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## Book Description

Problem Solving in Chemical and Biochemical Engineering with POLYMATH™, Excel, and MATLAB®, Second Edition, is a valuable resource and companion that integrates the use of numerical problem solving in the three most widely used software packages: POLYMATH, Microsoft Excel, and MATLAB. Recently developed POLYMATH capabilities allow the automatic creation of Excel spreadsheets and the generation of MATLAB code for problem solutions. Students and professional engineers will appreciate the ease with which problems can be entered into POLYMATH and then solved independently in all three software packages, while taking full advantage of the unique capabilities within each package. The book includes more than 170 problems requiring numerical solutions.

This greatly expanded and revised second edition includes new chapters on getting started with and using Excel and MATLAB. It also places special emphasis on biochemical engineering with a major chapter on the subject and with the integration of biochemical problems throughout the book.

General Topics and Subject Areas, Organized by Chapter

• Introduction to Problem Solving with Mathematical Software Packages

• Basic Principles and Calculations

• Regression and Correlation of Data

• Introduction to Problem Solving with Excel

• Introduction to Problem Solving with MATLAB

• Thermodynamics

• Fluid Mechanics

• Heat Transfer

• Mass Transfer

• Chemical Reaction Engineering

• Phase Equilibrium and Distillation

• Process Dynamics and Control

• Biochemical Engineering

Practical Aspects of Problem-Solving Capabilities

• Simultaneous Linear Equations

• Simultaneous Nonlinear Equations

• Linear, Multiple Linear, and Nonlinear Regressions with Statistical Analyses

• Partial Differential Equations (Using the Numerical Method of Lines)

• Curve Fitting by Polynomials with Statistical Analysis

• Simultaneous Ordinary Differential Equations (Including Problems Involving Stiff Systems, Differential-Algebraic Equations, and Parameter Estimation in Systems of Ordinary Differential Equations)

The Book's Web Site (http://www.problemsolvingbook.com)

• Provides solved and partially solved problem files for all three software packages, plus additional materials

• Describes discounted purchase options for educational version of POLYMATH available to book purchasers

• Includes detailed, selected problem solutions in Maple™, Mathcad®, and Mathematica™

