| Preface |
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xv | |
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Problem Solving with Mathematical Software Packages |
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1 | (12) |
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Efficient Problem Solving---the Objective of This Book |
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1 | (1) |
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From Manual Problem Solving to Use of Mathematical Software |
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2 | (3) |
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Categorizing Problems According to the Solution Technique Used |
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5 | (5) |
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Effective Use of This Book |
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10 | (2) |
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Software Usage with This Book |
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12 | (1) |
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Web-Based Resources for This Book |
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13 | (44) |
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Basic Principles and Calculations |
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15 | (1) |
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Molar Volume and Compressibility Factor From Van Der Waals Equation |
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15 | (4) |
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Molar Volume and Compressibility Factor from Redlich-Kwong Equation |
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19 | (1) |
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Stoichiometric Calculations for Biological Reactions |
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20 | (3) |
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Steady-State Material Balances on a Separation Train |
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23 | (2) |
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Fitting Polynomials and Correlation Equations to Vapor Pressure Data |
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25 | (8) |
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Vapor Pressure Correlations for Sulfur Compounds in Petroleum |
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33 | (1) |
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Mean Heat Capacity of n-Propane |
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34 | (2) |
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Vapor Pressure Correlation by Clapeyron and Antoine Equations |
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36 | (2) |
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Gas Volume Calculations Using Various Equations of State |
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38 | (3) |
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Bubble Point Calculation for an Ideal Binary Mixture |
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41 | (3) |
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Dew Point Calculation for an Ideal Binary Mixture |
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44 | (1) |
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Bubble Point and Dew Point for an Ideal Multicomponent Mixture |
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45 | (1) |
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Adiabatic Flame Temperature in Combustion |
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46 | (3) |
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Unsteady-state Mixing in a Tank |
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49 | (3) |
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Unsteady-state Mixing in a Series of Tanks |
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52 | (1) |
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Heat Exchange in a Series of Tanks |
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53 | (4) |
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56 | (1) |
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Regression and Correlation of Data |
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57 | (44) |
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Estimation of Antoine Equation Parameters Using Nonlinear Regression |
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57 | (4) |
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Antoine Equation Parameters for Various Hydrocarbons |
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61 | (1) |
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Correlation of Thermodynamic and Physical Properties of n-Propane |
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62 | (10) |
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Temperature Dependency of Selected Properties |
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72 | (1) |
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Heat Transfer Correlations from Dimensional Analysis |
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73 | (6) |
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Heat Transfer Correlation of Liquids in Tubes |
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79 | (1) |
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Heat Transfer in Fluidized Bed Reactor |
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80 | (1) |
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Correlation of Binary Activity Coefficients Using Margules Equations |
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81 | (5) |
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Margules Equations for Binary Systems Containing Trichloroethane |
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86 | (1) |
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Rate Data Analysis for a Catalytic Reforming Reaction |
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87 | (2) |
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Regression of Rate Data---Checking Dependency Among Variables |
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89 | (4) |
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Regression of Heterogeneous Catalytic Rate Data |
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93 | (1) |
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Variation of Reaction Rate Constant With Temperature |
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94 | (1) |
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Calculation of Antoine Equation Parameters Using Linear Regression |
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95 | (6) |
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100 | (1) |
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Problem Solving with Excel |
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101 | (52) |
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Molar Volume and Compressibility from Redlich-Kwong Equation |
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101 | (9) |
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Calculation of the Flow Rate in a Pipeline |
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110 | (9) |
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Adiabatic Operation of a Tubular Reactor for Cracking of Acetone |
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119 | (9) |
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Correlation of the Physical Properties of Ethane |
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128 | (16) |
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Complex Chemical Equilibrium by Gibbs Energy Minimization |
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144 | (9) |
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152 | (1) |
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Problem Solving with Matlab |
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153 | (50) |
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Molar Volume and Compressibility from Redlich-Kwong Equation |
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153 | (12) |
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Calculation of the Flow Rate in a Pipeline |
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165 | (8) |
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Adiabatic Operation of a Tubular Reactor for Cracking of Acetone |
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173 | (9) |
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Correlation of the Physical Properties of Ethane |
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182 | (13) |
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Complex Chemical Equilibrium by Gibbs Energy Minimization |
