Description

Book Synopsis

Written by two of the most prolific and respected chemical engineers in the world, this groundbreaking two-volume set is the new standard in the industry, offering engineers and students alike the most up-do-date, comprehensive, and state-of-the-art coverage of processes and best practices in the field today.

This first new volume in a two-volume set explores and describes integrating new tools for engineering education and practice for better utilization of the existing knowledge on process design. Useful not only for students, professors, scientists and practitioners, especially process, chemical, mechanical and metallurgical engineers, it is also a valuable reference for other engineers, consultants, technicians and scientists concerned about various aspects of industrial design.

The text can be considered as a complementary text to process design for senior and graduate students as well as a hands-on reference work or refresher for engineers at entry level.

Table of Contents

Preface xvii

Acknowledgments xix

About the Authors xxi

1 Computations with Excel Spreadsheet-UniSim Design Simulation 1

Section I - Numerical Analysis 1

Introduction 1

Excel Spreadsheet 1

Functions 2

Trendline Coefficients 2

Goal Seek 5

Solver 6

Linear Regression 7

Measuring Regression Quality 9

Multiple Regression 9

Polynomial Regression 11

Simultaneous Linear Equations 11

Nonlinear Equations 12

Interpolations 13

Integrations 14

The Trapezoidal Rule 14

Simpson’s 1/3 Rule 15

Simpson’s 3/8 Rule 15

Differential Equations 15

Nth Order Ordinary Differential Equations 15

Solution of First-Order Ordinary Differential Equations 15

Runge-Kutta Methods 16

Examples and Solutions 17

Section II – Process Simulation 28

Introduction 28

Thermodynamics for Process Simulators 29

UNISIM Design Software 30

Examples and Solutions 31

References 78

2 Physical Property of Pure Components and Mixtures 81

Pure Components 81

Density of Liquid 82

Viscosity of Liquid 83

Heat Capacity of Liquid 85

Thermal Conductivity of Liquid 87

Volumetric Expansion Rate 90

Vapor Pressure 91

Viscosity of Gas 93

Thermal Conductivity of Gas 94

Heat Capacity of Gases 95

Mixtures 97

Surface Tensions 98

Viscosity of Gas Mixture 99

Enthalpy of Formation 101

Enthalpy of Vaporization 103

Gibbs Energy of Reaction 105

Henry’s Law Constant for Gases in Water 107

Coefficient of Thermal Expansion of Liquid 108

Diffusion Coefficients 109

Gas-Phase Diffusion Coefficients 109

Liquid-Phase Diffusion Coefficients 110

Compressibility Z-factor 111

Solubility and Adsorption 116

Solubility of Hydrocarbons in Water 116

Solubility of Gases in Water 117

Solubility of Sulfur and Nitrogen Compounds in Water 118

Adsorption on Activated Carbon 119

References 119

3 Fluid Flow 121

Introduction 121

Flow of Fluids in Pipes 121

Equivalent Length of Various Fittings and Valves 123

Excess Head Loss 123

Pipe Reduction and Enlargement 124

Pressure Drop Calculations for Single-phase Incompressible Fluids 124

Friction Factor 127

Overall Pressure Drop 128

Nomenclature 130

Compressible Fluid Flow in Pipes 130

Maximum Flow and Pressure Drop 131

Critical or Sonic Flow and the Mach Number 131

Mach Number 132

Mathematical Model of Compressible Isothermal Flow 134

Flow Rate Through Pipeline 136

Pipeline Pressure Drop 138

Nomenclature 139

Subscripts 139

Two-phase Flow in Process Piping 139

Flow Patterns 140

Flow Regimes 142

Pressure Drop 142

Erosion-Corrosion 145

Nomenclature 145

Vapor-liquid Two-phase Vertical Downflow 146

The Equations 147

The Algorithm 147

Nomenclature 147

Line Sizes for Flashing Steam Condensate 148

The Equations 148

Nomenclature 149

Flow Through Packed Beds 150

The Equations 151

Nomenclature 152

Examples and Solutions 152

References 162

4 Equipment Sizing 165

Introduction 165

Sizing of Vertical and Horizontal Separators 166

Vertical Separators 166

Calculation Method for a Vertical Drum 168

Calculation Method for a Horizontal Drum 170

