Brenner Laminar Flow and Convective Transport Processes

Scaling Principles and Asymptotic Analysis
1. Auflage 2013
ISBN: 978-1-4832-9222-9
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 760 Seiten, Web PDF

Laminar Flow and Convective Transport Processes: Scaling Principles and Asymptotic Analysis presents analytic methods for the solution of fluid mechanics and convective transport processes, all in the laminar flow regime. This book brings together the results of almost 30 years of research on the use of nondimensionalization, scaling principles, and asymptotic analysis into a comprehensive form suitable for presentation in a core graduate-level course on fluid mechanics and the convective transport of heat. A considerable amount of material on viscous-dominated flows is covered. A unique feature of this book is its emphasis on scaling principles and the use of asymptotic methods, both as a means of solution and as a basis for qualitative understanding of the correlations that exist between independent and dependent dimensionless parameters in transport processes. Laminar Flow and Convective Transport Processes is suitable for use as a textbook for graduate courses in fluid mechanics and transport phenomena and also as a reference for researchers in the field.

Autoren/Hrsg.

Brenner, Howard

Inhaltsverzeichnis

1;Front Cover;1
2;Laminar Flow and Convective Transport Processes: Scaling Principles and
Asymptotic Analysis;4
3;Copayright Page;7
4;Table of Contents;10
5;Dedication;8
6;Preface;14
7;Acknowledgments;18
8;CHAPTER 1. Introduction;22
8.1;A Brief Historical Perspective;22
8.2;Asymptotic Methods in Transport Processes;23
8.3;Organization of the Book;25
9;CHAPTER 2. Basic Principles;32
9.1;The Continuum Approximation;32
9.2;Conservation of Mass; The Continuity Equation;37
9.3;Conservation of Linear and Angular Momentum;44
9.4;Conservation of Energy;51
9.5;Constitutive Equations;56
9.6;Fluid Statics-Constitutive Equations for a Stationary Fluid;58
9.7;Constitutive Equations for a Flowing Fluid—General Considerations;66
9.8;Constitutive Equations for a Flowing Fluid—The Newtonian Fluid;70
9.9;Constitutive Equations for a Flowing Field—Non-Newtonian Fluids;72
9.10;The Equations of Motion for a Newtonian Fluid: The Navier-Stokes Equations;82
9.11;Boundary Conditions;84
10;CHAPTER 3. Unidirectional Flows;92
10.1;Simplification of the Navier-Stokes Equations for Unidirectional Flows;93
10.2;Steady Unidirectional Flows—Nondimensionalization and Characteristic Scales;95
10.3;Start-up Flow in a Circular Tube—Solution by Separation of Variables;104
10.4;The Rayleigh Problem—Solution by Similarity Transformation;112
10.5;Start-up of Simple Shear Flow;121
10.6;Pulsatile Flow in a Circular Tube;126
11;CHAPTER 4. Creeping Flows;140
11.1;Nondimensionalization and the Creeping Flow Equations;142
11.2;Some General Consequences of Linearity and the Creeping Flow Equations;146
11.3;Representation of Two-Dimensional and Axisymmetric Flows in Terms of the Streamfunction;165
11.4;Solutions via Eigenfunction Expansions for Two-Dimensional Creeping Flows;170
11.5;Eigenfunction Expansion for Axisymmetric Creeping Flows in Spherical Coordinates;181
11.6;Solutions via Superposition of Vector Harmonic Functions—General Three-Dimensional Problems;198
12;CHAPTER 5. Further Results in the Creeping Flow Limit;218
12.1;The Motions of Bubbles and Drops;218
12.2;Fundamental Solutions of the Creeping Flow Equations;250
12.3;Further Topics in Creeping Flow Theory;272
13;CHAPTER 6. Asymptotic Approximations for Unidirectional, One-Dimensional, and Nearly Unidirectional Flows;296
13.1;Pulsatile Flow in a Circular Tube Revisited—Asymptotic Solutions for High and Low Frequencies;297
13.2;Asymptotic Expansions—General Considerations;310
13.3;The Motion of a Fluid Through a Slightly Curved Tube;313
13.4;Bubble Growth in a Quiescent Fluid;323
14;CHAPTER 7. Thin Films, Lubrication, and Related Problems;366
14.1;The Eccentric Cylinder Problem;367
14.2;General Equations for Lubrication Problems;408
14.3;Applications of the General Equations of Lubrication Theory;417
14.4;Thin Films with Inertia;427
15;CHAPTER 8. Weak Convection Effects;470
15.1;Forced Convection Heat Transfer—General Considerations;471
15.2;Heat Transfer by Conduction (Pe . 0);475
15.3;Heat Transfer from a Solid Sphere in a Uniform Streaming Flow at Small, but Nonzero, Peclet Numbers;477
15.4;Heat Transfer from a Body of Arbitrary Shape in a Uniform Streaming Flow at Small, but Nonzero, Peclet Numbers;491
15.5;Heat Transfer from a Sphere in Simple Shear Flow at Low Peclet Numbers;498
15.6;Uniform Flow Past a Solid Sphere at Small, but Nonzero, Reynolds Numbers;509
16;CHAPTER 9. Strona Convection Effects in Heat and Mass Transfer at Low Reynolds Number;532
16.1;Heat Transfer from a Solid Sphere in Streaming Flow for Small Reynolds Number and Large Peclet Number;534
16.2;Generalization of the Correlation Between Nu and Pe to Solid Bodies of Nonspherical Shape in Uniform Streaming Flow;547
16.3;Boundary-Layer Analysis of Heat Transfer from a Solid Sphere in Generalized Shear Flows at Low Reynolds Number;553
16.4;Mass Transfer from a Bubble or Drop that Translates Through a Quiescent Fluid at Low Re and Large Pe;557
16.5;Heat Transfer at High Peclet Number across Regions of Closed-Streamline Flow;561
17;CHAPTER 10. Laminar Boundary-Layer Theory;578
17.1;Potential Flow Theory;579
17.2;The Boundary-Layer Equations;586
17.3;Streaming Flow Past a Horizontal Flat Plate—The Blasius Solution;596
17.4;Streaming Flow Past a Semi-Infinite Wedge—The Falkner-Skan Solution;603
17.5;Streaming Flow Past Cylindrical Bodies—Boundary-Layer Separation;610
17.6;An Approximate Method to Estimate Shear Stress in Boundary-Layer Flows;619
17.7;Streaming Flow Past Axisymmetric Bodies—A Generalization of the Blasius Series;624
17.8;The Boundary-Layer on a Spherical Bubble;630
18;CHAPTER 11. Thermal Boundary-Layer Theory at Large Reynolds Number;658
18.1;Governing Equations (Re » 1, Pe » 1, with Pr Arbitrary);659
18.2;Exact Solutions for Pr ~ 0(1);662
18.3;The Asymptotic Limit, Pr » 1;665
18.4;The Asymptotic Limit, Pr « 1;672
18.5;Discussion of the Asymptotic Results for Pr « 1 and Pr » 1;679
18.6;Approximate Results for Surface Temperature with Specified Heat Flux or Mixed Boundary Conditions;681
19;CHAPTER 12. Natural and Mixed Convection Flows;690
19.1;The Boussinesq Equations;691
19.2;Natural Convection Boundary-Layers at High Grasshof Numbers;694
19.3;The Laminar Plume Above a Line or Point Source of Heat;712
19.4;Combined Forced and Free Convection;721
19.5;Natural Convection in a Horizontal Fluid Layer Heated From Below—The Rayleigh-Benard Problem;739
20;Index;754