| Preface |
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xvii | |
| Acknowledgements |
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xxi | |
| Author |
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xxiii | |
| Nomenclature |
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xxv | |
| 1 Introduction to Modelling and Simulation |
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1 | (16) |
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1 | (5) |
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1.1.1 Unit Process: Fixed Bed |
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2 | (2) |
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1.1.2 Sulphuric Acid Plant |
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4 | (1) |
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1.1.3 Complex Nature of Chemical Processes |
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5 | (1) |
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6 | (6) |
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1.2.1 Types of Simulation |
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7 | (1) |
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1.2.1.1 Steady-State Simulation |
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7 | (1) |
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1.2.1.2 Dynamic Simulation |
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7 | (1) |
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1.2.1.3 Stochastic Simulation (Monte Carlo Simulation) |
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7 | (1) |
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1.2.1.4 Discrete-Event Simulation |
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8 | (1) |
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1.2.1.5 Molecular Simulation |
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8 | (1) |
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1.2.2 Applications of Simulation in Chemical Engineering |
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8 | (4) |
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1.2.2.1 Process Synthesis |
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9 | (1) |
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9 | (1) |
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9 | (1) |
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10 | (1) |
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1.2.2.5 Process Operation |
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10 | (1) |
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11 | (1) |
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11 | (1) |
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1.2.2.8 Personnel Training |
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11 | (1) |
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12 | (3) |
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12 | (2) |
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1.3.2 Role of Modelling in Simulation |
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14 | (1) |
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1.3.3 Limitations of Models |
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14 | (1) |
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15 | (1) |
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15 | (2) |
| 2 An Overview of Modelling and Simulation |
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17 | (36) |
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2.1 Strategy for Simulation |
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18 | (7) |
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18 | (1) |
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2.1.2 Understanding the Process |
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18 | (1) |
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19 | (1) |
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2.1.4 Software Selection: Factors Affecting the Selection |
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20 | (4) |
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20 | (1) |
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20 | (1) |
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2.1.4.3 Trained Personnel |
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20 | (1) |
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20 | (4) |
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2.1.5 Solution of Model Equations |
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24 | (1) |
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24 | (1) |
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24 | (1) |
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2.2 Approaches for Model Development |
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25 | (2) |
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27 | (8) |
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2.3.1 Deterministic Models |
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28 | (1) |
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2.3.2 Lumped Parameter Models |
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28 | (1) |
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2.3.3 Distributed Parameter Models |
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29 | (2) |
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2.3.4 Steady-State Models |
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31 | (1) |
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31 | (1) |
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31 | (1) |
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2.3.7 Population Balance Models |
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32 | (1) |
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32 | (1) |
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2.3.9 Discrete-Event Models |
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32 | (1) |
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2.3.10 Artificial Neural Network-Based Models |
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33 | (1) |
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34 | (1) |
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2.4 Types of Equations in a Model and Solution Strategy |
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35 | (4) |
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2.4.1 Algebraic Equations |
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36 | (1) |
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2.4.2 Differential Equations |
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37 | (2) |
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2.4.3 Differential-Algebraic Equations |
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39 | (1) |
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39 | (3) |
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2.5.1 Empirical Equations |
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40 | (1) |
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2.5.2 Equations Based on Theoretical Concepts |
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40 | (1) |
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2.5.3 Consistency Equations |
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41 | (1) |
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2.5.4 Differential Equations Using Laws of Conservation |
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41 | (1) |
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2.5.5 Integration over Area, Volume and Time |
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42 | (1) |
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42 | (1) |
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42 | (8) |
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43 | (1) |
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2.6.2 Combination of Simple and Rigorous Models |
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44 | (1) |
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2.6.3 Uniform Probability Distribution |
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45 | (1) |
