Transport by advection and diffusion : momentum, heat, and mass transfer

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Title:

Personal Author:

Bennett, Ted D., 1965-

Publication Information:

Hoboken, NJ : Wiley, 2013

Physical Description:

xx, 620 p. : ill. ; 26 cm.

ISBN:

9780470631485

Subject Term:

Transport theory

Diffusion processes

Available:*

Library	Item Barcode	Call Number	Material Type	Item Category 1	Status
Searching... PSZ JB	30000010325202	TP156.T7 B46 2013	Open Access Book	Book	Searching... Unknown

Bennett's Transport by Advection and Diffusion provides a focused foundation for the principles of transport at the senior or graduate level, with illustrations from a wide range of topics. The text uses an integrated approach to teaching transport phenomena, but widens coverage to include topics such as transport in compressible flows and in open channel flows. Transport by Advection and Diffusion helps students develop the requisite math skills as well as the conceptual understanding needed to succeed in research and education. It presents analytical and numerical tools to aid problem solving in each topic area.

The text is designed for senior or graduate level courses for chemical and mechanical engineering, environmental studies, earth science, materials science, and physics, but it will also appeal to practitioners.

Author Notes

Ted Bennett is Associate Professor of Mechanical and Environmental Engineering at the University of California - Santa Barbara. He received his PhD from UC Berkeley in 1996. He has taught the transport phenomena course for the last 9 years, and in 2000 was awarded the Distinguished Teaching Award.

