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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