Preface |
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xv | |
Acknowledgements |
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xvii | |
Authors |
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xix | |
Chapter 1 Introduction to Drying |
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1 | (18) |
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1 | (1) |
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1.2 Materials and Their Characteristics |
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1 | (3) |
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2 | (1) |
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1.2.2 Water-Holding Properties |
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3 | (1) |
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1.2.3 Structural Homogeneity |
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4 | (1) |
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1.3 Common Drying Materials |
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4 | (7) |
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4 | (3) |
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1.3.1.1 Fruits and Vegetables |
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6 | (1) |
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6 | (1) |
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6 | (1) |
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7 | (1) |
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7 | (1) |
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7 | (1) |
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8 | (1) |
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8 | (1) |
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1.3.5 Chemical and Pharmaceutical Products |
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9 | (1) |
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9 | (1) |
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1.3.7 Bricks and Ceramics |
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10 | (1) |
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10 | (1) |
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1.4 Drying Phenomena and Methods |
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11 | (4) |
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1.4.1 Common Drying Methods |
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12 | (2) |
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1.4.1.1 Convective Drying |
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12 | (1) |
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13 | (1) |
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13 | (1) |
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13 | (1) |
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14 | (1) |
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14 | (1) |
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14 | (1) |
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15 | (4) |
Chapter 2 The Physics in Drying |
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19 | (30) |
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19 | (1) |
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20 | (9) |
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2.2.1 Mass Transfer-related Terminologies |
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24 | (3) |
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24 | (1) |
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2.2.1.2 Water Concentration |
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24 | (1) |
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2.2.1.3 Critical Moisture Content |
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24 | (1) |
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2.2.1.4 Equilibrium Moisture Content |
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25 | (1) |
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2.2.1.5 Moisture Sorption Isotherm |
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25 | (1) |
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2.2.1.6 Monolayer Moisture Content (MMC) |
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25 | (1) |
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25 | (1) |
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26 | (1) |
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27 | (1) |
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27 | (2) |
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27 | (1) |
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28 | (1) |
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2.2.2.3 Spatial Distribution of Water |
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28 | (1) |
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2.3 Heat Transfer Phenomena During Drying |
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29 | (9) |
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2.3.1 Conduction Heat Transfer |
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30 | (4) |
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2.3.1.1 Steady Conduction |
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31 | (1) |
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32 | (1) |
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2.3.1.3 Transient Heat Conduction |
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32 | (2) |
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2.3.2 Convection Heat Transfer |
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34 | (1) |
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2.3.3 Radiation Heat Transfer |
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35 | (3) |
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2.3.3.1 Grey Body Heat Radiation |
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37 | (1) |
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38 | (5) |
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38 | (4) |
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2.4.1.1 Transient Mass Diffusion |
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41 | (1) |
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42 | (1) |
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43 | (3) |
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46 | (3) |
Chapter 3 Governing Equations and Material Properties |
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49 | (24) |
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49 | (1) |
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3.2 Heat and Mass Transfer During Different Types of Drying |
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49 | (8) |
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50 | (1) |
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51 | (2) |
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53 | (1) |
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53 | (1) |
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3.2.5 Spray Drying Process |
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54 | (1) |
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54 | (2) |
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3.2.6.1 Maxwell's Equation for Electromagnetics |
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55 | (1) |
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56 | (1) |
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56 | (1) |
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3.2.8 Combined or Assisted Drying |
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56 | (1) |
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57 | (1) |
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57 | (1) |
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57 | (5) |
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3.3.1 Heat Transfer Boundary Conditions |
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58 | (3) |
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3.3.2 Mass Transfer Boundary Conditions |
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61 | (1) |
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3.4 Thermo-Physical and Transport Properties |
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62 | (7) |
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62 | (1) |
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62 | (1) |
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3.4.3 Specific Heat Capacity |
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63 | (1) |
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3.4.4 Thermal Conductivity |
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64 | (1) |