Liquid Holdup and Vapor Space Disengagement 171

Wire Mesh Pad 171

Standards for Horizontal Separators 172

Piping Requirements 172

Nomenclature 172

Sizing of Partly Filled Vessels and Tanks 173

The Equations 173

Nomenclature 175

Preliminary Vessel Design 176

Nomenclature 177

Cyclone Design 178

Introduction 178

Cyclone Design Procedure 178

The Equations 179

Saltation Velocity 180

Pressure Drop 181

Troubleshooting Cyclone Maloperations 182

Cyclone Collection Efficiency 182

Cyclone Design Factor 182

Cyclone Design Procedure 183

Nomenclature 183

Gas Dryer Design 184

The Equations 186

Pressure Drop 187

Desiccant Reactivation 188

Nomenclature 188

Examples and Solutions 189

References 194

5 Instrument Sizing 195

Introduction 195

Variable-Head Meters 195

Macroscopic Mechanical Energy Balance 196

Variable-Head Meters 196

Orifice Sizing for Liquid and Gas Flows 200

Orifice Sizing for Liquid Flows 201

Orifice Sizing for Gas Flows 202

Orifice Sizing for Liquid Flow 204

Orifice Sizing for Gas Flow 204

Types of Restriction Orifice Plates 205

Case Study 1 205

Nomenclature 212

Control Valve Sizing 221

Introduction 221

Control Valve Characteristics 223

Pressure Drop for Sizing 224

Choked Flow 224

Flashing and Cavitation 224

Control Valve Sizing for Liquid, Gas, Steam and Two-Phase Flows 225

Liquid Sizing 226

Gas Sizing 227

Critical Condition 227

Steam Sizing 227

Two-Phase Flow 228

Installation 229

Noise 229

Control Valve Sizing Criteria 230

Valve Sizing Criteria 230

Self-Acting Regulators 231

Types of Self-Acting Regulators 231

Case Study 2 233

Rules of Thumb 246

Nomenclature 246

References 247

6 Pumps and Compressors Sizing 249

Pumps 249

Introduction 249

Pumping of Liquids 249

Pump Design Standardization 252

Basic Parts of a Centrifugal Pump 253

Impellers 253

Casing 253

Shaft 254

Centrifugal Pump Selection 255

Single-Stage (Single Impeller) Pumps 256

Hydraulic Characteristics for Centrifugal Pumps 260

Friction Losses Due to Flow 269

Velocity Head 269

Friction 271

Net Positive Suction Head (npsh) and Pump Suction 271

General Suction System 277

Reductions in NPSHR 279

Corrections to NPSHR for Hot Liquid Hydrocarbons and Water 279

Charting NPSHR Values of Pumps 280

Net Positive Suction Head (NPSH) 280

Specific Speed 282

“Type Specific Speed” 285

Rotative Speed 286

Pumping Systems and Performance 286

System Head Using Two Different Pipe Sizes in Same Line 288

Power Requirements for Pumping Through Process Lines 291

Hydraulic Power 292

Relations Between Head, Horsepower, Capacity, Speed 293

Brake Horsepower (BHP) Input at Pump 293

Affinity Laws 296

Pump Parameters 298

Specific Speed, Flowrate and Power Required by a Pump 299

Pump Sizing of Gas-Oil 301

Debutanizer Unit 303

Centrifugal Pump Efficiency 306

Centrifugal Pump Specifications 311

Pump Specifications 311

Steps in Pump Sizing 312

Reciprocating Pumps 313

Significant Features in Reciprocating Pump Arrangements 314

Application 316

Performance 316

Discharge Flow Patterns 317

Horsepower 318

Pump Selection 318

Selection Rules-of-Thumb 318

A Case Study 321

Pump Simulation on a PFD 321

Variables Descriptions 322

Simulation Algorithm 322

Problem 323

Discussion 324

Pump Cavitation 332

Factors in Pump Selection 333

Compressors 334

Introduction 334

General Application Guide 334

Specification Guides 337

General Considerations for Any Type of Compressor Flow Conditions 337

Fluid Properties 338

Compressibility 338

Corrosive Nature 338

Moisture 339

Special Conditions 339

Specification Sheet 339

Performance Considerations 339

Cooling Water to Cylinder Jackets 339

Heat Rejected to Water 339

Drivers 340

Ideal Pressure – Volume Relationship 341

Actual Compressor Diagram 343

Deviations From Ideal Gas Laws: Compressibility 343

Adiabatic Calculations 346

Charles’ Law at Constant Pressure 346

Amonton’s Law at Constant Volume 346

Combined Boyle’s and Charles’ Laws 346

Entropy Balance Method 347

Isentropic Exponent Method 347

Compression Ratio 354