Chapter 1 Thermodynamic Preliminaries	p. 1
1.1 The First and Second Laws of Thermodynamics	p. 1
1.2 Fundamental Equations	p. 2
1.3 Ideal Gas	p. 7
1.4 Constant Density Solid or Liquid	p. 8
1.5 Properties of Mixtures	p. 9
1.6 Summary of Thermodynamic Results	p. 9
Problems	p. 10
Chapter 2 Fundamentals of Transport	p. 12
2.1 Physics of Advection and Diffusion	p. 12
2.2 Advection Fluxes	p. 14
2.3 Diffusion Fluxes	p. 17
2.4 Reversible vs. Irreversible Transport	p. 22
2.5 Looking Ahead	p. 23
Problems	p. 23
Chapter 3 Index Notation	p. 25
3.1 Indices	p. 25
3.2 Representation of Cartesian Differential Equations	p. 26
3.3 Special Operators	p. 27
3.4 Operators in Non-Cartesian Coordinates	p. 31
Problems	p. 34
Chapter 4 Transport by Advection and Diffusion	p. 36
4.1 Continuity Equation	p. 37
4.2 Transport of Species	p. 39
4.2.1 Transport in a Binary Mixture	p. 40
4.3 Transport of Heat	p. 42
4.4 Transport of Momentum	p. 43
4.5 Summary of Transport Equations without Sources	p. 44
4.6 Conservation Statements from a Finite Volume	p. 44
4.7 Eulerian and Lagrangian Coordinates and the Substantial Derivative	p. 46
Problems	p. 48
Chapter 5 Transport with Source Terms	p. 50
5.1 Continuity Equation	p. 51
5.2 Species Equation	p. 51
5.3 Heat Equation (without Viscous Heating)	p. 52
5.4 Momentum Equation	p. 54
5.5 Kinetic Energy Equation	p. 55
5.6 Heat Equation (with Viscous Heating)	p. 57
5.7 Entropy Generation in Irreversible Flows	p. 58
5.8 Conservation Statements Derived from a Finite Volume	p. 59
5.9 Leibniz's Theorem	p. 62
5.10 Looking Ahead	p. 63
Problems	p. 64
Chapter 6 Specification of Transport Problems	p. 66
6.1 Classification of equations	p. 66
6.2 Boundary Conditions	p. 67
6.3 Elementary Linear Examples	p. 69
6.4 Nonlinear Example	p. 73
6.5 Scaling Estimates	p. 75
Problems	p. 78
Chapter 7 Transient One-Dimensional Diffusion	p. 82
7.1 Separation of Time and Space Variables	p. 83
7.2 Silicon Doping	p. 89
7.3 Plane Wall With Heat Generation	p. 93
7.4 Transient Groundwater Contamination	p. 97
Problems	p. 101
Chapter 8 Steady Two-Dimensional Diffusion	p. 103
8.1 Separation of Two Spatial Variables	p. 103
8.2 Nonhomogeneous Conditions on Nonadjoining Boundaries	p. 105
8.3 Nonhomogeneous Conditions on Adjoining Boundaries	p. 107
8.3.1 Bar Heat Treatment	p. 108
8.4 Nonhomogeneous Condition in Governing Equation	p. 111
8.5 Looking Ahead	p. 115
Problems	p. 115
Chapter 9 Eigenfunction Expansion	p. 119
9.1 Method of Eigenfunction Expansion	p. 119
9.2 Non-Cartesian Coordinate Systems	p. 127
9.3 Transport in Non-Cartesian Coordinates	p. 130
Problems	p. 139
Chapter 10 Similarity Solution	p. 140
10.1 The Similarity Variable	p. 140
10.2 Laser Heating of a Semi-infinite Solid	p. 142
10.3 Transient Evaporation	p. 146
10.4 Power Series Solution	p. 148
10.5 Mass Transfer with Time-Dependent Boundary Condition	p. 152
Problems	p. 157
Chapter 11 Superposition of Solutions	p. 159
11.1 Superposition in Time	p. 159
Set in Motion	p. 162
11.2 Superposition in Space	p. 164
Problems	p. 169
Chapter 12 Diffusion-Driven Boundaries	p. 172
12.1 Thermal Oxidation	p. 172
12.2 Solidification of an Undercooled Liquid	p. 174
12.3 Solidification of a Binary Alloy from an Undercooled Liquid	p. 178
12.4 Melting of a Solid Initially at the Melting Point	p. 183
Problems	p. 186
Chapter 13 Lubrication Theory	p. 188
13.1 Lubrication Flows Governed by Diffusion	p. 188
13.2 Scaling Arguments for Squeeze Flow	p. 189
13.4 Coating Extrusion	p. 194
13.5 Coating Extrusion on a Porous Surface	p. 198
13.6 Reynolds Equation for Lubrication Theory	p. 202
Problems	p. 203
Chapter 14 Inviscid Flow	p. 206
14.1 The Reynolds Number	p. 207
