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Bennett, Ted

Transport by Advection and Diffusion

€ 362.95

  • 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

    2.2 Advection Fluxes 14

    2.3 Diffusion Fluxes 17

    2.4 Reversible vs. Irreversible Transport 22

    2.5 Looking Ahead 23

    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

    5.10 Looking Ahead 63

    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

    8.2 Nonhomogeneous Conditions on Nonadjoining

    Boundaries 105

    8.3 Nonhomogeneous Conditions on Adjoining

    Boundaries 107

    8.3.1 Bar Heat Treatment 108

    8.4 Nonhomogeneous Condition in Governing

    Equation 111

    8.5 Looking Ahead 115

    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 us
    Levertijd: 5 tot 11 werkdagen