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2.6.4 Parallel Mechanisms |
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45 | (1) |
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2.6.5 Analogy to Electrical Circuits |
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46 | (1) |
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47 | (1) |
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2.6.7 Boundary Layer Approximation |
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48 | (1) |
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2.6.8 Order of Magnitude Approximation |
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49 | (1) |
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49 | (1) |
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2.6.10 Finite and Infinite Dimensions |
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50 | (1) |
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50 | (1) |
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51 | (2) |
| 3 Models Based on Simple Laws |
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53 | (26) |
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53 | (3) |
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53 | (1) |
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3.1.2 Cubic Equations of State |
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54 | (2) |
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56 | (1) |
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3.3 Newton's Law of Viscosity |
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57 | (2) |
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3.4 Fourier's Law of Heat Conduction |
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59 | (1) |
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60 | (1) |
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61 | (1) |
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62 | (3) |
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65 | (3) |
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68 | (1) |
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3.10 Adsorption Isotherms |
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68 | (1) |
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69 | (7) |
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3.11.1 Overall Heat Transfer Coefficient in a Composite Cylindrical Wall |
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69 | (1) |
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3.11.2 Cooling of a Small Sphere in a Stagnant Fluid |
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70 | (1) |
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3.11.3 Diffusion in a Stagnant Gas Film |
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71 | (2) |
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3.11.4 Diffusion-Reaction Systems |
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73 | (2) |
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3.11.5 Gas-Liquid Solid-Catalysed Reactions |
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75 | (1) |
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76 | (1) |
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77 | (2) |
| 4 Models Based on Laws of Conservation |
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79 | (50) |
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4.1 Laws of Conservation of Momentum, Mass and Energy |
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79 | (10) |
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4.1.1 Equation of Continuity |
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80 | (4) |
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4.1.2 Laws of Conservation of Momentum, Mass and Energy |
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84 | (2) |
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4.1.3 Boundary Conditions |
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86 | (3) |
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4.1.3.1 Boundary Conditions of the First Kind |
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86 | (2) |
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4.1.3.2 Boundary Conditions of the Second Kind |
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88 | (1) |
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4.1.3.3 Boundary Conditions of the Third Kind |
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88 | (1) |
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89 | (6) |
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4.2.1 Velocity Field in Laminar Flow |
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89 | (1) |
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4.2.2 Velocity Profile in Simple Geometries |
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89 | (3) |
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4.2.3 Convective Heat and Mass Transfer in Simple Geometries |
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92 | (3) |
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4.3 Boundary Layers: Momentum, Thermal and Diffusional |
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95 | (3) |
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98 | (6) |
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4.4.1 What Is Turbulence? |
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98 | (4) |
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4.4.2 Eddy Viscosity, Eddy Diffusivity and Eddy Thermal Conductivity |
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102 | (1) |
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4.4.3 Prandtl Mixing Length |
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103 | (1) |
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4.4.4 Turbulence Kinetic Energy and Length and Time Scale |
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104 | (1) |
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4.5 Surface Renewal Models at High Flux of Momentum, Mass or Heat |
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104 | (6) |
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4.5.1 Penetration Model (Higbie's Surface Renewal) |
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104 | (2) |
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4.5.2 Surface Renewal Model for Other Residence Time Distributions |
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106 | (1) |
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4.5.2.1 Danckwerts' Surface Renewal Model |
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106 | (1) |
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4.5.3 Surface Renewal Model with a Packet of Finite Length |
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106 | (3) |
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4.5.4 Coexistence of Surface Renewal and Film |
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109 | (1) |
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4.5.5 Surface Renewal with Laminar Flow in Eddies |
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109 | (1) |
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4.6 Analogy between Momentum, Mass and Heat Transfer |
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110 | (8) |
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4.6.1 Universal Velocity Profile |
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111 | (1) |
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4.6.2 The Reynolds Analogy |
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112 | (1) |
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113 | (1) |
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114 | (1) |
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4.6.5 Lin-Moultan-Putnam's Analogy Based on an Eddying Sub-Layer |
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115 | (1) |
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4.6.6 Chilton-Colburn Analogy: j Factors |
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116 | (1) |
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4.6.7 Heat and Mass Transfer Analogy in Bubble Columns |
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116 | (2) |
