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 Technische wetenschappen Technische wetenschappen algemeen
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• Provides a focused foundation for the principles of transport with illustrations from a wide range of topics.
• This book surpasses all other fundamental transport texts in its development of requisite math skills. The author develops analytical and numerical tools to aid problem solving in every topic area of the text.

Taal / Language : English

Inhoudsopgave:

Chapter 1 Thermodynamic Preliminaries 1

1.1 The First and Second Laws of

Thermodynamics 1

1.2 Fundamental Equations 2

1.3 Ideal Gas 7

1.4 Constant Density Solid or Liquid 8

1.5 Properties of Mixtures 9

1.6 Summary of Thermodynamic Results 9

Problems 10

Chapter 2 Fundamentals of Transport 12

2.1 Physics of Advection and Diffusion 12

2.3 Diffusion Fluxes 17

2.4 Reversible vs. Irreversible Transport 22

Problems 23

Chapter 3 Index Notation 25

3.1 Indices 25

3.2 Representation of Cartesian Differential

Equations 26

3.3 Special Operators 27

3.4 Operators in Non-Cartesian Coordinates 31

Problems 34

Chapter 4 Transport by Advection and Diffusion 36

4.1 Continuity Equation 37

4.2 Transport of Species 39

4.2.1 Transport in a Binary Mixture 40

4.3 Transport of Heat 42

4.4 Transport of Momentum 43

4.5 Summary of Transport Equations without Sources 44

4.6 Conservation Statements from a Finite Volume 44

4.7 Eulerian and Lagrangian Coordinates and the Substantial Derivative 46

Problems 48

Chapter 5 Transport with Source Terms 50

5.1 Continuity Equation 51

5.2 Species Equation 51

5.3 Heat Equation (without Viscous Heating) 52

5.4 Momentum Equation 54

5.5 Kinetic Energy Equation 55

5.6 Heat Equation (with Viscous Heating) 57

5.7 Entropy Generation in Irreversible Flows 58

5.8 Conservation Statements Derived from a Finite Volume 59

5.9 Leibniz’s Theorem 62

Problems 64

Chapter 6 Specification of Transport Problems 66

6.1 Classification of equations 66

6.2 Boundary Conditions 67

6.3 Elementary Linear Examples 69

6.4 Nonlinear Example 73

6.5 Scaling Estimates 75

Problems 78

Chapter 7 Transient One-Dimensional Diffusion 82

7.1 Separation of Time and Space Variables 83

7.2 Silicon Doping 89

7.3 Plane Wall With Heat Generation 93

7.4 Transient Groundwater Contamination 97

Problems 101

Chapter 8 Steady Two-Dimensional Diffusion 103

8.1 Separation of Two Spatial Variables 103

Boundaries 105

Boundaries 107

8.3.1 Bar Heat Treatment 108

8.4 Nonhomogeneous Condition in Governing

Equation 111

Problems 115

Chapter 9 Eigenfunction Expansion 119

9.1 Method of Eigenfunction Expansion 119

9.2 Non-Cartesian Coordinate Systems 127

9.3 Transport in Non-Cartesian Coordinates 130

Problems 139

Chapter 10 Similarity Solution 140

10.1 The Similarity Variable 140

10.2 Laser Heating of a Semi-infinite Solid 142

10.3 Transient Evaporation 146

10.4 Power Series Solution 148

10.5 Mass Transfer with Time-Dependent Boundary

Condition 152

Problems 157

Chapter 11 Superposition of Solutions 159

11.1 Superposition in Time 159

Set in Motion 162

11.2 Superposition in Space 164

Problems 169

Chapter 12 Diffusion-Driven Boundaries 172

12.1 Thermal Oxidation 172

12.2 Solidification of an Undercooled Liquid 174

12.3 Solidification of a Binary Alloy from an Undercooled Liquid 178

12.4 Melting of a Solid Initially at the Melting

Point 183

Problems 186

Chapter 13 Lubrication Theory 188

13.1 Lubrication Flows Governed by Diffusion 188

13.2 Scaling Arguments for Squeeze Flow 189

13.4 Coating Extrusion 194

13.5 Coating Extrusion on a Porous Surface 198

13.6 Reynolds Equation for Lubrication Theory 202

Problems 203