2. Prentice Hall PTR International Series in the Physical and Chemical Engineering Sciences
3. Preface
4. 1. Problem Solving with Mathematical Software Packages
1. 1.1. Efficient Problem Solving—The Objective of This Book
2. 1.2. From Manual Problem Solving to Use of Mathematical Software
3. 1.3. Categorizing Problems According to the Solution Technique Used
4. 1.4. Effective Use of This Book
5. 1.5. Software Usage with This Book
6. 1.6. Web-Based Resources for This Book
7. General References
5. 2. Basic Principles and Calculations
1. 2.1. Molar Volume and Compressibility Factor from Van Der Waals Equation
2. 2.2. Molar Volume and Compressibility Factor from Redlich-Kwong Equation
3. 2.3. Stoichiometric Calculations for Biological Reactions
4. 2.4. Steady-State Material Balances on a Separation Train
5. 2.5. Fitting Polynomials and Correlation Equations to Vapor Pressure Data
1. 2.5.1. Concepts Demonstrated
2. 2.5.2. Numerical Methods Utilized
3. 2.5.3. Problem Statement
4. 2.5.4. Solution
6. 2.6. Vapor Pressure Correlations for Sulfur Compounds in Petroleum
7. 2.7. Mean Heat Capacity of n-Propane
1. 2.7.1. Concepts Demonstrated
2. 2.7.2. Numerical Methods Utilized
3. 2.7.3. Problem Statement
4. 2.7.4. Solution (Suggestions)
8. 2.8. Vapor Pressure Correlation by Clapeyron and Antoine Equations
9. 2.9. Gas Volume Calculations using Various Equations of State
1. 2.9.1. Concepts Demonstrated
2. 2.9.2. Numerical Methods Utilized
3. 2.9.3. Problem Statement
4. 2.9.4. Solution (Partial)
10. 2.10. Bubble Point Calculation for an Ideal Binary Mixture
11. 2.11. Dew Point Calculation for an Ideal Binary Mixture
12. 2.12. Bubble Point and Dew Point for an Ideal Multicomponent Mixture
13. 2.13. Adiabatic Flame Temperature in Combustion
14. 2.14. Unsteady-State Mixing in a Tank
15. 2.15. Unsteady-State Mixing in a Series of Tanks
16. 2.16. Heat Exchange in a Series of Tanks
17. References
6. 3. Regression and Correlation of Data
1. 3.1. Estimation of Antoine Equation Parameters Using Nonlinear Regression
1. 3.1.1. Concepts Demonstrated
2. 3.1.2. Numerical Methods Utilized
3. 3.1.3. Excel Options and Functions Demonstrated
4. 3.1.4. Problem Definition
1. Nonlinear Regression
2. 3.2. Antoine Equation Parameters for Various Hydrocarbons
3. 3.3. Correlation of Thermodynamic and Physical Properties of n-Propane
1. 3.3.1. Concepts Demonstrated
2. 3.3.2. Numerical Methods Utilized
3. 3.3.3. Excel Options and Functions Demonstrated
4. 3.3.4. Problem Definition
4. 3.4. Temperature Dependency of Selected Properties
5. 3.5. Heat Transfer Correlations from Dimensional Analysis
1. 3.5.1. Concepts Demonstrated
2. 3.5.2. Numerical Methods Utilized
3. 3.5.3. Excel Options and Functions Demonstrated
4. 3.5.4. Problem Definition
6. 3.6. Heat Transfer Correlation of Liquids in Tubes
7. 3.7. Heat Transfer in Fluidized Bed Reactor
8. 3.8. Correlation of Binary Activity Coefficients Using Margules Equations
1. 3.8.1. Concepts Demonstrated
2. 3.8.2. Numerical Methods Utilized
3. 3.8.3. Excel Options and Functions Demonstrated
4. 3.8.4. Problem Definition
9. 3.9. Margules Equations for Binary Systems Containing Trichloroethane
10. 3.10. Rate Data Analysis for a Catalytic Reforming Reaction
11. 3.11. Regression of Rate Data–Checking Dependency Among Variables
1. 3.11.1. Concepts Demonstrated
2. 3.11.2. Numerical Methods Utilized