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4.6.8 Limitations of Analogies |
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118 | (1) |
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4.7 Simple Models for Reactors and Bioreactors |
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118 | (8) |
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4.7.1 Stirred-Tank Reactors |
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118 | (2) |
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4.7.2 Batch and Semi-Batch Reactors |
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120 | (1) |
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4.7.3 Axial Dispersion Model |
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121 | (2) |
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4.7.4 Tank in Series Model |
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123 | (1) |
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4.7.5 Modelling of Residence Time Distribution |
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124 | (2) |
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126 | (1) |
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127 | (2) |
| 5 Multiphase Systems without Reaction |
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129 | (50) |
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5.1 Consideration of a Continuous-Phase Axial Solid Profile in a Slurry Bubble Column |
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130 | (3) |
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5.2 Single Interface: The Wetted Wall Column |
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133 | (4) |
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5.3 Stationary Dispersed-Phase Systems (Gas-Solid Systems) |
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137 | (6) |
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5.3.1 Heat Transfer in Packed Beds |
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137 | (4) |
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5.3.2 Mass Transfer in Packed Beds |
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141 | (2) |
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5.4 Moving Dispersed Systems (Gas-Solid Systems): Wall-to-Bed Heat Transfer in a Fluidised Bed |
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143 | (10) |
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5.4.1 Models Based on Film Theory |
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147 | (1) |
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5.4.2 Models Based on the Surface Renewal Concept |
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148 | (5) |
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5.5 Moving Dispersed Systems (Gas-Liquid Systems): Transfer Processes in Bubble Columns |
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153 | (5) |
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5.5.1 Models Based on the Boundary Layer Concept |
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153 | (1) |
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5.5.2 Models Based on the Surface Renewal Concept |
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154 | (2) |
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5.5.3 A Unified Approach Based on Liquid Circulation Velocity |
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156 | (1) |
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5.5.4 Modified Boundary-Layer Model |
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157 | (1) |
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5.5.5 Surface Renewal with an Adjacent Liquid Layer |
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157 | (1) |
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5.6 Regions of Interest Adjacent to the Interface |
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158 | (11) |
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5.6.1 Terminal Velocity of Bubbles |
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159 | (1) |
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5.6.1.1 Terminal Velocity in a Viscosity-Dominated Regime |
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159 | (1) |
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5.6.2 Gas-Liquid Mass Transfer Coefficient |
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160 | (2) |
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5.6.3 Mass Transfer over a Flat Plate: Boundary Layer |
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162 | (2) |
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5.6.4 Simultaneous Heat and Mass Transfer: Drying of Solids |
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164 | (2) |
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5.6.5 Membrane Processes: Model for Pervaporation |
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166 | (3) |
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5.7 More Than One Mechanism of Heat Transfer: Flat-Plate Solar Collector |
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169 | (4) |
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5.8 Introducing Other Effects in Laws of Conservation |
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173 | (2) |
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173 | (1) |
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5.8.2 Electrokinetic Phenomena: Flow in Microchannels |
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174 | (1) |
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175 | (1) |
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176 | (3) |
| 6 Multiphase Systems with Reaction |
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179 | (42) |
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6.1 Development of a Model for Multiphase Reactors: Common Assumptions and Methodology |
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180 | (5) |
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6.1.1 One-Dimensional and Two-Dimensional Models |
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180 | (1) |
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6.1.2 Homogeneous and Heterogeneous Models |
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181 | (1) |
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6.1.3 Two- and Three-Fluid Models |
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181 | (2) |
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6.1.4 Thermodynamics, Kinetics, Hydrodynamics and Reactor Model |
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183 | (1) |
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6.1.5 Methodology for Model Development for Multiphase Systems |
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184 | (1) |
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185 | (11) |
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6.2.1 Isothermal Bioreactor |
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185 | (2) |
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6.2.2 The Solids as Reactant-Kinetic Models |
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187 | (3) |
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6.2.3 Catalytic Packed Bed Reactors: Reactor Models |
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190 | (9) |
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6.2.3.1 1D Pseudo-Homogeneous Model |
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191 | (1) |
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6.2.3.2 1D Heterogeneous Model |
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192 | (1) |
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6.2.3.3 2D Pseudo-Homogeneous Model |
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193 | (1) |
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6.2.3.4 2D Heterogeneous Model |
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194 | (1) |
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6.2.3.5 Unsteady-State or Dynamic Models |
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195 | (1) |
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196 | (3) |
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199 | (6) |
