Problem Solving in Chemical and Biochemical Engineering with POLYMATH, Excel, and MATLAB

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Preface Chapter 1: Introduction to Problem Solving with Mathematical Software Packages 1.1 Efficient Problem Solving--The Objective of This Book 1.2 From Manual Problem Solving to Use of Mathematical Software Packages 1.3 Categorizing Problems According to the Solution Technique Used 1.4 Effective Use of This Book 1.5 Software Usage with This Book 1.6 Web-Based Resources for This Book Chapter 2: Basic Principles and Calculations 2.1 Molar Volume and Compressibility Factor From Van Der Waals Equation 2.2 Molar Volume and Compressibility Factor From Redlich-Kwong Equation 2.3 Stoichiometric Calculations for Biological Reactions 2.4 Steady-State Material Balances on a Separation Train 2.5 Fitting Polynomials and Correlation Equations to Vapor Pressure Data 2.6 Vapor Pressure Correlations For Sulfur Compounds Present in Petroleum 2.7 Mean Heat Capacity of n-Propane 2.8 Vapor Pressure Correlation by Clapeyron and Antoine Equations 2.9 Gas Volume Calculations Using Various Equations of State 2.10 Bubble Point Calculation for an Ideal Binary Mixture 2.11 Dew Point Calculation for an Ideal Binary Mixture 2.12 Bubble Point and Dew Point for an Ideal Multicomponent Mixture 2.13 Adiabatic Flame Temperature in Combustion 2.14 Unsteady-State Mixing in a Tank 2.15 Unsteady-State Mixing in a Series of Tanks 2.16 Heat Exchange in a Series of Tanks References Chapter 3: Regression and Correlation of Data 3.1 Estimation of Antoine Equation Parameters Using Nonlinear Regression 3.2 Antoine Equation Parameters for Various Hydrocarbons 3.3 Correlation of Thermodynamic and Physical Properties of n-Propane 3.4 Temperature Dependency of Selected Properties 3.5 Heat Transfer Correlations From Dimensional Analysis 3.6 Heat Transfer Correlation of Liquids in Tubes 3.7 Heat Transfer in Fluidized Bed Reactor 3.8 Correlation of Binary Activity Coefficients Using Margules Equations 3.9 Margules Equations for Binary Systems Containing Trichloreothane 3.10 Rate Data Analysis for a Catalytic Reforming Reaction 3.11 Regression of Rate Data- Checking Dependency Among Variables 3.12 Regression of Heterogeneous Catalytic Rate Data 3.13 Variation of Reaction Rate Constant With Temperature 3.14 Calculations of Antoine Equation Parameters Using Linear Regression References Chapter 4: Problem Solving with EXCEL 4.1 Molar Volume and Compressibility from Redlich-Kwong Equation 4.2 Calculation of the Flow Rate in a Pipeline 4.3 Adiabatic Operation of a Tubular Reactor for Cracking of Acetone 44. Correlation of the Physical Properties of Ethane 4.5 Complex Chemical Equilibrium by Gibbs Energy Minimization References Chapter 5: Problem Solving with MATLAB 5.1 MATLAB--Molar Volume and Compressibility from Redlich-Kwong Equation 5.2 MATLAB--Calculation of the Flow Rate in a Pipeline 5.3 MATLAB--Adiabatic Operation of a Tubular Reactor for Cracking of Acetone 5.4 MATLAB--Correlation of the Physical Properties of Ethane 5.5 MATLAB--Complex Chemical Equilibrium by Gibbs Energy Minimization References Chapter 6: Thermodynamics 6.1 Solution of Stiff Ordinary Differential Equations 6.2 Stiff Ordinary Differential Equations in Chemical Kinetics 6.3 Multiple Steady States in a System of Ordinary Differential Equations 6.4 Iterative Solution of Ode Boundary Value Problem 6.5 Shooting Method for Solving Two-Point Boundary Value Problems 6.6 Expediting the Solution of Systems of Nonlinear Algebraic Equations 6.7 Solving Differential Algebraic Equations--DAE's 6.8 Method of Lines for Partial Differential Equations 6.9 