the Momentum Equations
Problems
Exact Solutions of the Navier-Stokes Equations
Flows between Parallel Plates
Time-independent Flows
Time-dependent Flow--The Rayleigh Problem
Steady Flow in a Round Tube
Flow in an Axisymmetric Annulus
Flow between Rotating Concentric Cylinders
References
Problems
Energy Equations
Bernoulli's Equation
Static, Dynamic and Total Pressures
Extension to Compressible Flows
Modifications of the Bernoulli Equation for Conduit Flow
Low Pressures Predicted by Bernoulli's Equation
References
Problems
Similitude and Order of Magnitude
Dimensionless Equations
Similitude
Hidden Characteristic Quantities
Order of Magnitude
Estimates fo the Characteristic Quantities
The Concept of Perturbations
Singular Perturbations
The Boundary Layer Equations
Buckingham's [pi] Theorem
References
Problems
Flows with Negligible Acceleration
Flow in Narrow Gaps
Reynolds Lubrication Theory
Creeping Flows
Two-dimensional Flows
Axisymmetric Flows
Stokes Flow around a Sphere
Stokes Flow around a Cylinder
References
Problems
High Reynolds Number Flows--Regions Far from Solid Boundaries
Negligible Shear--The Euler Equations
Irrotational Motion
Potential Flow
References
Problems
High Reynolds Number Flows--The Boundary Layer
Flow over a Flat Plate--The Blasius Solution
Von Karman--Pohlhausen Integral Method
The Two-dimensional Laminar Jet
References
Problems
Turbulent Flow
Reynolds Experiment
The Nature of Turbulence
The Equations of Motion in Turbulent Flow
Prandtl Mixing Length, Generalized Profiles
The Moody Diagram
Flow in Pipes
Flow through Pipe Fittings
Noncircular Pipes
Coefficient of Drag
Flow-induced Lift Forces
Flowrate Measurement
Turbulent Boundary Layers
Integral Solutions for Boundary Layers
References
Problems
Compressible Flow
Speed of Infinitesimal Disturbances--Sonic Speed
Propagation of Finite Disturbances
The Piston Analogy
Quasi-one-dimensional Flow, Stagnation Properties
Nozzle Flow
Mass Flux through the Nozzle
The Design and Performance of a Nozzle
Tables of One-dimensional Compressible Flow
Nonisentropic One-dimensional Flows
Pipe Flow with Friction
Frictionless Pipe Flow with Heat Transfer
Shock Wave Relations
Oblique Shocks and Prandtl--Mayer Expansion
Lift and Drag
References
Problems
Non-Newtonian Fluids
Flow of a Power-law Fluid in a Circular Tube
Flow of a Bingham Plastic Material between Parallel Plates
The Boundary Layer Equations for a Power-law Fluid
References
Problems
Appendixes
Index

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