Horsepower 356

Single Stage 356

Theoretical Hp 356

Actual Brake Horsepower, Bhp 356

Actual Brake Horsepower, Bhp (Alternate Correction for Compressibility) 361

Temperature Rise – Adiabatic 363

Temperature Rise – Polytropic 365

A Case Study Using Unisim Design R460.1 Software for a Two–stage Compression 365

Case Study 2 365

Solution 365

1. Starting UniSim Design Software 366

2. Creating a New Simulation 366

Saving the Simulation 367

3. Adding Components to the Simulation 367

4. Selecting a Fluids Package 368

5. Select the Units for the Simulation 369

6. Enter Simulation Environment 369

Accidentally Closing the PFD 371

Object Palette 371

7. Adding Material Streams 371

8. Specifying Material Streams 372

9. Adding A Compressor 374

Specifications 381

Compression Process 385

Adiabatic 385

Isothermal 385

Polytropic 385

Efficiency 388

Head 390

Adiabatic Head Developed Per Single-stage Wheel 390

Polytropic Head 391

Polytropic 391

Brake Horsepower 393

Speed of Rotation 396

Temperature Rise During Compression 397

Sonic or Acoustic Velocity 399

Mach Number 402

Specific Speed 402

Compressor Equations in Si Units 403

Polytropic Compressor 405

Adiabatic Compressor 408

Efficiency 409

Mass Flow Rate, w 409

Mechanical Losses 410

Estimating Compressor Horsepower 411

Multistage Compressors 412

Multicomponent Gas Streams 414

Affinity Laws 422

Speed 423

Impeller Diameters (Similar) 423

Impeller Diameter (Changed) 424

Effect of Temperature 424

Affinity Law Performance 425

Troubleshooting of Centrifugal and Reciprocating Compressors 425

Nomenclature 429

Greek Symbols 431

Subscripts 432

Nomenclature 432

Subscripts 434

Greek Symbols 434

References 434

Pumps 434

Bibliography 435

References 435

Compressors 435

Bibliography 436

7 Mass Transfer 437

Introduction 437

Vapor Liquid Equilibrium 437

Bubble Point Calculation 441

Dew Point Calculation 442

Equilibrium Flash Composition 442

Fundamental 443

The Equations 444

The Algorithm 445

Nomenclature 446

Tower Sizing for Valve Trays 446

Introduction 446

The Equations 448

Nomenclature 452

Greek Letters 465

Packed Tower Design 466

Introduction 466

Pressure Drop 466

Flooding 466

Operating and Design Conditions 468

Design Equations 471

Packed Towers versus Trayed Towers 473

Economic Trade-Offs 473

Nomenclature 474

Greek Letters 474

Determination of Plates in Fractionating Columns By the Smoker Equations 474

Introduction 474

The Equations 474

Application to a Distillation Column 475

Rectifying Section: 475

Stripping Section: 476

Nomenclature 476

Multicomponent Distribution and Minimum Trays In Distillation Columns 477

Introduction 477

Key Components 477

Equations Surveyed 477

Fractionating Tray Stability Diagrams 479

Areas of Unacceptable Operation 479

Foaming 480

Flooding 480

Entrainment 480

Weeping/Dumping 480

Fractionation Problem Solving Considerations 481

Mathematical Modeling 481

The Fenske’s Method for Total Reflux 483

The Gilliland Method for Number of Equilibrium Stages 484

The Underwood Method 485

Equations for Describing Gilliland’s Graph 486

Kirkbride’s Feed Plate Location 487

Nomenclature 487

Greek Letters 488

Examples and Solutions 488

References 499

Index 501

Chemical Process Engineering Volume 1

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A Hardback by Rahmat Sotudeh-Gharebagh, A. Kayode Coker

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    View other formats and editions of Chemical Process Engineering Volume 1 by Rahmat Sotudeh-Gharebagh

    Publisher: John Wiley & Sons Inc
    Publication Date: 17/05/2022
    ISBN13: 9781119510185, 978-1119510185
    ISBN10: 111951018X

    Description

    Book Synopsis

    Written by two of the most prolific and respected chemical engineers in the world, this groundbreaking two-volume set is the new standard in the industry, offering engineers and students alike the most up-do-date, comprehensive, and state-of-the-art coverage of processes and best practices in the field today.