3. 3.11.3. Excel Options and Functions Demonstrated
4. 3.11.4. Problem Definition
12. 3.12. Regression of Heterogeneous Catalytic Rate Data
13. 3.13. Variation of Reaction Rate Constant with Temperature
14. 3.14. Calculation of Antoine Equation Parameters Using Linear Regression
1. 3.14.1. Concepts Demonstrated
2. 3.14.2. Numerical Methods Utilized
3. 3.14.3. Excel Options and Functions Demonstrated
4. 3.14.4. Problem Definition
15. References
7. 4. Problem Solving with Excel
1. 4.1. Molar Volume and Compressibility from Redlich-Kwong Equation
2. 4.2. Calculation of the Flow Rate in a Pipeline
3. 4.3. Adiabatic Operation of a Tubular Reactor for Cracking of Acetone
4. 4.4. Correlation of the Physical Properties of Ethane
5. 4.5. Complex Chemical Equilibrium by Gibbs Energy Minimization
6. References
8. 5. Problem Solving with MATLAB
1. 5.1. Molar Volume and Compressibility from Redlich-Kwong Equation
2. 5.2. Calculation of the Flow Rate in a Pipeline
3. 5.3. Adiabatic Operation of a Tubular Reactor for Cracking of Acetone
4. 5.4. Correlation of the Physical Properties of Ethane
5. 5.5. Complex Chemical Equilibrium by Gibbs Energy Minimization
1. 5.5.1. Concepts Demonstrated
2. 5.5.2. Numerical Methods Utilized
3. 5.5.3. MATLAB Options and Functions Demonstrated
4. 5.5.4. Problem Definition
5. 5.5.5. Solution
6. Reference
9. 6. Advanced Techniques in Problem Solving
1. 6.1. Solution of Stiff Ordinary Differential Equations
2. 6.2. Stiff Ordinary Differential Equations in Chemical Kinetics
3. 6.3. Multiple Steady States in a System of Ordinary Differential Equations
4. 6.4. Iterative Solution of an ODE Boundary Value Problem
1. 6.4.1. Concepts Demonstrated
2. 6.4.2. Numerical Methods Utilized
3. 6.4.3. Problem Statement
4. 6.4.4. Solution
5. 6.5. Shooting Method for Solving Two-Point Boundary Value Problems
1. 6.5.1. Concepts Demonstrated
2. 6.5.2. Numerical Methods Utilized
3. 6.5.3. Problem Statement
4. 6.5.4. Solution (Partial)
6. 6.6. Expediting the Solution of Systems of Nonlinear Algebraic Equations
1. 6.6.1. Concepts Demonstrated
2. 6.6.2. Numerical Methods Utilized
3. 6.6.3. Problem Statement
4. 6.6.4. Solution and Partial Solution
7. 6.7. Solving Differential Algebraic Equations—DAEs
1. 6.7.1. Concepts Demonstrated
2. 6.7.2. Numerical Methods Utilized
3. 6.7.3. Problem Statement
4. 6.7.4. Solution (Partial)
8. 6.8. Method of Lines for Partial Differential Equations
1. 6.8.1. Concepts Demonstrated
2. 6.8.2. Numerical Methods Utilized
3. 6.8.3. Problem Statement
4. 6.8.4. Solution
9. 6.9. Estimating Model Parameters Involving ODEs Using Fermentation Data
10. References
10. 7. Thermodynamics
1. 7.1. Compressibility Factor Variation from van der Waals Equation
1. 7.1.1. Concepts Demonstrated
2. 7.1.2. Numerical Methods Utilized
3. 7.1.3. Problem Statement
4. 7.1.4. Solution
2. 7.2. Compressibility Factor Variation from Various Equations of State
1. 7.2.1. Concepts Demonstrated
2. 7.2.2. Numerical Methods Utilized
3. 7.2.3. Problem Statement
4. 7.2.4. Solution (Suggestions)
3. 7.3. Isothermal Compression of Gas Using Redlich-Kwong Equation of State
1. 7.3.1. Concepts Demonstrated
2. 7.3.2. Numerical Methods Utilized
3. 7.3.3. Problem Statement
4. 7.3.4. Solution (Partial)
4. 7.4. Thermodynamic Properties of Steam from Redlich-Kwong Equation
1. 7.4.1. Concepts Demonstrated
2. 7.4.2. Numerical Methods Utilized
3. 7.4.3. Problem Statement
