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Tables of Contents for Viscous Flow
Chapter/Section Title
Page #
Page Count
Invocation
xiii
Preface
xv
Acknowledgments
xxi
PART I ONE-DIMENSIONAL LAMINAR FLOWS
1
130
Identification of Geometries and Dimensionless Variables
3
14
Flows that Produce One-Dimensional Velocity Fields
3
2
Dimensional Considerations
5
7
Dimensionless Groups Determining One-Dimensionality
12
2
Alternative Dimensionless Groups
14
1
Summary
15
1
Problems
15
1
References
16
1
Momentum Transfer, Viscosity, and Shear Stress
17
20
Momentum Transfer by Molecular Diffusion
17
3
Non-Newtonian Fluids
20
8
Applications
28
1
Summary
28
1
Problems
28
6
References
34
3
Newtonian Flow between Parallel Plates
37
14
Single-Phase Flow
37
6
Concurrent, Stratified, Horizontal Flow of Two Immiscible Fluids
43
5
Summary
48
1
Problems
49
1
References
50
1
Newtonian Flow in Round Tubes and Circular Annuli
51
22
Single-Phase Flow in Round Tubes
51
4
Concurrent Annular Two-Phase Flow in a Round Tube
55
3
Flow through a Circular Annulus
58
11
Summary
69
1
Problems
69
2
References
71
2
Non-Newtonian Flow through Channels
73
18
Pseudoplastics and Dilatants
73
2
Bingham Plastics
75
2
General Viscous Fluids
77
3
The Metzner-Reed Model
80
4
Other Forced Flows
84
1
Summary
84
1
Problems
85
3
References
88
3
Thin Films and Other Open, Gravitational Flows
91
16
Newtonian Flow Down an Inclined Plane
92
8
Other Free Flows
100
2
Summary
102
1
Problems
102
2
References
104
3
Couette Flows
107
24
Planar Couette Flow of a Newtonian Fluid
107
2
Planar Couette Flow of Non-Newtonian Fluids
109
3
Longitudinal Annular Couette Flow
112
2
Planar Rotational Couette Flow
114
2
Annular Rotational Couette Flow
116
3
Couette Flow in a Gap of Varying Depth
119
3
Planar Couette-Poiseuille Flow
122
3
Summary
125
1
Problems
126
3
References
129
2
PART II THE GENERAL EQUATIONS OF MOTION
131
120
Derivation of the General Mass and Force-Momentum Balances
133
22
The Mass Balance
133
6
The Force-Momentum Balance
139
2
Molecular Transfer of Momentum for Newtonian Fluids
141
1
The Force-Momentum Balance for Newtonian Fluids
142
6
Integral Formulations
148
2
The Energy Balance
150
1
Summary
150
1
Problems
151
2
References
153
2
Modified Forms of the General Mass and Force-Momentum Balances
155
18
Special Formulations for General Conditions
155
7
Special Formulations for Creeping Flow
162
2
Special Formulations for Inviscid Flow
164
6
Summary
170
1
Problems
170
1
References
171
2
Exact, Closed-Form Solutions of the Equations of Motion
173
78
Introduction
173
3
Exact Solutions for General Flows
176
17
Exact Solutions for Creeping Flow
193
19
Exact Solutions for Inviscid Flow
212
31
Summary
243
1
Problems
243
5
References
248
3
PART III UNCONFINED, MULTIDIMENSIONAL, LAMINAR FLOWS
251
248
The Blasius Solution for Laminar Flow along a Flat Plate
255
16
Differential Boundary-Layer Model
255
1
Stream-Function Model
256
1
Reduction of Model
257
5
Derivation of Asymptotic Solutions
262
2
Derivation of a Correlating Equation
264
1
Alternative Methods of Solution
265
1
Summary
266
1
Problems
266
1
References
267
4
Integral Boundary-Layer Solution for Laminar Flow along a Flat Plate
271
8
Heuristic Derivation of the Model
271
2
Derivation from the Differential Model
273
1
Pohlhausen Method of Solution
273
4
Summary
277
1
Problems
277
1
References
278
1
Experimental Results and Extended Solutions for Laminar Flow along a Flat Plate
279
22
Slightly Inertial (Tomotika-Aoi) Flow along a Flat Plate
279
1
Sub-Boundary-Layer (Imai) Flow along a Flat Plate
280
1
Effect of Finite Length of Plate
281
1
Numerical Solutions for Flow along a Flat Plate
281
3
Experimental Results for the Flat Plate
284
3
Flow along a Porous Flat Plate with Suction or Blowing
287
6
Power-Law (Acrivos) Flows
293
2
Boundary-Layer Thickness
295
2
Summary
297
1
Problems
297
1
References
298
3
Laminar Flow over Wedges and Disks
301
16
Thin-Boundary-Layer Flow over a Wedge (Falkner-Skan Flow)
301
7
Thin-Boundary-Layer Flow Impinging on a Disk (Homann Flow)
308
3
Integral Boundary-Layer Method for a Wedge
311
2
Boundary-Layer Thicknesses
313
1
Summary
313
1
Problems
313
2
References
315
2
Laminar Flow over a Circular Cylinder
317
42
Inviscid Flow
321
3
Creeping Flow
324
1
Slightly Inertial (Lamb) Flow
324
1
Boundary-Layer Flow
325
5
Numerical Solutions
330
3
Comparison of Solutions with Experimental Measurements
333
17
Summary
350
1
Problems
351
4
References
355
4
Laminar Flow over a Solid Sphere
359
52
Inviscid Flow
365
2
Creeping (Stokes) Flow
367
1
Slightly Inertial (Oseen) Flow
368
2
Boundary-Layer Flow
370
6
Newton's Equation for Large ReD
376
1
Numerical Solutions
377
2
Comparison of Solutions with Experimental Measurements
379
13
Ejection and Suction
392
7
Moving Spheres
399
6
Summary
405
1
Problems
405
2
References
407
4
The Motion of Bubbles and Droplets
411
72
Qualitative Characteristics of Bubble Motion
411
4
Qualitative Characteristics of Droplet Motion in Gases and Liquids
415
1
Comparative Behavior of Bubbles, Droplets, and Solids
415
1
Dimensional Analysis
416
6
Theoretical Expressions for Spheres
422
3
Numerical Solutions for Spheres
425
5
Theoretical Solutions for Deformed Bubbles and Droplets
430
6
Comparison of Theoretical and Numerical Solutions for Bubbles
436
4
Comparison of Predicted and Measured Values for Bubbles and Droplets
440
28
Generalized Correlations for Bubbles and Droplets
468
7
Summary
475
1
Problems
475
4
References
479
4
Generalized Methods and Other Geometries
483
16
Other Geometries and Conditions
483
1
Generalized Methods
484
12
Summary
496
1
Problems
496
1
References
497
2
PART IV FLOW RELATIVE TO DISPERSED SOLIDS
499
84
Flow through Porous Media
501
38
Types of Porous Media
501
1
Quantitative Characterization of Porous Media
502
7
Models and Solutions for Creeping (Laminar) Flow
509
9
Completely Inertial Flow
518
1
Models and Solutions for the Complete Regime of Flow
519
12
Miscellaneous Effects
531
1
Summary
532
1
Problems
532
4
References
536
3
The Relative Motion of Fluids and Dispersed Solids
539
44
Single Particles
539
12
Batch Sedimentation
551
1
Fluidization of Solid Particles
551
13
Particulate Fluidization
564
7
Aggregative Fluidization
571
5
Summary
576
1
Problems
577
4
References
581
2
Appendix
583
2
Credits
585
3
Author Index
588
6
Subject Index
594