    This first new volume in a two-volume set explores and describes integrating new tools for engineering education and practice for better utilization of the existing knowledge on process design. Useful not only for students, professors, scientists and practitioners, especially process, chemical, mechanical and metallurgical engineers, it is also a valuable reference for other engineers, consultants, technicians and scientists concerned about various aspects of industrial design.

    The text can be considered as a complementary text to process design for senior and graduate students as well as a hands-on reference work or refresher for engineers at entry level.

    Table of Contents

    Preface xvii

    Acknowledgments xix

    About the Authors xxi

    1 Computations with Excel Spreadsheet-UniSim Design Simulation 1

    Section I - Numerical Analysis 1

    Introduction 1

    Excel Spreadsheet 1

    Functions 2

    Trendline Coefficients 2

    Goal Seek 5

    Solver 6

    Linear Regression 7

    Measuring Regression Quality 9

    Multiple Regression 9

    Polynomial Regression 11

    Simultaneous Linear Equations 11

    Nonlinear Equations 12

    Interpolations 13

    Integrations 14

    The Trapezoidal Rule 14

    Simpson’s 1/3 Rule 15

    Simpson’s 3/8 Rule 15

    Differential Equations 15

    Nth Order Ordinary Differential Equations 15

    Solution of First-Order Ordinary Differential Equations 15

    Runge-Kutta Methods 16

    Examples and Solutions 17

    Section II – Process Simulation 28

    Introduction 28

    Thermodynamics for Process Simulators 29

    UNISIM Design Software 30

    Examples and Solutions 31

    References 78

    2 Physical Property of Pure Components and Mixtures 81

    Pure Components 81

    Density of Liquid 82

    Viscosity of Liquid 83

    Heat Capacity of Liquid 85

    Thermal Conductivity of Liquid 87

    Volumetric Expansion Rate 90

    Vapor Pressure 91

    Viscosity of Gas 93

    Thermal Conductivity of Gas 94

    Heat Capacity of Gases 95

    Mixtures 97

    Surface Tensions 98

    Viscosity of Gas Mixture 99

    Enthalpy of Formation 101

    Enthalpy of Vaporization 103

    Gibbs Energy of Reaction 105

    Henry’s Law Constant for Gases in Water 107

    Coefficient of Thermal Expansion of Liquid 108

    Diffusion Coefficients 109

    Gas-Phase Diffusion Coefficients 109

    Liquid-Phase Diffusion Coefficients 110

    Compressibility Z-factor 111

    Solubility and Adsorption 116

    Solubility of Hydrocarbons in Water 116

    Solubility of Gases in Water 117

    Solubility of Sulfur and Nitrogen Compounds in Water 118

    Adsorption on Activated Carbon 119

    References 119

    3 Fluid Flow 121

    Introduction 121

    Flow of Fluids in Pipes 121

    Equivalent Length of Various Fittings and Valves 123

    Excess Head Loss 123

    Pipe Reduction and Enlargement 124

    Pressure Drop Calculations for Single-phase Incompressible Fluids 124

    Friction Factor 127

    Overall Pressure Drop 128

    Nomenclature 130

    Compressible Fluid Flow in Pipes 130

    Maximum Flow and Pressure Drop 131

    Critical or Sonic Flow and the Mach Number 131

    Mach Number 132

    Mathematical Model of Compressible Isothermal Flow 134

    Flow Rate Through Pipeline 136

    Pipeline Pressure Drop 138

    Nomenclature 139

    Subscripts 139

    Two-phase Flow in Process Piping 139

    Flow Patterns 140

    Flow Regimes 142

    Pressure Drop 142

    Erosion-Corrosion 145

    Nomenclature 145

    Vapor-liquid Two-phase Vertical Downflow 146

    The Equations 147

    The Algorithm 147

    Nomenclature 147

    Line Sizes for Flashing Steam Condensate 148

    The Equations 148

    Nomenclature 149

    Flow Through Packed Beds 150

    The Equations 151

    Nomenclature 152

    Examples and Solutions 152

    References 162

    4 Equipment Sizing 165

    Introduction 165

    Sizing of Vertical and Horizontal Separators 166

    Vertical Separators 166

    Calculation Method for a Vertical Drum 168

    Calculation Method for a Horizontal Drum 170

    Liquid Holdup and Vapor Space Disengagement 171