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195 | (8) |
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202 | (1) |
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Advanced Techniques in Problem Solving |
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203 | (40) |
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Solution of Stiff Ordinary Differential Equations |
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203 | (3) |
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Stiff Ordinary Differential Equations in Chemical Kinetics |
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206 | (1) |
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Multiple Steady States in a System of Ordinary Differential Equations |
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207 | (2) |
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Iterative Solution of ODE Boundary Value Problem |
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209 | (9) |
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Shooting Method for Solving Two-Point Boundary Value Problems |
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218 | (5) |
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Expediting the Solution of Systems of Nonlinear Algebraic Equations |
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223 | (3) |
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Solving Differential Algebraic Equations---DAEs |
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226 | (3) |
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Method of Lines for Partial Differential Equations |
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229 | (6) |
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Estimating Model Parameters Involving ODEs Using Fermentation Data |
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235 | (8) |
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242 | (1) |
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243 | (40) |
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Compressibility Factor Variation from Van Der Waals Equation |
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243 | (5) |
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Compressibility Factor Variation from Various Equations of State |
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248 | (3) |
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Isothermal Compression of Gas Using Redlich-Kwong Equation of State |
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251 | (4) |
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Thermodynamic Properties of Steam from Redlich-Kwong Equation |
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255 | (3) |
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Enthalpy and Entropy Departure Using the Redlich-Kwong Equation |
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258 | (5) |
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Fugacity Coefficients of Pure Fluids from Various Equations of State |
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263 | (2) |
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Fugacity Coefficients for Ammonia---Experimental and Predicted |
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265 | (2) |
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Flash Evaporation of an Ideal Multicomponent Mixture |
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267 | (4) |
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Flash Evaporation of Various Hydrocarbon Mixtures |
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271 | (1) |
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Correlation of Activity Coefficients with the Van Laar Equations |
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272 | (2) |
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Vapor Liquid Equilibrium Data from Total Pressure Measurements I |
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274 | (5) |
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Vapor Liquid Equilibrium Data from Total Pressure Measurements II |
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279 | (1) |
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Complex Chemical Equilibrium |
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280 | (1) |
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Reaction Equilibrium at Constant Pressure or Constant Volume |
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281 | (2) |
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282 | (1) |
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283 | (50) |
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Laminar Flow of a Newtonian Fluid in a Horizontal Pipe |
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283 | (6) |
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Laminar Flow of Non-Newtonian Fluids in a Horizontal Pipe |
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289 | (2) |
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Vertical Laminar Flow of a Liquid Film |
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291 | (3) |
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Laminar Flow of Non-Newtonian Fluids in a Horizontal Annulus |
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294 | (3) |
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Temperature Dependency of Density and Viscosity of Various Liquids |
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297 | (2) |
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Terminal Velocity of Falling Particles |
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299 | (2) |
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Comparison of Friction Factor Correlations for Turbulent Pipe Flow |
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301 | (2) |
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Calculations Involving Friction Factors for Flow in Pipes |
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303 | (3) |
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Average Velocity in Turbulent Smooth Pipe Flow From Maximum Velocity |
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306 | (1) |
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Calculation of the Flow Rate in a Pipeline |
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307 | (2) |
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Flow Distribution in a Pipeline Network |
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309 | (4) |
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Water Distribution Network |
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313 | (2) |
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315 | (2) |
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Optimal Pipe Length for Draining a Cylindrical Tank in Turbulent Flow |
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317 | (3) |
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Optimal Pipe Length for Draining a Cylindrical Tank in Laminar Flow |
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320 | (2) |
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Baseball Trajectories as a Function of Elevation |
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322 | (3) |
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Velocity Profiles for a Wall Suddenly Set in Motion---Laminar Flow |
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325 | (3) |
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Boundary Layer Flow of a Newtonian Fluid on a Flat Plate |
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328 | (5) |
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332 | (1) |
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333 | (50) |
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One-Dimensional Heat Transfer Through a Multilayered Wall |
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333 | (5) |
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Heat Conduction in a Wire with Electrical Heat Source and Insulation |
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338 | (6) |
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Radial Heat Transfer by Conduction with Convection at Boundaries |
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344 | (2) |
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Energy Loss from an Insulated Pipe |
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346 | (1) |
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Heat Loss Through Pipe Flanges |
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347 | (5) |
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Heat Transfer from a Horizontal Cylinder Attached to a Heated Wall |
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352 | (3) |
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Heat Transfer from a Triangular Fin |
