Cover image for Mass transfer and separation processes : principles and applications
Title:
Mass transfer and separation processes : principles and applications
Personal Author:
Edition:
2nd ed.
Publication Information:
Boca Raton, FL : CRC, 2007
ISBN:
9781420051599

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30000010124466 QC318.M3 B37 2007 Open Access Book Book
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30000010175714 QC318.M3 B37 2007 Open Access Book Book
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Summary

Summary

Mass transfer along with separation processes is an area that is often quite challenging to master, as most volumes currently available complicate the learning by teaching mass transfer linked with heat transfer, rather than focusing on more relevant techniques.

With this thoroughly updated second edition, Mass Transfer and Separation Processes: Principles and Applications presents a highly thoughtful and instructive introduction to this sophisticated material by teaching mass transfer and separation processes as unique though related entities. In an ever increasing effort to demystify the subject, with this edition, the author--

Avoids more complex separation processes Places a greater emphasis on the art of simplifying assumptions Conveys a greater sense of scale with the inclusion of numerous photos of actual installations Makes the math only as complicated as necessary while reviewing fundamental principles that may have been forgotten

The book explores essential principles and reinforces the concepts with classical and contemporary illustrations drawn from the engineering, environmental, and biological sciences. The theories of heat conduction and transfer are utilized not so much to draw analogies but rather to make fruitful use of existing solutions not seen in other texts on the subject.

Both an introductory resource and a reference, this important text serves environmental, biomedical, and engineering professionals, as well as anyone wishing to gain a grasp on this subject and its increasing relevance across a number of fields. It fills a void in traditional chemical engineering literature by providing access to the principles and working practices that allow mass transfer theory to be applied to separation processes.