    Wire Mesh Pad 171

    Standards for Horizontal Separators 172

    Piping Requirements 172

    Nomenclature 172

    Sizing of Partly Filled Vessels and Tanks 173

    The Equations 173

    Nomenclature 175

    Preliminary Vessel Design 176

    Nomenclature 177

    Cyclone Design 178

    Introduction 178

    Cyclone Design Procedure 178

    The Equations 179

    Saltation Velocity 180

    Pressure Drop 181

    Troubleshooting Cyclone Maloperations 182

    Cyclone Collection Efficiency 182

    Cyclone Design Factor 182

    Cyclone Design Procedure 183

    Nomenclature 183

    Gas Dryer Design 184

    The Equations 186

    Pressure Drop 187

    Desiccant Reactivation 188

    Nomenclature 188

    Examples and Solutions 189

    References 194

    5 Instrument Sizing 195

    Introduction 195

    Variable-Head Meters 195

    Macroscopic Mechanical Energy Balance 196

    Variable-Head Meters 196

    Orifice Sizing for Liquid and Gas Flows 200

    Orifice Sizing for Liquid Flows 201

    Orifice Sizing for Gas Flows 202

    Orifice Sizing for Liquid Flow 204

    Orifice Sizing for Gas Flow 204

    Types of Restriction Orifice Plates 205

    Case Study 1 205

    Nomenclature 212

    Control Valve Sizing 221

    Introduction 221

    Control Valve Characteristics 223

    Pressure Drop for Sizing 224

    Choked Flow 224

    Flashing and Cavitation 224

    Control Valve Sizing for Liquid, Gas, Steam and Two-Phase Flows 225

    Liquid Sizing 226

    Gas Sizing 227

    Critical Condition 227

    Steam Sizing 227

    Two-Phase Flow 228

    Installation 229

    Noise 229

    Control Valve Sizing Criteria 230

    Valve Sizing Criteria 230

    Self-Acting Regulators 231

    Types of Self-Acting Regulators 231

    Case Study 2 233

    Rules of Thumb 246

    Nomenclature 246

    References 247

    6 Pumps and Compressors Sizing 249

    Pumps 249

    Introduction 249

    Pumping of Liquids 249

    Pump Design Standardization 252

    Basic Parts of a Centrifugal Pump 253

    Impellers 253

    Casing 253

    Shaft 254

    Centrifugal Pump Selection 255

    Single-Stage (Single Impeller) Pumps 256

    Hydraulic Characteristics for Centrifugal Pumps 260

    Friction Losses Due to Flow 269

    Velocity Head 269

    Friction 271

    Net Positive Suction Head (npsh) and Pump Suction 271

    General Suction System 277

    Reductions in NPSHR 279

    Corrections to NPSHR for Hot Liquid Hydrocarbons and Water 279

    Charting NPSHR Values of Pumps 280

    Net Positive Suction Head (NPSH) 280

    Specific Speed 282

    “Type Specific Speed” 285

    Rotative Speed 286

    Pumping Systems and Performance 286

    System Head Using Two Different Pipe Sizes in Same Line 288

    Power Requirements for Pumping Through Process Lines 291

    Hydraulic Power 292

    Relations Between Head, Horsepower, Capacity, Speed 293

    Brake Horsepower (BHP) Input at Pump 293

    Affinity Laws 296

    Pump Parameters 298

    Specific Speed, Flowrate and Power Required by a Pump 299

    Pump Sizing of Gas-Oil 301

    Debutanizer Unit 303

    Centrifugal Pump Efficiency 306

    Centrifugal Pump Specifications 311

    Pump Specifications 311

    Steps in Pump Sizing 312

    Reciprocating Pumps 313

    Significant Features in Reciprocating Pump Arrangements 314

    Application 316

    Performance 316

    Discharge Flow Patterns 317

    Horsepower 318

    Pump Selection 318

    Selection Rules-of-Thumb 318

    A Case Study 321

    Pump Simulation on a PFD 321

    Variables Descriptions 322

    Simulation Algorithm 322

    Problem 323

    Discussion 324

    Pump Cavitation 332

    Factors in Pump Selection 333

    Compressors 334

    Introduction 334

    General Application Guide 334

    Specification Guides 337

    General Considerations for Any Type of Compressor Flow Conditions 337

    Fluid Properties 338

    Compressibility 338

    Corrosive Nature 338

    Moisture 339

    Special Conditions 339

    Specification Sheet 339

    Performance Considerations 339

    Cooling Water to Cylinder Jackets 339

    Heat Rejected to Water 339

    Drivers 340