4. 7.4.4. Solution (Partial)
5. 7.5. Enthalpy and Entropy Departure Using the Redlich-Kwong Equation
1. 7.5.1. Concepts Demonstrated
2. 7.5.2. Numerical Methods Utilized
3. 7.5.3. Problem Statement
4. 7.5.4. Solution (Partial)
6. 7.6. Fugacity Coefficients of Pure Fluids from Various Equations of State
1. 7.6.1. Concepts Demonstrated
2. 7.6.2. Numerical Methods Utilized
3. 7.6.3. Problem Statement
7. 7.7. Fugacity Coefficients for Ammonia—Experimental and Predicted
1. 7.7.1. Concepts Demonstrated
2. 7.7.2. Numerical Methods Utilized
3. 7.7.3. Problem Statement
4. 7.7.4. Solution (Suggestions)
8. 7.8. Flash Evaporation of an Ideal Multicomponent Mixture
1. 7.8.1. Concepts Demonstrated
2. 7.8.2. Numerical Methods Utilized
3. 7.8.3. Problem Statement
4. 7.8.4. Solution (Partial)
9. 7.9. Flash Evaporation of Various Hydrocarbon Mixtures
10. 7.10. Correlation of Activity Coefficients with the Van Laar Equations
11. 7.11. Vapor Liquid Equilibrium Data from Total Pressure Measurements I
1. 7.11.1. Concepts Demonstrated
2. 7.11.2. Numerical Methods Utilized
3. 7.11.3. Problem Statement
4. 7.11.4. Solution
12. 7.12. Vapor Liquid Equilibrium Data from Total Pressure Measurements II
13. 7.13. Complex Chemical Equilibrium
14. 7.14. Reaction Equilibrium at Constant Pressure or Constant Volume
15. References
11. 8. Fluid Mechanics
1. 8.1. Laminar Flow of a Newtonian Fluid in a Horizontal Pipe
1. 8.1.1. Concepts Demonstrated
2. 8.1.2. Numerical Methods Utilized
3. 8.1.3. Problem Statement
4. 8.1.4. Solution
2. 8.2. Laminar Flow of Non-Newtonian Fluids in a Horizontal Pipe
3. 8.3. Vertical Laminar Flow of a Liquid Film
1. 8.3.1. Concepts Demonstrated
2. 8.3.2. Numerical Methods Utilized
3. 8.3.3. Problem Statement
4. 8.3.4. Solution (Suggestions)
4. 8.4. Laminar Flow of Non-Newtonian Fluids in a Horizontal Annulus
1. 8.4.1. Concepts Demonstrated
2. 8.4.2. Numerical Methods Utilized
3. 8.4.3. Problem Statement
4. 8.4.4. Solution (Suggestion)
5. 8.5. Temperature Dependency of Density and Viscosity of Various Liquids
6. 8.6. Terminal Velocity of Falling Particles
1. 8.6.1. Concepts Demonstrated
2. 8.6.2. Numerical Methods Utilized
3. 8.6.3. Problem Statement
4. 8.6.4. Solution for Water
7. 8.7. Comparison of Friction Factor Correlations for Turbulent Pipe Flow
8. 8.8. Calculations Involving Friction Factors for Flow in Pipes
9. 8.9. Average Velocity in Turbulent Smooth Pipe Flow from Maximum Velocity
10. 8.10. Calculation of the Flow Rate in a Pipeline
1. 8.10.1. Concepts Demonstrated
2. 8.10.2. Numerical Methods Utilized
3. 8.10.3. Problem Statement
4. 8.10.4. Solution (Suggestions)
11. 8.11. Flow Distribution in a Pipeline Network
1. 8.11.1. Concepts Demonstrated
2. 8.11.2. Numerical Methods Utilized
3. 8.11.3. Problem Statement
12. 8.12. Water Distribution Network
13. 8.13. Pipe and Pump Network
1. 8.13.1. Concepts Demonstrated
2. 8.13.2. Numerical Methods Utilized
3. 8.13.3. Problem Statement
4. 8.13.4. Solution (Suggestions)
14. 8.14. Optimal Pipe Length for Draining a Cylindrical Tank in Turbulent Flow
1. 8.14.1. Concepts Demonstrated
2. 8.14.2. Numerical Methods Utilized
3. 8.14.3. Problem Statement
4. 8.14.4. Solution (Suggestions)
15. 8.15. Optimal Pipe Length for Draining a Cylindrical Tank in Laminar Flow
16. 8.16. Baseball Trajectories as a Function of Elevation
1. 8.16.1. Concepts Demonstrated