Chapter 14 Inviscid Flow 206

14.1 The Reynolds Number 207

14.2 Inviscid Momentum Equation 208

14.3 Ideal Plane Flow 209

14.4 Steady Potential Flow through a Box with

Staggered Inlet and Exit 210

14.5 Advection of Species through a Box with

Staggered Inlet and Exit 215

14.6 Spherical Bubble Dynamics 217

Tension 219

Problems 221

Chapter 15 Catalog of Ideal Plane Flows 224

15.1 Superposition of Simple Plane Flows 224

15.2 Potential Flow over an Aircraft Fuselage 225

15.3 Force on a Line Vortex in a Uniform Stream 227

15.4 Flow Circulation 229

15.5 Potential Flow over Wedges 231

Problems 233

Chapter 16 Complex Variable Methods 234

16.1 Brief Review of Complex Numbers 234

16.2 Complex Representation of Potential Flows 235

16.3 The Joukowski Transform 236

16.4 Joukowski Symmetric Airfoils 238

16.5 Joukowski Cambered Airfoils 240

16.6 Heat Transfer between Nonconcentric

Cylinders 242

16.7 Transport with Temporally Periodic

Conditions 244

Problems 246

Chapter 17 MacCormack Integration 249

17.1 Flux-Conservative Equations 249

17.2 MacCormack Integration 250

17.3 Transient Convection 255

17.4 Steady-State Solution of Coupled Equations 259

Problems 262

Chapter 18 Open Channel Flow 265

18.1 Analysis of Open Channel Flows 265

18.2 Simple Surface Waves 267

18.3 Depression and Elevation Waves 268

18.4 The Hydraulic Jump 269

18.5 Energy Conservation 271

18.6 Dam-Break Example 273

18.7 Tracer Transport in the Dam-Break Problem 280

Problems 280

Chapter 19 Open Channel Flow with Friction 284

19.1 The Saint-Venant Equations 284

19.2 The Friction Slope 286

19.3 Flow through a Sluice Gate 287

Problems 293

Chapter 20 Compressible Flow 296

20.1 General Equations of Momentum and Energy Transport 296

20.2 Reversible Flows 298

20.3 Sound Waves 299

20.4 Propagation of Expansion and Compression

Waves 300

20.5 Shock Wave (Normal to Flow) 302

20.6 Shock Tube Analytic Description 304

20.7 Shock Tube Numerical Description 307

20.8 Shock Tube Problem with Dissimilar Gases 312

Problems 313

Chapter 21 Quasi-One-Dimensional Compressible Flows 316

21.1 Quasi-One-Dimensional Flow Equations 316

21.2 Quasi-One-Dimensional Steady Flow Equations without Friction 319

21.3 Numerical Solution to Quasi-One-Dimensional Steady Flow 324

Example 328

Problems 332

Chapter 22 Two-Dimensional

Compressible Flows 335

22.1 Flow through a Diverging Nozzle 335

Problems 345

Chapter 23 Runge-Kutta Integration 347

23.1 Fourth Order Runge-Kutta Integration of First

Order Equations 347

23.2 Runge-Kutta Integration of Higher Order Equations 350

23.3 Numerical Integration of Bubble Dynamics 352

23.4 Numerical Integration with Shooting 355

Problems 359

Chapter 24 Boundary Layer Convection 362

24.1 Scanning Laser Heat Treatment 362

24.2 Convection to an Inviscid Flow 366

24.3 Species Transfer to a Vertically Conveyed Liquid Film 372

Problems 377

Chapter 25 Convection into Developing Laminar Flows 379

25.1 Boundary Layer Flow over a Flat Plate (Blasius Flow) 379

25.2 Species Transfer across the Boundary Layer 385

25.3 Heat Transfer across the Boundary Layer 389

25.4 A Correlation for Forced Heat Convection from a Flat Plate 393

25.5 Transport Analogies 394

25.6 Boundary Layers Developing on a Wedge (Falkner-Skan Flow) 396

25.7 Viscous Heating in the Boundary Layer 398

Problems 400

Chapter 26 Natural Convection 403

26.1 Buoyancy 403

26.2 Natural Convection from a Vertical plate 404

26.3 Scaling Natural Convection from a Vertical Plate 405

26.4 Exact Solution to Natural Convection Boundary Layer Equations 408

Problems 416

Chapter 27 Internal Flow 417

27.1 Entrance Region 417

27.2 Heat Transport in an Internal Flow 419