    Ideal Pressure – Volume Relationship 341

    Actual Compressor Diagram 343

    Deviations From Ideal Gas Laws: Compressibility 343

    Adiabatic Calculations 346

    Charles’ Law at Constant Pressure 346

    Amonton’s Law at Constant Volume 346

    Combined Boyle’s and Charles’ Laws 346

    Entropy Balance Method 347

    Isentropic Exponent Method 347

    Compression Ratio 354

    Horsepower 356

    Single Stage 356

    Theoretical Hp 356

    Actual Brake Horsepower, Bhp 356

    Actual Brake Horsepower, Bhp (Alternate Correction for Compressibility) 361

    Temperature Rise – Adiabatic 363

    Temperature Rise – Polytropic 365

    A Case Study Using Unisim Design R460.1 Software for a Two–stage Compression 365

    Case Study 2 365

    Solution 365

    1. Starting UniSim Design Software 366

    2. Creating a New Simulation 366

    Saving the Simulation 367

    3. Adding Components to the Simulation 367

    4. Selecting a Fluids Package 368

    5. Select the Units for the Simulation 369

    6. Enter Simulation Environment 369

    Accidentally Closing the PFD 371

    Object Palette 371

    7. Adding Material Streams 371

    8. Specifying Material Streams 372

    9. Adding A Compressor 374

    Specifications 381

    Compression Process 385

    Adiabatic 385

    Isothermal 385

    Polytropic 385

    Efficiency 388

    Head 390

    Adiabatic Head Developed Per Single-stage Wheel 390

    Polytropic Head 391

    Polytropic 391

    Brake Horsepower 393

    Speed of Rotation 396

    Temperature Rise During Compression 397

    Sonic or Acoustic Velocity 399

    Mach Number 402

    Specific Speed 402

    Compressor Equations in Si Units 403

    Polytropic Compressor 405

    Adiabatic Compressor 408

    Efficiency 409

    Mass Flow Rate, w 409

    Mechanical Losses 410

    Estimating Compressor Horsepower 411

    Multistage Compressors 412

    Multicomponent Gas Streams 414

    Affinity Laws 422

    Speed 423

    Impeller Diameters (Similar) 423

    Impeller Diameter (Changed) 424

    Effect of Temperature 424

    Affinity Law Performance 425

    Troubleshooting of Centrifugal and Reciprocating Compressors 425

    Nomenclature 429

    Greek Symbols 431

    Subscripts 432

    Nomenclature 432

    Subscripts 434

    Greek Symbols 434

    References 434

    Pumps 434

    Bibliography 435

    References 435

    Compressors 435

    Bibliography 436

    7 Mass Transfer 437

    Introduction 437

    Vapor Liquid Equilibrium 437

    Bubble Point Calculation 441

    Dew Point Calculation 442

    Equilibrium Flash Composition 442

    Fundamental 443

    The Equations 444

    The Algorithm 445

    Nomenclature 446

    Tower Sizing for Valve Trays 446

    Introduction 446

    The Equations 448

    Nomenclature 452

    Greek Letters 465

    Packed Tower Design 466

    Introduction 466

    Pressure Drop 466

    Flooding 466

    Operating and Design Conditions 468

    Design Equations 471

    Packed Towers versus Trayed Towers 473

    Economic Trade-Offs 473

    Nomenclature 474

    Greek Letters 474

    Determination of Plates in Fractionating Columns By the Smoker Equations 474

    Introduction 474

    The Equations 474

    Application to a Distillation Column 475

    Rectifying Section: 475

    Stripping Section: 476

    Nomenclature 476

    Multicomponent Distribution and Minimum Trays In Distillation Columns 477

    Introduction 477

    Key Components 477

    Equations Surveyed 477

    Fractionating Tray Stability Diagrams 479

    Areas of Unacceptable Operation 479

    Foaming 480

    Flooding 480

    Entrainment 480

    Weeping/Dumping 480

    Fractionation Problem Solving Considerations 481

    Mathematical Modeling 481

    The Fenske’s Method for Total Reflux 483

    The Gilliland Method for Number of Equilibrium Stages 484

    The Underwood Method 485

    Equations for Describing Gilliland’s Graph 486

    Kirkbride’s Feed Plate Location 487

    Nomenclature 487

    Greek Letters 488

    Examples and Solutions 488

    References 499

    Index 501

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