2. 8.16.2. Numerical Methods Utilized
3. 8.16.3. Problem Statement
4. 8.16.4. Solution (Suggestions)
17. 8.17. Velocity Profiles for a Wall Suddenly Set in Motion—Laminar Flow
18. 8.18. Boundary Layer Flow of a Newtonian Fluid on a Flat Plate
1. 8.18.1. Concepts Demonstrated
2. 8.18.2. Numerical Methods Utilized
3. 8.18.3. Problem Statement
4. 8.18.4. Solution (Partial)
19. References
12. 9. Heat Transfer
1. 9.1. One-Dimensional Heat Transfer Through a Multilayered Wall
2. 9.2. Heat Conduction in a Wire with Electrical Heat Source and Insulation
3. 9.3. Radial Heat Transfer by Conduction with Convection at Boundaries
1. 9.3.1. Concepts Demonstrated
2. 9.3.2. Numerical Methods Utilized
3. 9.3.3. Problem Statement
4. 9.3.4. Solution (Suggestions)
4. 9.4. Energy Loss from an Insulated Pipe
5. 9.5. Heat Loss Through Pipe Flanges
6. 9.6. Heat Transfer from a Horizontal Cylinder Attached to a Heated Wall
1. 9.6.1. Concepts Demonstrated
2. 9.6.2. Numerical Methods Utilized
3. 9.6.3. Problem Statement
4. 9.6.4. Solution (Suggestions)
7. 9.7. Heat Transfer from a Triangular Fin
8. 9.8. Single-Pass Heat Exchanger with Convective Heat Transfer on Tube Side
1. 9.8.1. Concepts Demonstrated
2. 9.8.2. Numerical Methods Utilized
3. 9.8.3. Problem Statement
4. 9.8.4. Solution (Partial)
9. 9.9. Double-Pipe Heat Exchanger
1. 9.9.1. Concepts Demonstrated
2. 9.9.2. Numerical Methods Utilized
3. 9.9.3. Problem Statement
4. 9.9.4. Solution (Suggestions)
10. 9.10. Heat Losses from an Uninsulated Tank Due to Convection
1. 9.10.1. Concepts Demonstrated
2. 9.10.2. Numerical Methods Utilized
3. 9.10.3. Problem Statement
4. 9.10.4. Solution (Suggestions)
1. 9.11.1. Concepts Demonstrated
2. 9.11.2. Numerical Methods Utilized
3. 9.11.3. Problem Statement
12. 9.12. Unsteady-State Conduction within a Semi-Infinite Slab
1. 9.12.1. Concepts Demonstrated
2. 9.12.2. Numerical Methods Utilized
3. 9.12.3. Problem Statement
4. 9.12.4. Solution (Suggestions)
13. 9.13. Cooling of a Solid Sphere in a Finite Water Bath
1. 9.13.1. Concepts Demonstrated
2. 9.13.2. Numerical Methods Utilized
3. 9.13.3. Problem Statement
4. 9.13.4. Solution (Partial)
14. 9.14. Unsteady-State Conduction in Two Dimensions
1. 9.14.1. Concepts Demonstrated
2. 9.14.2. Numerical Methods Utilized
3. 9.14.3. Problem Statement
4. 9.14.4. Solution (Partial)
15. References
13. 10. Mass Transfer
1. 10.1. One-Dimensional Binary Mass Transfer in a Stefan Tube
1. 10.1.1. Concepts Demonstrated
2. 10.1.2. Numerical Methods Utilized
3. 10.1.3. Problem Statement
1. Mass Balance on Component A within Diffusion Path
2. Fick’s Law for Binary Diffusion
3. Final Equations and Boundary Conditions
4. Analytical Solution
4. 10.1.4. Solution (Partial with Suggestions)
2. 10.2. Mass Transfer in a Packed Bed with Known Mass Transfer Coefficient
1. 10.2.1. Concepts Demonstrated
2. 10.2.2. Numerical Methods Utilized
3. 10.2.3. Problem Statement
4. 10.2.4. Solution (Suggestions)
3. 10.3. Slow Sublimation of a Solid Sphere
1. 10.3.1. Concepts Demonstrated
2. 10.3.2. Numerical Methods Utilized
3. 10.3.3. Problem Statement
4. 10.3.4. Solution (Partial with Suggestions)
4. 10.4. Controlled Drug Delivery by Dissolution of Pill Coating
1. 10.4.1. Concepts Demonstrated
2. 10.4.2. Numerical Methods Utilized
3. 10.4.3. Problem Statement (Adapted from Fogler,[4] p. 600)
4. 10.4.4. Solution (Suggestions)