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355 | (2) |
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Single-Pass Heat Exchanger with Convective Heat Transfer on Tube Side |
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357 | (4) |
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Double-Pipe Heat Exchanger |
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361 | (4) |
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Heat Losses from an Uninsulated Tank Due to Convection |
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365 | (3) |
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Unsteady-State Radiation to a Thin Plate |
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368 | (2) |
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Unsteady-State Conduction within a Semi-Infinite Slab |
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370 | (3) |
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Cooling of a Solid Sphere in a Finite Water Bath |
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373 | (5) |
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Unsteady-State Conduction in Two Dimensions |
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378 | (5) |
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382 | (1) |
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383 | (62) |
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One-Dimensional Binary Mass Transfer in a Stefan Tube |
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383 | (6) |
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Mass Transfer in a Packed Bed with Known Mass Transfer Coefficient |
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389 | (2) |
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Slow Sublimation of a Solid Sphere |
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391 | (5) |
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Controlled Drug Delivery by Dissolution of Pill Coating |
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396 | (4) |
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Diffusion with Simultaneous Reaction in Isothermal Catalyst Particles |
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400 | (4) |
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General Effectiveness Factor Calculations for First-Order Reactions |
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404 | (2) |
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Simultaneous Diffusion and Reversible Reaction in a Catalytic Layer |
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406 | (7) |
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Simultaneous Multicomponent Diffusion of Gases |
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413 | (5) |
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Multicomponent Diffusion of Acetone and Methanol in Air |
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418 | (1) |
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Multicomponent Diffusion in a Porous Layer Covering a Catalyst |
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419 | (2) |
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Second-Order Reaction with Diffusion in Liquid Film |
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421 | (2) |
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Simultaneous Heat and Mass Transfer in Catalyst Particles |
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423 | (5) |
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Unsteady-State Mass Transfer in a Slab |
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428 | (6) |
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Unsteady-State Diffusion and Reaction in a Semi-Infinite Slab |
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434 | (4) |
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Diffusion and Reaction in a Falling Laminar Liquid Film |
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438 | (7) |
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444 | (1) |
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Chemical Reaction Engineering |
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445 | (78) |
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Plug-Flow Reactor with Volume Change During Reaction |
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445 | (5) |
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Variation of Conversion with Reaction Order in a Plug-Flow Reactor |
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450 | (3) |
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Gas Phase Reaction in a Packed Bed Reactor with Pressure Drop |
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453 | (2) |
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Catalytic Reactor with Membrane Separation |
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455 | (3) |
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Semibatch Reactor with Reversible Liquid Phase Reaction |
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458 | (4) |
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Operation of Three Continuous Stirred Tank Reactors in Series |
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462 | (3) |
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Differential Method of Rate Data Analysis in a Batch Reactor |
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465 | (2) |
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Integral Method of Rate Data Analysis in a Batch Reactor |
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467 | (1) |
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Integral Method of Rate Data Analysis---Bimolecular Reaction |
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468 | (2) |
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Initial Rate Method of Data Analysis |
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470 | (1) |
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Half-Life Method for Rate Data Analysis |
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471 | (3) |
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Method of Excess for Rate Data Analysis in a Batch Reactor |
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474 | (2) |
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Rate Data Analysis for a CSTR |
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476 | (1) |
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Differential Rate Data Analysis for a Plug-Flow Reactor |
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477 | (2) |
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Integral Rate Data Analysis for a Plug-Flow Reactor |
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479 | (2) |
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Determination of Rate Expressions for a Catalytic Reaction |
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481 | (4) |
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Packed Bed Reactor Design for a Gas Phase Catalytic Reaction |
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485 | (3) |
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Catalyst Decay in a Packed Bed Reactor Modeled by a Series of CSTRs |
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488 | (3) |
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Design for Catalyst Deactivation in a Straight-Through Reactor |
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491 | (5) |
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Enzymatic Reactions in a Batch Reactor |
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496 | (2) |
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Isothermal Batch Reactor Design for Multiple Reactions |
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498 | (4) |
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Material and Energy Balances on a Batch Reactor |
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502 | (2) |
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Operation of a Cooled Exothermic CSTR |
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504 | (5) |
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Exothermic Reversible Gas Phase Reaction in a Packed Bed Reactor |
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509 | (3) |
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Temperature Effects with Exothermic Reactions |
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512 | (2) |
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Diffusion with Multiple Reactions in Porous Catalyst Particles |
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514 | (2) |
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Nitrification of Biomass in a Fluidized Bed Reactor |
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516 | (3) |