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6.4.1 Mechanically Agitated Slurry Reactors |
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200 | (1) |
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6.4.2 Slurry Bubble Columns |
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201 | (4) |
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6.5 Fluidised Bed Reactors |
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205 | (14) |
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6.5.1 Minimum Fluidisation Velocity |
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205 | (1) |
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206 | (1) |
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207 | (1) |
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6.5.4 Two-Phase Fluidised Bed Reactors |
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208 | (2) |
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6.5.5 Fluidised Bed Bioreactors |
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210 | (1) |
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211 | (2) |
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6.5.7 Three-Phase Fluidised Bed Bioreactors |
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213 | (2) |
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6.5.8 Dynamic Model for Three-Phase Fluidised Bed Bioreactors |
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215 | (4) |
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219 | (1) |
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220 | (1) |
| 7 Population Balance Models and Discrete-Event Models |
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221 | (26) |
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222 | (1) |
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7.2 The Complex Nature of the Dispersed Phase |
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223 | (3) |
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7.2.1 Size Variation of the Dispersed Phase |
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224 | (1) |
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7.2.2 Movement of the Dispersed Phase |
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225 | (1) |
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7.2.3 Discrete Nature of Time |
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225 | (1) |
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7.3 Population Balance Equation |
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226 | (2) |
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7.4 Probability Distribution Functions |
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228 | (3) |
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7.4.1 Normal or Gaussian Distribution |
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229 | (1) |
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7.4.2 Logarithmic Normal Distribution |
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229 | (1) |
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7.4.3 Poisson Distribution |
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229 | (1) |
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230 | (1) |
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230 | (1) |
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7.4.6 Exponential Distribution |
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231 | (1) |
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7.5 Population Balance Models: Simulation Methodology |
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231 | (13) |
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7.5.1 Discrete Form of the Population Balance Equation |
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232 | (2) |
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7.5.2 Bubble Coalescence and Breakup |
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234 | (4) |
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7.5.2.1 Bubble Coalescence due to Turbulent Eddies |
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234 | (1) |
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7.5.2.2 Bubble Coalescence for Small Bubbles |
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235 | (1) |
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7.5.2.3 Bubble Coalescence due to the Relative Velocity of Bubbles |
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236 | (1) |
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7.5.2.4 Film Drainage and Bubble Coalescence |
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236 | (2) |
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238 | (1) |
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7.5.4 Monte Carlo Simulation |
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239 | (1) |
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7.5.5 Stochastic Simulation |
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240 | (1) |
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241 | (1) |
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7.5.7 Analytical Solution of Population Balance Models |
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242 | (1) |
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243 | (1) |
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244 | (1) |
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244 | (3) |
| 8 Artificial Neural Network-Based Models |
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247 | (30) |
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8.1 Artificial Neural Networks |
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247 | (4) |
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8.1.1 Information Processing through Neurons |
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248 | (2) |
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8.1.2 Radial Basis Function Networks |
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250 | (1) |
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8.2 Development of ANN-Based Models |
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251 | (9) |
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251 | (1) |
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8.2.2 Identification of Inputs |
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252 | (2) |
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8.2.3 Choice of the Architecture |
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254 | (1) |
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255 | (2) |
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8.2.5 Performance of ANN Model |
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257 | (1) |
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257 | (1) |
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8.2.7 Over-Fitting and Under-Fitting |
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258 | (2) |
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8.3 Applications of ANNs in Chemical Engineering |
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260 | (6) |
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8.3.1 ANN-Based Correlations |
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260 | (2) |
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8.3.2 Process Modelling and Monitoring |
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262 | (2) |
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8.3.3 Pattern Recognition |
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264 | (1) |
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264 | (1) |
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265 | (1) |
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8.4 Advantages of ANN-Based Models |
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266 | (1) |
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8.5 Limitations of ANN-Based Models |
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267 | (1) |
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8.6 Hybrid Neural Networks |
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268 | (6) |