5. 10.5. Diffusion with Simultaneous Reaction in Isothermal Catalyst Particles
1. 10.5.1. Concepts Demonstrated
2. 10.5.2. Numerical Methods Utilized
3. 10.5.3. Problem Statement
4. 10.5.4. Solution (Partial)
1. (a) and (b) Sphere
2. (c) Cylinder
6. 10.6. General Effectiveness Factor Calculations for First-Order Reactions
7. 10.7. Simultaneous Diffusion and Reversible Reaction in a Catalytic Layer
1. 10.7.1. Concepts Demonstrated
2. 10.7.2. Numerical Methods Utilized
3. 10.7.3. Problem Statement
4. 10.7.4. Solution (Suggestions)
1. (a) Implicit Finite Difference (IFD) Solution
2. (b) Shooting Technique Solution
3. (c) Comparison of Solution Methods
8. 10.8. Simultaneous Multicomponent Diffusion of Gases
1. 10.8.1. Concepts Demonstrated
2. 10.8.2. Numerical Methods Utilized
3. 10.8.3. Problem Statement
4. 10.8.4. Solution
9. 10.9. Multicomponent Diffusion of Acetone and Methanol in Air
10. 10.10. Multicomponent Diffusion in a Porous Layer Covering a Catalyst
1. 10.10.1. Concepts Demonstrated
2. 10.10.2. Numerical Methods Utilized
3. 10.10.3. Problem Statement
4. 10.10.4. Solution (Suggestions)
11. 10.11. Second-Order Reaction with Diffusion in Liquid Film
12. 10.12. Simultaneous Heat and Mass Transfer in Catalyst Particles
1. 10.12.1. Concepts Demonstrated
2. 10.12.2. Numerical Methods Utilized
3. 10.12.3. Problem Statement
4. 10.12.4. Solution (Suggestions)
13. 10.13. Unsteady-State Mass Transfer in a Slab
1. 10.13.1. Concepts Demonstrated
2. 10.13.2. Numerical Methods Utilized
3. 10.13.3. Problem Statement
4. 10.13.4. Solution (Partial)
14. 10.14. Unsteady-State Diffusion and Reaction in a Semi-Infinite Slab
15. 10.15. Diffusion and Reaction in a Falling Laminar Liquid Film
1. 10.15.1. Concepts Demonstrated
2. 10.15.2. Numerical Methods Utilized
3. 10.15.3. Problem Statement
4. 10.15.4. Solution (Partial)
16. References
14. 11. Chemical Reaction Engineering
1. 11.1. Plug-Flow Reactor with Volume Change During Reaction
1. 11.1.1. Concepts Demonstrated
2. 11.1.2. Numerical Methods Utilized
3. 11.1.3. Problem Statement
4. 11.1.4. Solution (Partial)
2. 11.2. Variation of Conversion with Reaction Order in a Plug-Flow Reactor
3. 11.3. Gas Phase Reaction in a Packed Bed Reactor with Pressure Drop
1. 11.3.1. Concepts Demonstrated
2. 11.3.2. Numerical Methods Utilized
3. 11.3.3. Problem Statement
4. 11.3.4. Solution (Partial)
4. 11.4. Catalytic Reactor with Membrane Separation
5. 11.5. Semibatch Reactor with Reversible Liquid Phase Reaction
6. 11.6. Operation of Three Continuous Stirred Tank Reactors in Series
1. 11.6.1. Concepts Demonstrated
2. 11.6.2. Numerical Methods Utilized
3. 11.6.3. Problem Statement
4. 11.6.4. Solution
7. 11.7. Differential Method of Rate Data Analysis in a Batch Reactor
8. 11.8. Integral Method of Rate Data Analysis in a Batch Reactor
9. 11.9. Integral Method of Rate Data Analysis—Bimolecular Reaction
10. 11.10. Initial Rate Method of Data Analysis
11. 11.11. Half-Life Method for Rate Data Analysis
12. 11.12. Method of Excess for Rate Data Analysis in a Batch Reactor
13. 11.13. Rate Data Analysis for a CSTR
14. 11.14. Differential Rate Data Analysis for a Plug-Flow Reactor
15. 11.15. Integral Rate Data Analysis for a Plug-Flow Reactor
16. 11.16. Determination of Rate Expressions for a Catalytic Reaction
1. 11.16.1. Concepts Demonstrated
2. 11.16.2. Numerical Methods Utilized
3. 11.16.3. Problem Statement