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Sterilization Kinetics and Extinction Probabilities in Batch Fermenters |
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519 | (4) |
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521 | (2) |
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Phase Equilibria and Distillation |
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523 | (42) |
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Three Stage Flash Evaporator for Recovering Hexane from Octane |
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523 | (4) |
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Non-Ideal Vapor-Liquid and Liquid-Liquid Equilibrium |
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527 | (8) |
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Calculation of Wilson Equation Coefficients from Azeotropic Data |
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535 | (6) |
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Van Laar Equations Coefficients from Azeotropic Data |
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541 | (1) |
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Non-Ideal Vle from Azeotropic Data Using the Van Laar Equations |
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542 | (2) |
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Fenske-Underwood-Gilliland Correlations for Separation Towers |
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544 | (6) |
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Fenske-Underwood-Gilliland Correlations in Depropanizer Design |
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550 | (1) |
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Rigorous Distillation Calculations for a Simple Separation Tower |
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551 | (7) |
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Rigorous Distillation Calculations for Hexane-Octane Separation Tower |
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558 | (1) |
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Batch Distillation of a Water-Ethanol Mixture |
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559 | (4) |
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Dynamics of Batch Distillation of Fermenter Broth |
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563 | (2) |
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564 | (1) |
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Process Dynamics and Control |
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565 | (52) |
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Modeling the Dynamics of First- and Second-Order Systems |
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565 | (7) |
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Dynamics of a U-Tube Manometer |
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572 | (2) |
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Dynamics and Stability of an Exothermic CSTR |
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574 | (2) |
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Fitting a First-Order Plus Dead-Time Model to Process Data |
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576 | (4) |
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Dynamics and Control of a Flow-Through Storage Tank |
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580 | (6) |
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Dynamics and Control of a Stirred Tank Heater |
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586 | (7) |
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Controller Tuning Using Internal Model Control (IMC) Correlations |
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593 | (3) |
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First Order Plus Dead Time Models for Stirred Tank Heater |
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596 | (1) |
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Closed-Loop Controller Tuning-The Ziegler-Nichols Method |
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597 | (3) |
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Pi Controller Tuning Using the Auto Tune Variation ``ATV'' Method |
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600 | (3) |
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Reset Windup in a Stirred Tank Heater |
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603 | (1) |
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Temperature Control and Startup of a Nonisothermal CSTR |
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604 | (1) |
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Level Control of Two Interactive Tanks |
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605 | (4) |
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Pi Control of Fermenter Temperature |
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609 | (3) |
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Insulin Delivery to Diabetics Using Pi Control |
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612 | (5) |
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615 | (2) |
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617 | (56) |
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Elementary Step and Approximate Models for Enzyme Kinetics |
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617 | (5) |
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Determination and Modeling Inhibition for Enzyme-Catalyzed Reactions |
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622 | (4) |
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Bioreactor Design with Enzyme Catalysts---Temperature Effects |
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626 | (2) |
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Optimization of Temperature in Batch and CSTR Enzymatic Reactors |
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628 | (2) |
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Diffusion with Reaction in Spherical Immobilized Enzyme Particles |
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630 | (5) |
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Multiple Steady States in a Chemostat with Inhibited Microbial Growth |
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635 | (3) |
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Fitting Parameters in the Monod Equation for a Batch Culture |
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638 | (2) |
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Modeling and Analysis of Kinetics in a Chemostat |
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640 | (3) |
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Dynamic Modeling of a Chemostat |
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643 | (4) |
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Predator-Prey Dynamics of Mixed Cultures in a Chemostat |
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647 | (3) |
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Biokinetic Modeling Incorporating Imperfect Mixing in a Chemostat |
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650 | (2) |
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Dynamic Modeling of a Chemostat System with two Stages |
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652 | (3) |
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Semicontinuous Fed-Batch and Cyclic-Fed Batch Operation |
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655 | (3) |
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Optimization of Ethanol Production in a Batch Fermenter |
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658 | (2) |
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Ethanol Production in a Well-Mixed Fermenter with Cell Recycle |
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660 | (3) |
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Dynamic Modeling of an Anaerobic Digester |
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663 | (5) |
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Start-Up and Control of an Anaerobic Digester |
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668 | (5) |
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672 | (1) |
| Appendix A |
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673 | (6) |
| Appendix B |
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679 | (16) |
| Appendix C |
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695 | (2) |
| Appendix D |
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697 | (6) |
| Appendix E |
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703 | (2) |
| Appendix F |
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705 | (4) |
| Index |
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709 | |
