Problem Solving in Chemical and Biochemical Engineering with POLYMATH, Excel, and MATLAB (Prentice Hall International Series in the Physical and Chemical Engineering Sciences)

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CONTENTS
PREFACE
Chapter 1 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
	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 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 TRICHLOROETHANE
	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 CALCULATION 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
	4.4 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 MOLAR VOLUME AND COMPRESSIBILITY FROM REDLICH-KWONG EQUATION
	5.2 CALCULATION OF THE FLOW RATE IN A PIPELINE
	5.3 ADIABATIC OPERATION OF A TUBULAR REACTOR FOR CRACKING OF ACETONE
	5.4 CORRELATION OF THE PHYSICAL PROPERTIES OF ETHANE
	5.5 COMPLEX CHEMICAL EQUILIBRIUM BY GIBBS ENERGY MINIMIZATION
	REFERENCE
Chapter 6 Advanced Techniques in Problem Solving
	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—DAEs
	6.8 METHOD OF LINES FOR PARTIAL DIFFERENTIAL EQUATIONS
	6.9 ESTIMATING MODEL PARAMETERS INVOLVING ODEs 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 CORRELATION 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 DENSITY 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 HEAT 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 EXCHANGER
	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 COOLING OF A SOLID SPHERE IN A FINITE WATER BATH
	9.14 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
	10.13 UNSTEADY-STATE MASS TRANSFER IN A SLAB
	10.14 UNSTEADY-STATE DIFFUSION AND REACTION IN A SEMI-INFINITE SLAB
	10.15 DIFFUSION AND REACTION IN A FALLING LAMINAR LIQUID FILM
	REFERENCES
Chapter 11 Chemical Reaction Engineering
	11.1 PLUG-FLOW REACTOR WITH VOLUME CHANGE DURING REACTION
	11.2 VARIATION OF CONVERSION WITH REACTION ORDER IN A PLUG-FLOW REACTOR
	11.3 GAS PHASE REACTION IN A PACKED BED REACTOR WITH PRESSURE DROP
	11.4 CATALYTIC REACTOR WITH MEMBRANE SEPARATION
	11.5 SEMIBATCH REACTOR WITH REVERSIBLE LIQUID PHASE REACTION
	11.6 OPERATION OF THREE CONTINUOUS STIRRED TANK REACTORS IN SERIES
	11.7 DIFFERENTIAL METHOD OF RATE DATA ANALYSIS IN A BATCH REACTOR
	11.8 INTEGRAL METHOD OF RATE DATA ANALYSIS IN A BATCH REACTOR
	11.9 INTEGRAL METHOD OF RATE DATA ANALYSIS—BIMOLECULAR REACTION
	11.10 INITIAL RATE METHOD OF DATA ANALYSIS
	11.11 HALF-LIFE METHOD FOR RATE DATA ANALYSIS
	11.12 METHOD OF EXCESS FOR RATE DATA ANALYSIS IN A BATCH REACTOR
	11.13 RATE DATA ANALYSIS FOR A CSTR
	11.14 DIFFERENTIAL RATE DATA ANALYSIS FOR A PLUG-FLOW REACTOR
	11.15 INTEGRAL RATE DATA ANALYSIS FOR A PLUG-FLOW REACTOR
	11.16 DETERMINATION OF RATE EXPRESSIONS FOR A CATALYTIC REACTION
	11.17 PACKED BED REACTOR DESIGN FOR A GAS PHASE CATALYTIC REACTION
	11.18 CATALYST DECAY IN A PACKED BED REACTOR MODELED BY A SERIES OF CSTRS
	11.19 DESIGN FOR CATALYST DEACTIVATION IN A STRAIGHT-THROUGH REACTOR
	11.20 ENZYMATIC REACTIONS IN A BATCH REACTOR
	11.21 ISOTHERMAL BATCH REACTOR DESIGN FOR MULTIPLE REACTIONS
	11.22 MATERIAL AND ENERGY BALANCES ON A BATCH REACTOR
	11.23 OPERATION OF A COOLED EXOTHERMIC CSTR
	11.24 EXOTHERMIC REVERSIBLE GAS PHASE REACTION IN A PACKED BED REACTOR