4. 11.16.4. Solution (Suggestions and Partial Results)
17. 11.17. Packed Bed Reactor Design for a Gas Phase Catalytic Reaction
18. 11.18. Catalyst Decay in a Packed Bed Reactor Modeled by a Series of CSTRs
19. 11.19. Design for Catalyst Deactivation in a Straight-Through Reactor
1. 11.19.1. Concepts Demonstrated
2. 11.19.2. Numerical Methods Utilized
3. 11.19.3. Problem Statement
4. 11.19.4. Solution
1. (a) No Deactivation
2. (b) Deactivation
20. 11.20. Enzymatic Reactions in a Batch Reactor
21. 11.21. Isothermal Batch Reactor Design for Multiple Reactions
22. 11.22. Material and Energy Balances on a Batch Reactor
23. 11.23. Operation of a Cooled Exothermic CSTR
1. 11.23.1. Concepts Demonstrated
2. 11.23.2. Numerical Methods Utilized
3. 11.23.3. Problem Statement
4. 11.23.4. Solution (Partial)
24. 11.24. Exothermic Reversible Gas Phase Reaction in a Packed Bed Reactor
1. 11.24.1. Concepts Demonstrated
2. 11.24.2. Numerical Methods Utilized
3. 11.24.3. Problem Statement
25. 11.25. Temperature Effects with Exothermic Reactions
26. 11.26. Diffusion with Multiple Reactions in Porous Catalyst Particles
27. 11.27. Nitrification of Biomass in a Fluidized Bed Reactor
1. 11.27.1. Concepts Demonstrated
2. 11.27.2. Numerical Methods Utilized
3. 11.27.3. Problem Statement (adapted from Tanaka et al.[12] and Dunn et al.[13])
28. 11.28. Sterilization Kinetics and Extinction Probabilities in Batch Fermenters
29. References
15. 12. Phase Equilibria and Distillation
1. 12.1. Three Stage Flash Evaporator for Recovering Hexane from Octane
1. 12.1.1. Concepts Demonstrated
2. 12.1.2. Numerical Methods Utilized
3. 12.1.3. Problem Statement
4. 12.1.4. Solution (Partial)
2. 12.2. Non-Ideal Vapor-Liquid and Liquid-Liquid Equilibrium
1. 12.2.1. Concepts Demonstrated
2. 12.2.2. Numerical Methods Utilized
3. 12.2.3. Problem Statement
4. 12.2.4. Solution
3. 12.3. Calculation of Wilson Equation Coefficients from Azeotropic Data
4. 12.4. Van Laar Equations Coefficients from Azeotropic Data
5. 12.5. Non-Ideal VLE from Azeotropic Data Using the Van Laar Equations
6. 12.6. Fenske-Underwood-Gilliland Correlations for Separation Towers
1. 12.6.1. Concepts Demonstrated
2. 12.6.2. Numerical Methods Utilized
3. 12.6.3. Problem Statement
4. 12.6.4. Solution
5. 12.6.5. Solution
7. 12.7. Fenske-Underwood-Gilliland Correlations in Depropanizer Design
8. 12.8. Rigorous Distillation Calculations for a Simple Separation Tower
1. 12.8.1. Concepts Demonstrated
2. 12.8.2. Numerical Methods Utilized
3. 12.8.3. Problem Statement
4. 12.8.4. Solution
9. 12.9. Rigorous Distillation Calculations for Hexane-Octane Separation Tower
1. 12.9.1. Concepts Demonstrated
2. 12.9.2. Numerical Methods Utilized
3. 12.9.3. Problem Statement
4. 12.9.4. Solution (Suggestion)
10. 12.10. Batch Distillation of a Water-Ethanol Mixture
1. 12.10.1. Concepts Demonstrated
2. 12.10.2. Numerical Methods Utilized
3. 12.10.3. Problem Statement
4. 12.10.4. Solution (Partial)
11. 12.11. Dynamics of Batch Distillation of Fermenter Broth
12. References
16. 13. Process Dynamics and Control
1. 13.1. Modeling the Dynamics of First- and Second-Order Systems
1. 13.1.1. Concepts Demonstrated
2. 13.1.2. Numerical Methods Utilized
3. 13.1.3. Problem Statement
4. 13.1.4. Solution (Partial)
2. 13.2. Dynamics of a U-Tube Manometer
3. 13.3. Dynamics and Stability of an Exothermic CSTR
1. 13.3.1. Concepts Demonstrated