14.2 Inviscid Momentum Equation	p. 208
14.3 Ideal Plane Flow	p. 209
14.4 Steady Potential Flow through a Box with Staggered Inlet and Exit	p. 210
14.5 Advection of Species through a Box with Staggered Inlet and Exit	p. 215
14.6 Spherical Bubble Dynamics	p. 217
Tension	p. 219
Problems	p. 221
Chapter 15 Catalog of Ideal Plane Flows	p. 224
15.1 Superposition of Simple Plane Flows	p. 224
15.2 Potential Flow over an Aircraft Fuselage	p. 225
15.3 Force on a Line Vortex in a Uniform Stream	p. 227
15.4 Flow Circulation	p. 229
15.5 Potential Flow over Wedges	p. 231
Problems	p. 233
Chapter 16 Complex Variable Methods	p. 234
16.1 Brief Review of Complex Numbers	p. 234
16.2 Complex Representation of Potential Flows	p. 235
16.3 The Joukowski Transform	p. 236
16.4 Joukowski Symmetric Airfoils	p. 238
16.5 Joukowski Cambered Airfoils	p. 240
16.6 Heat Transfer between Nonconcentric Cylinders	p. 242
16.7 Transport with Temporally Periodic Conditions	p. 244
Problems	p. 246
Chapter 17 MacCormack Integration	p. 249
17.1 Flux-Conservative Equations	p. 249
17.2 MacCormack Integration	p. 250
17.3 Transient Convection	p. 255
17.4 Steady-State Solution of Coupled Equations	p. 259
Problems	p. 262
Chapter 18 Open Channel Flow	p. 265
18.1 Analysis of Open Channel Flows	p. 265
18.2 Simple Surface Waves	p. 267
18.3 Depression and Elevation Waves	p. 268
18.4 The Hydraulic Jump	p. 269
18.5 Energy Conservation	p. 271
18.6 Dam-Break Example	p. 273
18.7 Tracer Transport in the Dam-Break Problem	p. 280
Problems	p. 280
Chapter 19 Open Channel Flow with Friction	p. 284
19.1 The Saint-Venant Equations	p. 284
19.2 The Friction Slope	p. 286
19.3 Flow through a Sluice Gate	p. 287
Problems	p. 293
Chapter 20 Compressible Flow	p. 296
20.1 General Equations of Momentum and Energy Transport	p. 296
20.2 Reversible Flows	p. 298
20.3 Sound Waves	p. 299
20.4 Propagation of Expansion and Compression Waves	p. 300
20.5 Shock Wave (Normal to Flow)	p. 302
20.6 Shock Tube Analytic Description	p. 304
20.7 Shock Tube Numerical Description	p. 307
20.8 Shock Tube Problem with Dissimilar Gases	p. 312
Problems	p. 313
Chapter 21 Quasi-One-Dimensional Compressible Flows	p. 316
21.1 Quasi-One-Dimensional Flow Equations	p. 316
21.2 Quasi-One-Dimensional Steady Flow Equations without Friction	p. 319
21.3 Numerical Solution to Quasi-One-Dimensional Steady Flow	p. 324
Example	p. 328
Problems	p. 332
Chapter 22 Two-Dimensional Compressible Flows	p. 335
22.1 Flow through a Diverging Nozzle	p. 335
Problems	p. 345
Chapter 23 Runge-Kutta Integration	p. 347
23.1 Fourth Order Runge-Kutta Integration of First Order Equations	p. 347
23.2 Runge-Kutta Integration of Higher Order Equations	p. 350
23.3 Numerical Integration of Bubble Dynamics	p. 352
23.4 Numerical Integration with Shooting	p. 355
Problems	p. 359
Chapter 24 Boundary Layer Convection	p. 362
24.1 Scanning Laser Heat Treatment	p. 362
24.2 Convection to an Inviscid Flow	p. 366
24.3 Species Transfer to a Vertically Conveyed Liquid Film	p. 372
Problems	p. 377
Chapter 25 Convection into Developing Laminar Flows	p. 379
25.1 Boundary Layer Flow over a Flat Plate (Blasius Flow)	p. 379
25.2 Species Transfer across the Boundary Layer	p. 385
25.3 Heat Transfer across the Boundary Layer	p. 389
25.4 A Correlation for Forced Heat Convection from a Flat Plate	p. 393
25.5 Transport Analogies	p. 394
25.6 Boundary Layers Developing on a Wedge (Falkner-Skan Flow)	p. 396
25.7 Viscous Heating in the Boundary Layer	p. 398
Problems	p. 400
Chapter 26 Natural Convection	p. 403
26.1 Buoyancy	p. 403
26.2 Natural Convection from a Vertical plate	p. 404
26.3 Scaling Natural Convection from a Vertical Plate	p. 405