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8.6.1 Application of Hybrid Neural Networks |
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269 | (9) |
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8.6.1.1 A Hybrid ANN Model for a Bioreactor |
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270 | (1) |
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8.6.1.2 Other Applications |
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271 | (3) |
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274 | (1) |
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274 | (3) |
| 9 Model Validation and Sensitivity Analysis |
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277 | (22) |
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9.1 Model Validation: Objective |
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278 | (2) |
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278 | (1) |
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279 | (1) |
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279 | (1) |
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9.2 Model Validation Methodology |
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280 | (5) |
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9.2.1 Validating Dynamic Models |
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283 | (1) |
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9.2.2 Statistical Analysis of the Model |
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284 | (1) |
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9.2.3 Analysis of Variance |
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285 | (1) |
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285 | (4) |
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9.3.1 Direct Differential Method |
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285 | (4) |
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9.4 Global Sensitivity Measures |
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289 | (4) |
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9.4.1 Gradient-Based Global Sensitivity Measures |
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289 | (1) |
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9.4.2 Variance-Based Global Sensitivity Measures |
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289 | (3) |
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9.4.3 Determination of Variance-Based Sensitivity Indices |
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292 | (1) |
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292 | (1) |
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9.4.3.2 Fourier Amplitude Sensitivity Test |
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292 | (1) |
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9.5 Role of Sensitivity Analysis |
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293 | (4) |
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293 | (1) |
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294 | (2) |
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296 | (1) |
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297 | (1) |
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297 | (2) |
| 10 Case Studies |
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299 | (40) |
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10.1 Axial Distribution of Solids in Slurry Bubble Columns: Analytical Deterministic Models |
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300 | (7) |
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10.1.1 Validation of the Model |
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304 | (2) |
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10.1.2 Simulation Studies |
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306 | (1) |
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10.2 Conversion for a Gas-Liquid Reaction in a Shallow Bed: A Numerical Model |
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307 | (13) |
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10.2.1 Size of the Bubble Formed at the Distributor Plate |
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311 | (1) |
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10.2.2 Hydrodynamic Model |
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312 | (2) |
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10.2.3 Mass Transfer and Reactor Models |
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314 | (1) |
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314 | (3) |
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10.2.5 Simulation Studies |
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317 | (3) |
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10.2.5.1 Effects of Column Diameters . |
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317 | (1) |
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10.2.5.2 Effect of Nozzle Diameter |
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317 | (1) |
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10.2.5.3 Effect of Viscosity on Gas Holdup |
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318 | (1) |
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10.2.5.4 Surface Tension on Gas Holdup |
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319 | (1) |
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10.3 Stochastic Model to Predict Wall-to-Bed Mass Transfer in Packed and Fluidised Beds |
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320 | (11) |
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10.3.1 Improvement in Mass Transfer due to Translation of Particles |
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321 | (2) |
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10.3.2 Model for Wall-to-Bed Mass Transfer in Packed and Fluidised Beds |
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323 | (1) |
|
10.3.3 Relationship between Mass Transfer Coefficient and Improvement Coefficient |
|
|
324 | (1) |
|
10.3.4 Evaluation of IjF (Ij,b,t) and Kav |
|
|
325 | (1) |
|
10.3.5 Validation of the Model for Fluidised Beds |
|
|
326 | (3) |
|
10.3.5.1 Particle Velocities |
|
|
327 | (1) |
|
10.3.5.2 Distance of the Particle from the Wall |
|
|
328 | (1) |
|
|
|
328 | (1) |
|
10.3.6 Algorithm for Estimation of Mass Transfer Coefficient |
|
|
329 | (1) |
|
|
|
329 | (2) |
|
10.4 Artificial Neural Network Model: Heat Transfer in Bubble Columns |
|
|
331 | (4) |
|
10.4.1 Selection of Inputs |
|
|
332 | (1) |
|
10.4.2 Obtaining Experimental Data |
|
|
332 | (1) |
|
10.4.3 Architecture of ANNs |
|
|
333 | (2) |
|
|
|
335 | (1) |
|
|
|
336 | (3) |
| 11 Simulation of Large Plants |
|
339 | (28) |
|
11.1 Interconnecting Sub-Models |
|
|
341 | (1) |
|
|
|
342 | (1) |
|
11.3 Flowsheeting and Continuous Processes |
|
|
343 | (14) |
|
11.3.1 Data Input and Verification |
|
|
343 | (5) |
|
11.3.2 Thermodynamic Properties and Unit Operations Libraries |
|
|
348 | (2) |
|
|
|
350 | (4) |
|
11.3.3.1 Sequential Approach |
|
|
350 | (1) |
|
11.3.3.2 Tearing of Streams |
|
|
351 | (1) |
|
11.3.3.3 Order of Calculation |
|
|
351 | (2) |
|
11.3.3.4 Simultaneous or Equation-Solving Approach |
|
|
353 | (1) |
|
|
|
354 | (2) |
|
11.3.4.1 Choosing Modules |
|
|
354 | (1) |
|
11.3.4.2 Sequential Modular Approach |
|
|
355 | (1) |
|
11.3.4.3 Simultaneous Modular Approach |
|
|
356 | (1) |
|
|
|
356 | (1) |
|
11.3.6 Simulation Study Using a Flowsheeting Programme |
|
|
356 | (1) |
|
11.4 Short-Cut Methods and Rigorous Methods |
|
|
357 | (1) |
|
|
|
358 | (2) |
|
11.5.1 Data Input and Verification |
|
|
359 | (1) |
|
|
|
359 | (1) |
|
|
|
360 | (1) |
|
|
|
360 | (5) |
|
11.6.1 Simulation Methodology |
|
|
360 | (1) |
|
11.6.2 Scheduling of Batch Processes |
|
|
361 | (1) |
|
11.6.2.1 Standard Recipe Approach |
|
|
361 | (1) |
|
11.6.2.2 Overall Optimisation Approach |
|
|
362 | (1) |
|
11.6.3 Representation of Batch Processes |
|
|
362 | (1) |
|
11.6.3.1 State Task Network |
|
|
362 | (1) |
|
11.6.3.2 Resource Task Network |
|
|
362 | (1) |
|
11.6.4 Discrete Time Formulation |
|
|
363 | (1) |
|
11.6.5 Types of Constraints |
|
|
364 | (1) |
|
|
|
365 | (1) |
|
|
|
365 | (2) |
| Appendix A |
|
367 | (4) |
| Appendix B |
|
371 | (6) |
| Index |
|
377 | |