Table of Contents

1 Some Basic Notions: Rates of Mass Transferp. 1
1.1 Gradient-Driven and Forced Transportp. 2
1.1.1 The Rate Lawsp. 2
1.1.2 The Transport Diffusivitiesp. 5
1.1.3 The Gradientp. 7
1.1.4 Simple Integrations of Fick's Lawp. 14
1.2 Transport Driven by a Potential Difference (Constant Gradient): The Film Concept and the Mass Transfer Coefficientp. 21
1.2.1 Units of the Potential and of the Mass Transfer Coefficientp. 24
1.2.2 Equimolar Diffusion and Diffusion through a Stagnant Film: The Log-Mean Concentration Differencep. 26
1.2.2.1 Equimolar Counterdiffusionp. 27
1.2.2.2 Diffusion through a Stagnant Filmp. 27
1.3 The Two-Film Theoryp. 33
1.3.1 Overall Driving Forces and Mass Transfer Coefficientsp. 36
1.3.1.1 Commentsp. 38
Practice Problemsp. 42
2 Modeling Mass Transport: The Mass Balancesp. 51
2.1 The Compartment or Stirred Tank and the One-Dimensional Pipep. 51
2.2 The Classification of Mass Balancesp. 62
2.2.1 The Role of Balance Spacep. 62
2.2.2 The Role of Timep. 63
2.2.2.1 Unsteady Integral Balancesp. 63
2.2.2.2 Cumulative (Integral) Balancesp. 63
2.2.2.3 Unsteady Differential Balancesp. 64
2.2.3 Dependent and Independent Variablesp. 64
2.3 Information Obtained from Model Solutionsp. 76
2.4 Setting Up Partial Differential Equationsp. 78
2.5 The General Conservation Equationsp. 90
Practice Problemsp. 99
3 Diffusion through Gases, Liquids, and Solidsp. 107
3.1 Diffusion Coefficientsp. 107
3.1.1 Diffusion in Gasesp. 107
3.1.2 Diffusion in Liquidsp. 111
3.1.3 Diffusion in Solidsp. 118
3.1.3.1 Diffusion of Gases through Polymers and Metalsp. 118
3.1.3.2 Diffusion of Gases through Porous Solidsp. 126
3.1.3.3 Diffusion of Solids in Solidsp. 134
Practice Problemsp. 137
4 More about Diffusion: Transient Diffusion and Diffusion with Reactionp. 143
4.1 Transient Diffusionp. 143
4.1.1 Source Problemsp. 145
4.1.2 Nonsource Problemsp. 157
4.1.2.1 Diffusion into a Semi-Infinite Mediump. 157
4.1.2.2 Diffusion in Finite Geometries: The Plane Sheet, the Cylinder, and the Spherep. 161
4.1.2.3 Diffusion in Finite Geometries: The "Short-Time" and "Long-Time" Solutionsp. 166
4.2 Diffusion and Reactionp. 170
4.2.1 Reaction and Diffusion in a Catalyst Particlep. 171
4.2.2 Gas-Solid Reactions Accompanied by Diffusion: Moving-Boundary Problemsp. 171
4.2.3 Gas-Liquid Systems: Reaction and Diffusion in the Liquid Filmp. 172
Practice Problemsp. 186
5 More about Mass Transfer Coefficientsp. 195
5.1 Dimensionless Groupsp. 196
5.2 Mass Transfer Coefficients in Laminar Flow: Extraction from the PDE Modelp. 200
5.2.1 Mass Transfer Coefficients in Laminar Tubular Flowp. 201
5.2.2 Mass Transfer Coefficients in Laminar Flow around Simple Geometriesp. 203
5.3 Mass Transfer in Turbulent Flow: Dimensional Analysis and the Buckingham [Pi] Theoremp. 206
5.3.1 Dimensional Analysisp. 206
5.3.2 The Buckingham [Pi] Theoremp. 207
5.4 Mass Transfer Coefficients for Tower Packingsp. 216
5.5 Mass Transfer Coefficients in Agitated Vesselsp. 222
5.6 Mass Transfer Coefficients in the Environment: Uptake and Clearance of Toxic Substances in Animals - The Bioconcentration Factorp. 226
Practice Problemsp. 231
6 Phase Equilibriap. 239
6.1 Single-Component Systems: Vapor Pressurep. 240
6.2 Multicomponent Systems: Distribution of a Single Componentp. 246
6.2.1 Gas-Liquid Equilibriap. 246
6.2.2 Liquid and Solid Solubilitiesp. 251
6.2.3 Fluid-Solid Equilibria: The Langmuir Isothermp. 253
6.2.4 Liquid-Liquid Equilibria: The Triangular Phase Diagramp. 264
6.2.5 Equilibria Involving a Supercritical Fluidp. 270
6.2.6 Equilibria in Biology and the Environment: Partitioning of a Solute between Compartmentsp. 274
6.3 Multicomponent Equilibria: Distribution of Several Componentsp. 276
6.3.1 The Phase Rulep. 276
6.3.2 Binary Vapor-Liquid Equilibriap. 277
6.3.2.1 Phase Diagramsp. 277
6.3.2.2 Ideal Solutions and Raoult's Law: Deviation from Idealityp. 280
6.3.2.3 Activity Coefficientsp. 282
6.3.3 The Separation Factor [alpha]: Azeotropesp. 284
Practice Problemsp. 293
7 Staged Operations: The Equilibrium Stagep. 299
7.1 Equilibrium Stagesp. 301
7.1.1 Single-Stage Processesp. 301
7.1.2 Single-Stage Differential Operationp. 307
7.2 Staged Cascadesp. 313
7.2.1 Crosscurrent Cascadesp. 313
7.2.2 Countercurrent Cascadesp. 320
7.2.3 Countercurrent Cascades: The Linear Case and the Kremser Equationp. 323
7.3 The Equilibrium Stage in the Real Worldp. 330
7.3.1 The Mixer-Settler Configurationp. 330
7.3.2 Gas-Liquid Systems: The Tray Towerp. 331
7.3.3 Staged Liquid Extraction Again: The Karr Columnp. 332
7.3.4 Staged Leaching: Oil Extraction from Seedsp. 333
7.3.5 Staged Washing of Solids (CCD)p. 335
7.4 Multistage Distillationp. 336
7.4.1 Continuous Fractional Distillationp. 337
7.4.2 Mass and Energy Balances: Equimolar Overflow and Vaporizationp. 339
7.4.3 The McCabe-Thiele Diagramp. 341
7.4.4 Minimum Reflux Ratio and Number of Platesp. 346
7.4.4.1 Commentsp. 348
7.4.5 Column and Tray Parametersp. 356
7.4.6 Limiting Flow Rates: Column Diameterp. 358
7.4.6.1 Gas or Vapor Flow Ratesp. 359
7.4.6.2 Liquid Velocitiesp. 360
7.4.6.3 Lower Limitsp. 360
7.4.6.4 Commentsp. 360
7.4.7 Batch Fractional Distillation: Model Equations and Some Simple Algebraic Calculationsp. 360
7.4.7.1 Distillation at Constant x[subscript D], Variable Rp. 362
7.4.7.2 Distillation at Constant R, Variable x[subscript D]p. 364
7.4.7.3 Multicomponent Batch Distillation (Forget McCabe-Thiele, Part 2)p. 366
7.5 Percolation Processesp. 367
7.6 Stage Efficienciesp. 370
7.6.1 Distillation and Absorptionp. 370
7.6.2 Extractionp. 372
7.6.3 Adsorption and Leachingp. 372
7.6.4 Percolation Processesp. 373
Practice Problemsp. 376
8 Continuous-Contact Operationsp. 385
8.1 Packed-Column Operationp. 386
8.1.1 The Countercurrent Gas Scrubber Revisitedp. 387
8.1.1.1 Commentsp. 390
8.1.2 The Countercurrent Gas Scrubber Again: Analysis of the Linear Casep. 391
8.1.2.1 Commentsp. 394
8.1.3 Packed Column Characteristicsp. 395
8.1.3.1 Main Featuresp. 395
8.1.3.2 Relation between HTU and HETPp. 396
8.1.3.3 Operational Parametersp. 396
8.1.3.4 Comparison of Packed and Tray Columnsp. 398
8.1.4 Liquid-Liquid Extraction in a Packed Columnp. 403
8.2 Membrane Processesp. 411
8.2.1 Membrane Structure, Configuration, and Applicationsp. 413
8.2.2 Process Considerations and Calculationsp. 418
Practice Problemsp. 433
9 Simultaneous Heat and Mass Transferp. 439
9.1 The Air-Water System: Humidification and Dehumidification, Evaporative Coolingp. 440
9.1.1 The Wet-Bulb Temperaturep. 440
9.1.2 The Adiabatic Saturation Temperature and the Psychrometric Ratiop. 441
9.1.3 Model for Countercurrent Air-Water Contact: The Water Cooling Towerp. 448
9.1.3.1 Water Balance Over Gas Phase (kg H[superscript 2]O/mls)p. 448
9.1.3.2 Water Balance Over Water Phasep. 449
9.1.3.3 Gas-Phase Energy Balance (kJ/m[superscript 2]s)p. 450
9.1.3.4 Liquid-Phase Energy Balance (kJ/m[superscript 2]s)p. 450
9.2 Drying Operationsp. 455
9.3 Heat Effects in a Catalyst Pellet: The Nonisothermal Effectiveness Factorp. 462
9.3.1 Commentsp. 465
Practice Problemsp. 467
Selected Referencesp. 469
Appendix A1 The D-Operator Methodp. 475
Appendix A2 Hyperbolic Functions and ODEsp. 477
Indexp. 479