26.4 Exact Solution to Natural Convection Boundary Layer Equations	p. 408
Problems	p. 416
Chapter 27 Internal Flow	p. 417
27.1 Entrance Region	p. 417
27.2 Heat Transport in an Internal Flow	p. 419
27.3 Entrance Region of Plug Flow between Plates of Constant Heat Flux	p. 420
27.4 Plug Flow between Plates of Constant Temperature	p. 422
27.5 Fully Developed Transport Profiles	p. 424
27.6 Fully Developed Heat Transport in Plug Flow between Plates of Constant Heat Flux	p. 426
27.7 Fully Developed Species Transport in Plug Flow Between Surfaces of Constant Concentration	p. 429
Problems	p. 431
Chapter 28 Fully Developed Transport in Internal Flows	p. 434
28.1 Momentum Transport in a Fully Developed Flow	p. 434
28.2 Heat Transport in a Fully Developed Flow	p. 435
Boundaries	p. 437
Problems	p. 449
Chapter 29 Influence of Temperature-Dependent Properties	p. 452
29.1 Temperature-Dependent Conductivity in a Solid	p. 452
29.2 Temperature-Dependent Diffusivity in Internal Convection	p. 456
29.3 Temperature-Dependent Gas Properties in Boundary Layer Flow	p. 463
Problems	p. 469
Chapter 30 Turbulence	p. 472
30.1 The Transition to Turbulence	p. 473
30.2 Reynolds Decomposition	p. 475
30.3 Decomposition of the Continuity Equation	p. 476
30.4 Decomposition of the Momentum Equation	p. 477
30.5 The Mixing Length Model of Prandtl	p. 478
30.6 Regions in a Wall Boundary Layer	p. 480
30.7 Parameters of the Mixing Length Model	p. 483
Problems	p. 484
Chapter 31 Fully Developed Turbulent Flow	p. 486
31.1 Turbulent Poiseuille Flow Between Smooth Parallel Plates	p. 487
31.2 Turbulent Couette Flow between Smooth Parallel Plates	p. 492
31.3 Turbulent Poiseuille Flow in a Smooth Wall Pipe	p. 495
31.4 Utility of the Hydraulic Diameter	p. 497
31.5 Turbulent Poiseuille Flow in a Smooth Annular Pipe	p. 497
31.6 Reichardt's Formula for Turbulent Diffusivity	p. 502
31.7 Poiseuille Flow with Blowing between Walls	p. 504
Problems	p. 512
Chapter 32 Turbulent Heat and Species Transfer	p. 515
32.1 Reynolds Decomposition of the Heat Equation	p. 515
32.2 The Reynolds Analogy	p. 516
32.3 Thermal Profile Near the Wall	p. 518
32.4 Mixing Length Model for Heat Transfer	p. 521
32.5 Mixing Length Model for Species Transfer	p. 522
Problems	p. 523
Chapter 33 Fully Developed Turbulent Transport in Developed Flows	p. 524
33.1 Chemical Vapor Deposition in Turbulent Tube Flow with Generation	p. 524
33.2 Heat Transfer in a Fully Developed Internal Turbulent Flow	p. 529
33.3 Heat Transfer in a Turbulent Poiseuille Flow between Smooth Parallel Plates	p. 530
33.4 Fully Developed Transport in a Turbulent Flow of a Binary Mixture	p. 539
Problems	p. 551
Chapter 34 Turbulence over Rough Surfaces	p. 553
34.1 Turbulence over a Fully Rough Surface	p. 554
34.2 Turbulent Heat and Species Transfer from a Fully Rough Surface	p. 555
34.3 Application of the Rough Surface Mixing Length Model	p. 557
34.4 Application of Reichardt's Formula to Rough Surfaces	p. 561
Problems	p. 571
Chapter 35 Turbulent Boundary Layer	p. 573
35.1 Formulation of Transport in Turbulent Boundary Layer	p. 573
35.2 Formulation of Heat Transport in the Turbulent Boundary Layer	p. 584
Chapter 36 The K-Epsilon Model of Turbulence	p. 590
36.1 Turbulent Kinetic Energy Equation	p. 590
36.2 Dissipation Equation for Turbulent Kinetic Energy	p. 594
36.3 The Standard K-Epsilon Model	p. 595
Problems	p. 596
Chapter 37 The K-Epsilon Model Applied to Internal Flows	p. 598
37.1 K-Epsilon Model for Poiseuille Flow between Smooth Parallel Plates	p. 598
37.2 Transition Point between Mixing Length and K-Epsilon Models	p. 600
37.3 Solving the K and E Equations	p. 602

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