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65 | (1) |
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3.4.6 Dielectric Properties |
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66 | (1) |
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3.4.7 Effective Moisture Diffusivity |
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66 | (3) |
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69 | (4) |
Chapter 4 Numerical Model Formulation and Solution Approaches |
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73 | (14) |
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73 | (1) |
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4.2 Types of Mathematical Modelling of Drying |
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74 | (4) |
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4.2.1 Empirical Modelling |
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75 | (1) |
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4.2.2 Single-Phase Modelling |
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76 | (1) |
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4.2.3 Multiphase Modelling |
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76 | (1) |
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4.2.4 Micro-Scale Modelling |
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76 | (1) |
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4.2.5 Conjugated Drying Models |
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77 | (1) |
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4.2.6 Drying Model Considering Deformation |
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77 | (1) |
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4.2.7 Multiscale Modelling |
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78 | (1) |
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78 | (3) |
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4.3.1 Finite Element Method (FEM) |
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78 | (2) |
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4.3.2 Finite Volume Method (FVM) |
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80 | (1) |
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4.3.3 Finite Difference Method (FDM) |
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80 | (1) |
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4.3.4 Discrete Element Methods (DEM) |
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80 | (1) |
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4.4 Computational Platforms and Validation |
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81 | (3) |
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4.4.1 User-Developed Code |
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81 | (1) |
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4.4.2 Computational Software |
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81 | (2) |
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4.4.3 Validation of the Models |
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83 | (1) |
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84 | (3) |
Chapter 5 Empirical Modelling of Drying |
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87 | (18) |
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87 | (1) |
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87 | (2) |
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5.2.1 Simple Linear Regression |
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87 | (1) |
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5.2.2 Multiple Linear Regression |
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88 | (1) |
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5.2.3 Non-Linear Regression |
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88 | (1) |
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5.3 Empirical Modelling for the Drying Process |
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89 | (5) |
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5.3.1 Important Considerations of the Empirical Model |
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89 | (1) |
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5.3.2 Drying Kinetics Models |
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90 | (2) |
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92 | (2) |
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5.3.4 Semi-Empirical Models |
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94 | (3) |
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5.3.4.1 Models Derived from Newton's Law of Cooling |
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94 | (1) |
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5.3.4.2 Fick's Law Based Semi-Empirical Models |
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94 | (1) |
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5.4 Quality Kinetics Model |
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94 | (3) |
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5.5 Validation and Interpreting Regression Models Output |
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97 | (3) |
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5.5.1 Regression Coefficients |
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97 | (9) |
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98 | (1) |
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98 | (1) |
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98 | (1) |
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5.5.1.4 Standard Deviation (SD) |
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99 | (1) |
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5.5.1.5 Sum Square Error (SSE) |
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99 | (1) |
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5.5.1.6 Root Mean Square Error (RMSE) |
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99 | (1) |
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100 | (1) |
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100 | (5) |
Chapter 6 Single-Phase Diffusion Model |
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105 | (16) |
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105 | (1) |
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106 | (3) |
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6.2.1 Geometry and Meshing |
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106 | (1) |
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6.2.1.1 Meshing Grid Dependency |
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106 | (1) |
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107 | (1) |
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6.2.3 Governing Equations |
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107 | (1) |
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108 | (1) |
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108 | (1) |
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6.2.4 Initial and Boundary Conditions |
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108 | (1) |
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6.2.4.1 Heat Transfer Boundary Conditions |
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109 | (1) |
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6.2.4.2 Mass Transfer Boundary Condition |
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109 | (1) |
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109 | (6) |
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6.3.1 Equilibrium Vapour Pressure |
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111 | (1) |
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6.3.2 Effective Moisture Diffusivity |
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111 | (1) |
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6.3.3 Temperature-Dependent Effective Diffusivity Calculation |
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112 | (1) |
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6.3.4 Moisture-Dependent Effective Diffusivity |
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113 | (1) |
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6.3.5 Average Effective Moisture Diffusivity |
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113 | (1) |
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6.3.6 Heat and Mass Transfer Coefficient Calculation |
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114 | (1) |
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114 | (1) |
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6.4 Typical Simulation Results |
