Page 9 - Bird R.B. Transport phenomena

vi Contents

Ex. 4.1-2 Unsteady Laminar Flow between Two Ex. 6.2-2 Flow Rate for a Given Pressure
Parallel Plates 117 Drop 183
Ex. 4.1-3 Unsteady Laminar Flow near an §6.3 Friction Factors for Flow around Spheres 185
Oscillating Plate 120 Ex. 6.3-1 Determination of the Diameter of a Falling
§4.2° Solving Flow Problems Using a Stream Sphere 187
Function 121 §6.4° Friction Factors for Packed Columns 188
Ex. 4.2-1 Creeping Flow around a Sphere 122 Questions for Discussion 192
§4.3° Flow of Inviscid Fluids by Use of the Velocity Problems 193
Potential 126
Ex. 43-1 Potential Flow around a Cylinder 128 Chapter 7 Macroscopic Balances for
Ex. 4.3-2 Flow into a Rectangular Channel 130 Isothermal Flow Systems 197
Ex. 4.3-3 Flow near a Corner 131
§4.4° Flow near Solid Surfaces by Boundary-Layer §7.1 The Macroscopic Mass Balance 198
Theory 133 Ex. 7.1-1 Draining of a Spherical Tank 199
Ex. 4.4-1 Laminar Flow along a Flat Plate §7.2 The Macroscopic Momentum Balance 200
(Approximate Solution) 136 Ex. 7.2-1 Force Exerted by a Jet (Part a) 201
Ex. 4.4-2 Laminar Flow along a Flat Plate (Exact §7.3 The Macroscopic Angular Momentum
Solution) 137 Balance 202
Ex. 4.4-3 Flow near a Corner 139 Ex. 7.3-1 Torque on a Mixing Vessel 202
Questions for Discussion 140 §7.4 The Macroscopic Mechanical Energy
Problems 141 Balance 203
Ex. 7.4-1 Force Exerted by a Jet (Part b) 205
Chapter 5 Velocity Distributions in §7.5 Estimation of the Viscous Loss 205
Turbulent Flow 152 Ex. 7.5-1 Power Requirement for Pipeline
Flow 207
§5.1 Comparisons of Laminar and Turbulent §7.6 Use of the Macroscopic Balances for Steady-State
Flows 154 Problems 209
§5.2 Time-Smoothed Equations of Change for Ex. 7.6-1 Pressure Rise and Friction Loss in a
Incompressible Fluids 156 Sudden Enlargement 209
§5.3 The Time-Smoothed Velocity Profile near a Ex. 7.6-2 Performance of a Liquid-Liquid
Wall 159 Ejector 210
§5.4 Empirical Expressions for the Turbulent Ex. 7.6-3 Thrust on a Pipe Bend 212
Momentum Flux 162 Ex. 7.6-4 The Impinging Jet 214
Ex. 5.4-1 Development of the Reynolds Stress Ex. 7.6-5 Isothermal Flow of a Liquid through an
Expression in the Vicinity of the Wall 164 Orifice 215
§5.5 Turbulent Flow in Ducts 165 §7.7° Use of the Macroscopic Balances for Unsteady-
Ex. 5.5-1 Estimation of the Average Velocity in a State Problems 216
Circular Tube 166 Ex. 7.7.1 Acceleration Effects in Unsteady Flow
Ex. 5.5-2 Application ofPrandtl's Mixing Length from a Cylindrical Tank 217
Formula to Turbulent Flow in a Circular Ex. 7.7-2 Manometer Oscillations 219
Tube 167 §7.8 • Derivation of the Macroscopic Mechanical Energy
Ex. 5.5-3 Relative Magnitude of Viscosity and Eddy Balance 221
Viscosity 167 Questions for Discussion 223
§5.6° Turbulent Flow in Jets 168 Problems 224
Ex. 5.6-1 Time-Smoothed Velocity Distribution in a
Circular Wall Jet 168 Chapter 8 Polymeric Liquids 231
Questions for Discussion 172
Problems 172 §8.1 Examples of the Behavior of Polymeric
Liquids 232
Chapter 6 Interphase Transport in §8.2 Rheometry and Material Functions 236
§8.3 Non-Newtonian Viscosity and the Generalized
Isothermal Systems 177
Newtonian Models 240
§6.1 Definition of Friction Factors 178 Ex. 8.3-1 Laminar Flow of an Incompressible
§6.2 Friction Factors for Flow in Tubes 179 Power-Law Fluid in a Circular Tube 242
Ex. 6.2-1 Pressure Drop Required for a Given Flow Ex. 8.3-2 Flow of a Power-Law Fluid in a Narrow
Rate 183 Slit 243