Page 8 - Bird R.B. Transport phenomena

Contents

Preface §2.4 Flow through an Annulus 53
§2.5 Flow of Two Adjacent Immiscible Fluids 56
Chapter 0 The Subject of Transport §2.6 Creeping Flow around a Sphere 58
Phenomena 1 Ex. 2.6-1 Determination of Viscosity from the
Terminal Velocity of a Falling Sphere 61
Questions for Discussion 61
Problems 62
Part I Momentum Transport
Chapter 3 The Equations of Change for
Chapter 1 Viscosity and the Mechanisms of Isothermal Systems 75
Momentum Transport 11
§3.1 The Equation of Continuity 77
§1.1 Newton's Law of Viscosity (Molecular Momentum Ex. 3.1-1 Normal Stresses at Solid Surfaces for
Transport) 11 Incompressible Newtonian Fluids 78
§3.2 The Equation of Motion 78
Ex. 1.1-1 Calculation of Momentum Flux 15
§1.2 Generalization of Newton's Law of Viscosity 16 §3.3 The Equation of Mechanical Energy 81
§1.3 Pressure and Temperature Dependence of §3.4° The Equation of Angular Momentum 82
Viscosity 21 §3.5 The Equations of Change in Terms of the
Substantial Derivative 83
Ex. 13-1 Estimation of Viscosity from Critical
Properties 23 Ex. 3.5-1 The Bernoulli Equation for the Steady
§1.4° Molecular Theory of the Viscosity of Gases at Low Flow of Inviscid Flu ids 86
Density 23 §3.6 Use of the Equations of Change to Solve Flow
Problems 86
Ex. 1.4-1 Computation of the Viscosity of a Gas
Mixture at Low Density 28 Ex. 3.6-1 Steady Flow in a Long Circular
Ex. 1.4-2 Prediction of the Viscosity of a Gas Tube 88
Mixture at Low Density 28 Ex. 3.6-2 Falling Film with Variable
§1.5° Molecular Theory of the Viscosity of Liquids 29 Viscosity 89
Ex. 1.5-1 Estimation of the Viscosity of a Pure Ex. 3.6-3 Operation of a Couette Viscometer 89
Liquid 31 Ex. 3.6-4 Shape of the Surface of a Rotating
§1.6° Viscosity of Suspensions and Emulsions 31 Liquid 93
§1.7 Convective Momentum Transport 34 Ex. 3.6-5 Flow near a Slowly Rotating
Questions for Discussion 37 Sphere 95
Problems 37 §3.7 Dimensional Analysis of the Equations of
Change 97
Ex. 3.7-1 Transverse Flow around a Circular
Chapter 2 Shell Momentum Balances and Velocity
Cylinder 98
Distributions in Laminar Flow 40
Ex. 3.7-2 Steady Flow in an Agitated Tank 101
§2.1 Shell Momentum Balances and Boundary Ex. 3.7-3 Pressure Drop for Creeping Flow in a
Conditions 41 Packed Tube 103
§2.2 Flow of a Falling Film 42 Questions for Discussion 104
Ex. 2.2-1 Calculation of Film Velocity 47 Problems 104
Ex. 2.2-2 Falling Film with Variable
Viscosity 47 Chapter 4 Velocity Distributions with More than
§2.3 Flow Through a Circular Tube 48
One Independent Variable 114
Ex. 2.3-1 Determination of Viscosity from Capillary
Flow Data 52 §4.1 Time-Dependent Flow of Newtonian Fluids 114
Ex. 2.3-2 Compressible Flow in a Horizontal Ex. 4.1-1 Flow near a Wall Suddenly Set in
Circular Tube 53 Motion 115