27.3 Entrance Region of Plug Flow between Plates of Constant Heat Flux 420

27.4 Plug Flow between Plates of Constant Temperature 422

27.5 Fully Developed Transport Profiles 424

27.6 Fully Developed Heat Transport in Plug Flow

between Plates of Constant Heat Flux 426

27.7 Fully Developed Species Transport in Plug Flow

Between Surfaces of Constant

Concentration 429

Problems 431

Chapter 28 Fully Developed Transport in Internal Flows 434

28.1 Momentum Transport in a Fully Developed

Flow 434

28.2 Heat Transport in a Fully Developed Flow 435

Boundaries 437

Problems 449

Chapter 29 Influence of Temperature-Dependent Properties 452

29.1 Temperature-Dependent Conductivity in a Solid 452

29.2 Temperature-Dependent Diffusivity in Internal Convection 456

29.3 Temperature-Dependent Gas Properties in Boundary Layer Flow 463

Problems 469

Chapter 30 Turbulence 472

30.1 The Transition to Turbulence 473

30.2 Reynolds Decomposition 475

30.3 Decomposition of the Continuity Equation 476

30.4 Decomposition of the Momentum Equation 477

30.5 The Mixing Length Model of Prandtl 478

30.6 Regions in a Wall Boundary Layer 480

30.7 Parameters of the Mixing Length Model 483

Problems 484

Chapter 31 Fully Developed Turbulent Flow 486

31.1 Turbulent Poiseuille Flow Between Smooth Parallel Plates 487

31.2 Turbulent Couette Flow between Smooth Parallel Plates 492

31.3 Turbulent Poiseuille Flow in a Smooth Wall

Pipe 495

31.4 Utility of the Hydraulic Diameter 497

31.5 Turbulent Poiseuille Flow in a Smooth Annular Pipe 497

31.6 Reichardt’s Formula for Turbulent Diffusivity 502

31.7 Poiseuille Flow with Blowing between

Walls 504

Problems 512

Chapter 32 Turbulent Heat and Species Transfer 515

32.1 Reynolds Decomposition of the Heat Equation 515

32.2 The Reynolds Analogy 516

32.3 Thermal Profile Near the Wall 518

32.4 Mixing Length Model for Heat Transfer 521

32.5 Mixing Length Model for Species Transfer 522

Problems 523

Chapter 33 Fully Developed Turbulent Transport in Developed Flows 524

33.1 Chemical Vapor Deposition in Turbulent Tube

Flow with Generation 524

33.2 Heat Transfer in a Fully Developed Internal

Turbulent Flow 529

33.3 Heat Transfer in a Turbulent Poiseuille Flow between Smooth Parallel Plates 530

33.4 Fully Developed Transport in a Turbulent Flow

of a Binary Mixture 539

Problems 551

Chapter 34 Turbulence over Rough Surfaces 553

34.1 Turbulence over a Fully Rough

Surface 554

34.2 Turbulent Heat and Species Transfer from a Fully

Rough Surface 555

34.3 Application of the Rough Surface Mixing

Length Model 557

34.4 Application of Reichardt’s Formula to Rough

Surfaces 561

Problems 571

Chapter 35 Turbulent Boundary Layer 573

35.1 Formulation of Transport in Turbulent Boundary

Layer 573

35.2 Formulation of Heat Transport in the Turbulent

Boundary Layer 584

Chapter 36 The K-Epsilon Model

of Turbulence 590

36.1 Turbulent Kinetic Energy Equation 590

36.2 Dissipation Equation for Turbulent Kinetic Energy 594

36.3 The Standard K-Epsilon Model 595

Problems 596

Chapter 37 The K-Epsilon Model Applied to Internal Flows 598

37.1 K-Epsilon Model for Poiseuille Flow between

Smooth Parallel Plates 598

37.2 Transition Point between Mixing Length and

K-Epsilon Models 600

37.3 Solving the K and E Equations 602

37.4 Solution of the Momentum Equation with the

K-Epsilon Model 606

37.5 Turbulent Diffusivity Approaching the Centerline

of the Flow 607

37.6 Turbulent Heat Transfer with Constant Temperature

Boundary 610

Problems 613

Appendix A 615

Index 621

Extra informatie:
Hardback
640 pagina's
Januari 2012
1293 gram
254 x 203 x 25 mm
John Wiley & Sons
 Winkelwagen
 Levertijd: 5 tot 11 werkdagen

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