Brenner Viscous Flows

The Practical Use of Theory
1. Auflage 2013
ISBN: 978-1-4832-8952-6
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 624 Seiten, Web PDF

Representing a unique approach to the study of fluid flows, Viscous Flows demonstrates the utility of theoretical concepts and solutions for interpreting and predicting fluid flow in practical applications. By critically comparing all relevant classes of theoretical solutions with experimental data and/or general numerical solutions, it focuses on the range of validity of theoretical expressions rather than on their intrinsic character. This book features extensive use of dimensional analysis on both models and variables, and extensive development of theoretically based correlating equations. The range of applicability of most theoretical solutions is shown to be quite limited; however, in combination they are demonstrated to be more reliable than purely empirical expressions, particularly in novel applications.

Autoren/Hrsg.

Brenner, Howard

Inhaltsverzeichnis

1;Front Cover;1
2;Viscous Flows: The Practical Use of Theory;4
3;Copyright Page;5
4;Table of Contents;8
5;Dedication;6
6;Invocation;14
7;Preface;16
8;Acknowledgments;22
9;PART I: ONE-DIMENSIONAL LAMINAR FLOWS;24
9.1;Chapter 1. Identification of Geometries and Dimensionless Variables;26
9.1.1;Flows that Produce One-Dimensional Velocity Fields;26
9.1.2;Dimensional Considerations;28
9.1.3;Dimensionless Groups Determining One-Dimensionality;35
9.1.4;Alternative Dimensionless Groups;37
9.1.5;Summary;38
9.1.6;Problems;38
9.1.7;References;39
9.2;Chapter 2. Momentum Transfer, Viscosity, and Shear Stress;40
9.2.1;Momentum Transfer by Molecular Diffusion;40
9.2.2;Non-Newtonian Fluids;43
9.2.3;Applications;51
9.2.4;Summary;51
9.2.5;Problems;51
9.2.6;References;57
9.3;Chapter 3. Newtonian Flow between Parallel Plates;60
9.3.1;Single-Phase Flow;60
9.3.2;Concurrent, Stratified, Horizontal Flow of Two Immiscible Fluids;66
9.3.3;Summary;71
9.3.4;Problems;72
9.3.5;References;73
9.4;Chapter 4. Newtonian Flow in Round Tubes and Circular Annuli;74
9.4.1;Single-Phase Flow in Round Tubes;74
9.4.2;Concurrent Annular Two-Phase Flow in a Round Tube;78
9.4.3;Flow through a Circular Annulus;81
9.4.4;Summary;92
9.4.5;Problems;92
9.4.6;References;94
9.5;Chapter 5. Non-Newtonian Flow through Channels;96
9.5.1;Pseudoplastics and Dilatants;96
9.5.2;Bingham Plastics;98
9.5.3;General Viscous Fluids;100
9.5.4;The Metzner-Reed Model;103
9.5.5;Other Forced Flows;107
9.5.6;Summary;107
9.5.7;Problems;108
9.5.8;References;111
9.6;Chapter 6. Thin Films and Other Open, Gravitational Flows;114
9.6.1;Newtonian Flow Down an Inclined Plane;115
9.6.2;Other Free Flows;123
9.6.3;Summary;125
9.6.4;Problems;125
9.6.5;References;127
9.7;Chapter 7. Couette Flows;130
9.7.1;Planar Couette Flow of a Newtonian Fluid;130
9.7.2;Planar Couette Flow of Non-Newtonian Fluids;132
9.7.3;Longitudinal Annular Couette Flow;135
9.7.4;Planar Rotational Couette Flow;137
9.7.5;Annular Rotational Couette Flow;139
9.7.6;Couette Flow in a Gap of Varying Depth;142
9.7.7;Planar Couette-Poiseuille Flow;145
9.7.8;Summary;148
9.7.9;Problems;149
9.7.10;References;152
10;PART II: THE GENERAL EQUATIONS OF MOTION;154
10.1;Chapter 8. Derivation of the General Mass and Force-Momentum Balances;156
10.1.1;The Mass Balance;156
10.1.2;The Force-Momentum Balance;162
10.1.3;Molecular Transfer of Momentum for Newtonian Fluids;164
10.1.4;The Force-Momentum Balance for Newtonian Fluids;165
10.1.5;Integral Formulations;171
10.1.6;The Energy Balance;173
10.1.7;Summary;173
10.1.8;Problems;174
10.1.9;References;176
10.2;Chapter 9. Modified Forms of the General Mass and Force-Momentum Balances;178
10.2.1;Special Formulations for General Conditions;178
10.2.2;Special Formulations for Creeping Flow;185
10.2.3;Special Formulations for Inviscid Flow;187
10.2.4;Summary;193
10.2.5;Problems;193
10.2.6;References;194
10.3;Chapter 10. Exact, Closed-Form Solutions of the Equations of Motion;196
10.3.1;Introduction;196
10.3.2;Exact Solutions for General Flows;199
10.3.3;Exact Solutions for Creeping Flow;216
10.3.4;Exact Solutions for Inviscid Flow;235
10.3.5;Summary;266
10.3.6;Problems;266
10.3.7;References;271