	11.25 TEMPERATURE EFFECTS WITH EXOTHERMIC REACTIONS
	11.26 DIFFUSION WITH MULTIPLE REACTIONS IN POROUS CATALYST PARTICLES
	11.27 NITRIFICATION OF BIOMASS IN A FLUIDIZED BED REACTOR
	11.28 STERILIZATION KINETICS AND EXTINCTION PROBABILITIES IN BATCH FERMENTERS
	REFERENCES
Chapter 12 Phase Equilibria and Distillation
	12.1 THREE STAGE FLASH EVAPORATOR FOR RECOVERING HEXANE FROM OCTANE
	12.2 NON-IDEAL VAPOR-LIQUID AND LIQUID-LIQUID EQUILIBRIUM
	12.3 CALCULATION OF WILSON EQUATION COEFFICIENTS FROM AZEOTROPIC DATA
	12.4 VAN LAAR EQUATIONS COEFFICIENTS FROM AZEOTROPIC DATA
	12.5 NON-IDEAL VLE FROM AZEOTROPIC DATA USING THE VAN LAAR EQUATIONS
	12.6 FENSKE-UNDERWOOD-GILLILAND CORRELATIONS FOR SEPARATION TOWERS
	12.7 FENSKE-UNDERWOOD-GILLILAND CORRELATIONS IN DEPROPANIZER DESIGN
	12.8 RIGOROUS DISTILLATION CALCULATIONS FOR A SIMPLE SEPARATION TOWER
	12.9 RIGOROUS DISTILLATION CALCULATIONS FOR HEXANE-OCTANE SEPARATION TOWER
	12.10 BATCH DISTILLATION OF A WATER-ETHANOL MIXTURE
	12.11 DYNAMICS OF BATCH DISTILLATION OF FERMENTER BROTH
	REFERENCES
Chapter 13 Process Dynamics and Control
	13.1 MODELING THE DYNAMICS OF FIRST-AND SECOND-ORDER SYSTEMS
	13.2 DYNAMICS OF A U-TUBE MANOMETER
	13.3 DYNAMICS AND STABILITY OF AN EXOTHERMIC CSTR
	13.4 FITTING A FIRST-ORDER PLUS DEAD-TIME MODEL TO PROCESS DATA
	13.5 DYNAMICS AND CONTROL OF A FLOW-THROUGH STORAGE TANK
	13.6 DYNAMICS AND CONTROL OF A STIRRED TANK HEATER
	13.7 CONTROLLER TUNING USING INTERNAL MODEL CONTROL (IMC) CORRELATIONS
	13.8 FIRST ORDER PLUS DEAD TIME MODELS FOR STIRRED TANK HEATER
	13.9 CLOSED-LOOP CONTROLLER TUNING–THE ZIEGLER-NICHOLS METHOD
	13.10 PI CONTROLLER TUNING USING THE AUTO TUNE VARIATION “ATV” METHOD
	13.11 RESET WINDUP IN A STIRRED TANK HEATER
	13.12 TEMPERATURE CONTROL AND STARTUP OF A NONISOTHERMAL CSTR
	13.13 LEVEL CONTROL OF TWO INTERACTIVE TANKS
	13.14 PI CONTROL OF FERMENTER TEMPERATURE
	13.15 INSULIN DELIVERY TO DIABETICS USING PI CONTROL
	REFERENCES
Chapter 14 Biochemical Engineering
	14.1 ELEMENTARY STEP AND APPROXIMATE MODELS FOR ENZYME KINETICS
	14.2 DETERMINATION AND MODELING INHIBITION FOR ENZYME-CATALYZED REACTIONS
	14.3 BIOREACTOR DESIGN WITH ENZYME CATALYSTS—TEMPERATURE EFFECTS
	14.4 OPTIMIZATION OF TEMPERATURE IN BATCH AND CSTR ENZYMATIC REACTORS
	14.5 DIFFUSION WITH REACTION IN SPHERICAL IMMOBILIZED ENZYME PARTICLES
	14.6 MULTIPLE STEADY STATES IN A CHEMOSTAT WITH INHIBITED MICROBIAL GROWTH
	14.7 FITTING PARAMETERS IN THE MONOD EQUATION FOR A BATCH CULTURE
	14.8 MODELING AND ANALYSIS OF KINETICS IN A CHEMOSTAT
	14.9 DYNAMIC MODELING OF A CHEMOSTAT
	14.10 PREDATOR-PREY DYNAMICS OF MIXED CULTURES IN A CHEMOSTAT
	14.11 BIOKINETIC MODELING INCORPORATING IMPERFECT MIXING IN A CHEMOSTAT
	14.12 DYNAMIC MODELING OF A CHEMOSTAT SYSTEM WITH TWO STAGES
	14.13 SEMICONTINUOUS FED-BATCH AND CYCLIC-FED BATCH OPERATION
	14.14 OPTIMIZATION OF ETHANOL PRODUCTION IN A BATCH FERMENTER
	14.15 ETHANOL PRODUCTION IN A WELL-MIXED FERMENTER WITH CELL RECYCLE
	14.16 DYNAMIC MODELING OF AN ANAEROBIC DIGESTER
	14.17 START-UP AND CONTROL OF AN ANAEROBIC DIGESTER
	REFERENCES
Appendix A
Appendix B
Appendix C
Appendix D
Appendix E
Appendix F
INDEX
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