2. 13.3.2. Numerical Methods Utilized
3. 13.3.3. Problem Statement
4. 13.3.4. Solution (Partial)
4. 13.4. Fitting a First-Order Plus Dead-Time Model to Process Data
1. 13.4.1. Concepts Demonstrated
2. 13.4.2. Numerical Methods Utilized
3. 13.4.3. Problem Statement
4. 13.4.4. Solution (Partial)
5. 13.5. Dynamics and Control of a Flow-Through Storage Tank
1. 13.5.1. Concepts Demonstrated
2. 13.5.2. Numerical Methods Utilized
3. 13.5.3. Problem Statement
4. 13.5.4. Solution (Partial Solution and Suggestions)
6. 13.6. Dynamics and Control of a Stirred Tank Heater
1. 13.6.1. Concepts Demonstrated
2. 13.6.2. Numerical Methods Utilized
3. 13.6.3. Problem Statement
4. 13.6.4. Solution
7. 13.7. Controller Tuning Using Internal Model Control (IMC) Correlations
8. 13.8. First Order Plus Dead Time Models for Stirred Tank Heater
1. 13.8.1. Concepts Demonstrated
2. 13.8.2. Numerical Methods Utilized
3. 13.8.3. Problem Statement
4. 13.8.4. Solution (Suggestions)
9. 13.9. Closed-Loop Controller Tuning–The Ziegler-Nichols Method
10. 13.10. PI Controller Tuning Using the Auto Tune Variation “ATV” Method
11. 13.11. Reset Windup in a Stirred Tank Heater
12. 13.12. Temperature Control and Startup of a Nonisothermal CSTR
13. 13.13. Level Control of Two Interactive Tanks
14. 13.14. PI Control of Fermenter Temperature
15. 13.15. Insulin Delivery to Diabetics Using PI Control
16. References
17. 14. Biochemical Engineering
1. 14.1. Elementary Step and Approximate Models for Enzyme Kinetics
1. 14.1.1. Concepts Demonstrated
2. 14.1.2. Numerical Methods Utilized
3. 14.1.3. Problem Statement
4. 14.1.4. Solution (Partial)
2. 14.2. Determination and Modeling Inhibition for Enzyme-Catalyzed Reactions
3. 14.3. Bioreactor Design with Enzyme Catalysts—Temperature Effects
4. 14.4. Optimization of Temperature in Batch and CSTR Enzymatic Reactors
5. 14.5. Diffusion with Reaction in Spherical Immobilized Enzyme Particles
6. 14.6. Multiple Steady States in a Chemostat with Inhibited Microbial Growth
7. 14.7. Fitting Parameters in the Monod Equation for a Batch Culture
8. 14.8. Modeling and Analysis of Kinetics in a Chemostat
9. 14.9. Dynamic Modeling of a Chemostat
10. 14.10. Predator-Prey Dynamics of Mixed Cultures in a Chemostat
11. 14.11. Biokinetic Modeling Incorporating Imperfect Mixing in a Chemostat
1. 14.11.1. Concepts Demonstrated
2. 14.11.2. Numerical Methods Utilized
3. 14.11.3. Problem Statement
12. 14.12. Dynamic Modeling of a Chemostat System with Two Stages
1. 14.12.1. Concepts Demonstrated
2. 14.12.2. Numerical Methods Utilized
3. 14.12.3. Problem Statement
13. 14.13. Semicontinuous Fed-Batch and Cyclic-Fed Batch Operation
14. 14.14. Optimization of Ethanol Production in a Batch Fermenter
15. 14.15. Ethanol Production in a Well-Mixed Fermenter with Cell Recycle
1. 14.15.1. Concepts Demonstrated
2. 14.15.2. Numerical Methods Utilized
3. 14.15.3. Problem Statement
16. 14.16. Dynamic Modeling of an Anaerobic Digester
1. 14.16.1. Concepts Demonstrated
2. 14.16.2. Numerical Methods Utilized
3. 14.16.3. Problem Statement
4. 14.16.4. Solution Suggestions
17. 14.17. Start-Up and Control of an Anaerobic Digester
18. References
18. A.
1. Useful Constants
2. Useful Conversion Factors
3. Useful Finite Difference Approximations
4. Error Functions
5. Student’s t-Distribution
19. B.
20. C.
21. D.
22. E.
23. F.
24. Problems Listed by Subject Areas