Estimating Model Parameters Involving Ode's Using Fermentation Data References Chapter 7: Thermodynamics 7.1 Compressibility Factor Variation from Van Der Waals Equation 7.2 Compressibility Factor Variation from Various Equations of State 7.3 Isothermal Compression of Gas Using Redlich-Kwong Equation of State 7.4 Thermodynamic Properties of Steam from Redlich-Kwong Equation 7.5 Enthalpy and Entropy Departure Using the Redlich-Kwong Equation 7.6 Fugacity Coefficients of Pure Fluids from Various Equations of State 7.7 Fugacity Coefficients for Ammonia--Experimental and Predicted 7.8 Flash Evaporation of an Ideal Multicomponent Mixture 7.9 Flash Evaporation of Various Hydrocarbon Mixtures 7.10 Correlations of Activity Coefficients with the Van Laar Equations 7.11 Vapor Liquid Equilibrium Data from Total Pressure Measurements I 7.12 Vapor Liquid Equilibrium Data from Total Pressure Measurements II 7.13 Complex Chemical Equilibrium 7.14 Reaction Equilibrium at Constant Pressure or Constant Volume References Chapter 8: Fluid Mechanics 8.1 Laminar Flow of a Newtonian Fluid in a Horizontal Pipe 8.2 Laminar Flow of Non-Newtonian Fluids in a Horizontal Pipe 8.3 Vertical Laminar Flow of a Liquid Film 8.4 Laminar Flow of Non-Newtonian Fluids in a Horizontal Annulus 8.5 Temperature Dependency of Destiny and Viscosity of Various Liquids 8.6 Terminal Velocity of Falling Particles 8.7 Comparison of Friction Factor Correlations for Turbulent Pipe Flow 8.8 Calculations Involving Friction Factors for Flow in Pipes 8.9 Average Velocity in Turbulent Smooth Pipe Flow from Maximum Velocity 8.10 Calculation of the Flow Rate in a Pipeline 8.11 Flow Distribution in a Pipeline Network 8.12 Water Distribution Network 8.13 Pipe and Pump Network 8.14 Optimal Pipe Length for Draining a Cylindrical Tank in Turbulent Flow 8.15 Optimal Pipe Length for Draining a Cylindrical Tank in Laminar Flow 8.16 Baseball Trajectories as a Function of Elevation 8.17 Velocity Profiles for a Wall Suddenly Set in Motion--Laminar Flow 8.18 Boundary Layer Flow of a Newtonian Fluid on a Flat Plate References Chapter 9: Heat Transfer 9.1 One-Dimensional Heat Transfer through a Multilayered Wall 9.2 Heat Conduction in a Wire with Electrical Heat Source and Insulation 9.3 Radial Heat Transfer by Conduction with Convection at Boundaries 9.4 Energy Loss from an Insulated Pipe 9.5 Hat Loss through Pipe Flanges 9.6 Heat Transfer from a Horizontal Cylinder Attached to a Heated Wall 9.7 Heat Transfer from a Triangular Fin 9.8 Single-Pass Heat Exchanger with Convective Heat Transfer on Tube Side 9.9 Double-Pipe Heat Exchangers 9.10 Heat losses from an Uninsulated Tank Due to Convection 9.11 Unsteady-State Radiation to a Thin Plate 9.12 Unsteady-State Conduction Within a Semi-Infinite Slab 9.13 Unsteady-State Conduction in Two Dimensions References Chapter 10: Mass Transfer 10.1 One-Dimensional Binary Mass Transfer in a Stefan Tube 10.2 Mass Transfer in a Packed Bed with Known Mass Transfer Coefficient 10.3 Slow Sublimation of a Solid Sphere 10.4 Controlled Drug Delivery by Dissolution of Pill Coating 10.5 Diffusion with Simultaneous Reaction in Isothermal Catalyst Particles 10.6 General Effectiveness Factor Calculations for First-Order Reactions 10.7 Simultaneous Diffusion and Reversible Reaction in a Catalytic Layer 10.8 Simultaneous Multicomponent Diffusion of Gases 10.9 Multicomponent Diffusion of Acetone and Methanol in Air 10.10 Multicomponent Diffusion in a Porous Layer Covering a Catalyst 10.11 Second-Order Reaction with Diffusion in Liquid Film 10.12 Simultaneous Heat and Mass Transfer in Catalyst Particles 10.

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