11;PART III: UNCONFINED, MULTIDIMENSIONAL, LAMINAR FLOWS;274
11.1;Chapter 11. The Blasius Solution for Laminar Flow along a Flat Plate;278
11.1.1;Differential Boundary-Layer Model;278
11.1.2;Stream-Function Model;279
11.1.3;Reduction of Model;280
11.1.4;Derivation of Asymptotic Solutions;285
11.1.5;Derivation of a Correlating Equation;287
11.1.6;Alternative Methods of Solution;288
11.1.7;Summary;289
11.1.8;Problems;289
11.1.9;References;290
11.2;Chapter 12. Integral Boundary-Layer Solution for Laminar Flow along a Flat Plate;294
11.2.1;Heuristic Derivation of the Model;294
11.2.2;Derivation from the Differential Model;296
11.2.3;Pohlhausen Method of Solution;296
11.2.4;Summary;300
11.2.5;Problems;300
11.2.6;References;301
11.3;Chapter 13. Experimental Results and Extended Solutions for Laminar Flow along a Flat Plate;302
11.3.1;Slightly Inertial (Tomotika–Aoi) Flow along a Flat Plate;302
11.3.2;Sub-Boundary-Layer (Imai) Flow along a Flat Plate;303
11.3.3;Effect of Finite Length of Plate;304
11.3.4;Numerical Solutions for Flow along a Flat Plate;304
11.3.5;Experimental Results for the Flat Plate;307
11.3.6;Flow along a Porous Flat Plate with Suction or Blowing;310
11.3.7;Power-Law (Acrivos) Flows;316
11.3.8;Boundary-Layer Thickness;318
11.3.9;Summary;319
11.3.10;Problems;319
11.3.11;References;321
11.4;Chapter 14. Laminar Flow over Wedges and Disks;324
11.4.1;Thin-Boundary-Layer Flow over a Wedge (Falkner–Skan Flow);324
11.4.2;Thin-Boundary-Layer Flow Impinging on a Disk (Homann Flow);331
11.4.3;Integral Boundary-Layer Method for a Wedge;334
11.4.4;Boundary-Layer Thicknesses;336
11.4.5;Summary;336
11.4.6;Problems;336
11.4.7;References;338
11.5;Chapter 15. Laminar Flow over a Circular Cylinder;340
11.5.1;Inviscid Flow;344
11.5.2;Creeping Flow;347
11.5.3;Slightly Inertial (Lamb) Flow;347
11.5.4;Boundary-Layer Flow;348
11.5.5;Numerical Solutions;353
11.5.6;Comparison of Solutions with Experimental Measurements;356
11.5.7;Summary;373
11.5.8;Problems;374
11.5.9;References;378
11.6;Chapter 16. Laminar Flow over a Solid Sphere;382
11.6.1;Inviscid Flow;382
11.6.2;Creeping (Stokes) Flow;390
11.6.3;Slightly Inertial (Oseen) Flow;391
11.6.4;Boundary-Layer Flow;393
11.6.5;Newton's Equation for Large ReD;399
11.6.6;Numerical Solutions;400
11.6.7;Comparison of Solutions with Experimental Measurements;402
11.6.8;Ejection and Suction;415
11.6.9;Moving Spheres;422
11.6.10;Summary;428
11.6.11;Problems;428
11.6.12;References;430
11.7;Chapter 17. The Motion of Bubbles and Droplets;434
11.7.1;Qualitative Characteristics of Bubble Motion;434
11.7.2;Qualitative Characteristics of Droplet Motion in Gases and Liquids;438
11.7.3;Comparative Behavior of Bubbles, Droplets, and Solids;438
11.7.4;Dimensional Analysis;439
11.7.5;Theoretical Expressions for Spheres;445
11.7.6;Numerical Solutions for Spheres;448
11.7.7;Theoretical Solutions for Deformed Bubbles and Droplets;453
11.7.8;Comparison of Theoretical and Numerical Solutions for Bubbles;459
11.7.9;Comparison of Predicted and Measured Values for Bubbles and Droplets;463
11.7.10;Generalized Correlations for Bubbles and Droplets;491
11.7.11;Summary;498
11.7.12;Problems;498
11.7.13;References;502
11.8;Chapter 18. Generalized Methods and Other Geometries;506
11.8.1;Other Geometries and Conditions;506
11.8.2;Generalized Methods;507
11.8.3;Summary;519
11.8.4;Problems;519
11.8.5;References;520
12;PART IV: FLOW RELATIVE TO DISPERSED SOLIDS;522
12.1;Chapter 19. Flow through Porous Media;524
12.1.1;Types of Porous Media;524
12.1.2;Quantitative Characterization of Porous Media;525
12.1.3;Models and Solutions for Creeping (Laminar) Flow;532
12.1.4;Completely Inertial Flow;541
12.1.5;Models and Solutions for the Complete Regime of Flow;542
12.1.6;Miscellaneous Effects;554
12.1.7;Summary;555
12.1.8;Problems;555
12.1.9;References;559
12.2;Chapter 20. The Relative Motion of Fluids and Dispersed Solids;562
12.2.1;Single Particles;562
12.2.2;Batch Sedimentation;574
12.2.3;Fluidization of Solid Particles;574
12.2.4;Particulate Fluidization;587
12.2.5;Aggregative Fluidization;594
12.2.6;Summary;599
12.2.7;Problems;600
12.2.8;References;604
13;Appendix;606
14;Credits;608
15;Author Index;611
16;Subject Index;617