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115 | (3) |
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6.4.1 Effective Moisture Diffusivity |
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115 | (1) |
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6.4.2 Average Moisture Content |
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115 | (2) |
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6.4.3 Temperature Evolution |
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117 | (1) |
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118 | (3) |
Chapter 7 Multiphase Porous Materials Modeling |
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121 | (20) |
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121 | (1) |
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121 | (1) |
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121 | (1) |
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122 | (1) |
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7.2 Feature of Multiphase Drying Model |
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122 | (2) |
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7.2.1 Meaning of Multiphase |
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122 | (1) |
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7.2.2 Representative Elementary Volume |
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123 | (1) |
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7.2.3 Driving Forces of Mass Transfer |
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123 | (1) |
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124 | (1) |
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124 | (5) |
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7.3.1 Conservation of Mass |
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124 | (3) |
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7.3.1.1 Mass Conservation of Liquid Water |
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125 | (1) |
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7.3.1.2 Mass Conservation of Water Vapour |
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126 | (1) |
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7.3.1.3 Mass Fraction of Air |
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127 | (1) |
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7.3.2 Continuity Equation to Solve for Pressure |
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127 | (1) |
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128 | (1) |
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7.3.4 Initial and Boundary Conditions |
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128 | (1) |
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7.3.4.1 Initial Conditions |
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128 | (1) |
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7.3.4.2 Boundary Condition |
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128 | (1) |
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129 | (5) |
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7.4.1 Thermo-Physical Properties |
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129 | (2) |
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7.4.2 Porous Structure-Related Properties |
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131 | (2) |
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131 | (1) |
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131 | (1) |
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7.4.2.3 Capillary Diffusivity of Liquid Water |
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132 | (1) |
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7.4.3 Gas-Related Properties |
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133 | (1) |
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7.4.3.1 The Viscosity of Water and Gas |
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133 | (1) |
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7.4.3.2 Effective Gas Diffusivity |
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133 | (1) |
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7.4.4 Drying Air Condition (Relative Humidity) |
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134 | (1) |
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7.5 Typical Simulation Results |
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134 | (3) |
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7.5.1 Average Moisture Content |
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134 | (1) |
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7.5.2 Liquid and Gas Saturation |
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135 | (1) |
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7.5.3 Temperature Evolution and Distribution |
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135 | (1) |
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7.5.4 Evaporation Rate and Vapour Pressure |
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136 | (1) |
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7.6 Challenges and Possible Simplifications |
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137 | (1) |
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137 | (1) |
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137 | (1) |
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7.6.1.2 Properties of Porous Material |
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137 | (1) |
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138 | (1) |
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138 | (3) |
Chapter 8 Micro-Scale Drying Model |
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141 | (14) |
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141 | (4) |
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8.1.1 Defining Micro-Scale |
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142 | (1) |
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142 | (1) |
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8.1.3 Transport Phenomena at the Micro-Scale |
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143 | (1) |
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8.1.4 Micro-Scale Modelling Approaches |
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144 | (1) |
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145 | (1) |
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145 | (1) |
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8.2 FEM Approach of Micro-Scale Modelling |
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145 | (4) |
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146 | (1) |
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8.2.2 Initial and Boundary Conditions |
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146 | (1) |
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147 | (2) |
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8.3 Typical Results and Discussion |
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149 | (1) |
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8.3.1 Temperature Distribution |
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149 | (1) |
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8.3.2 Moisture Distribution |
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150 | (1) |
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8.4 Challenges in Micro-Scale Modelling |
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150 | (2) |
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151 | (1) |
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8.4.2 Boundary Conditions |
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151 | (1) |
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8.4.3 Unavailability of Micro-Level Properties |
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151 | (1) |
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8.4.4 Too Much Information |
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151 | (1) |
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8.4.5 Higher Computational Cost |
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151 | (1) |
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152 | (3) |
Chapter 9 CFD Modelling of Drying Phenomena |
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155 | (12) |
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155 | (3) |
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9.1.1 Fluid Flow in the Drying |
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155 | (1) |
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9.1.2 Computational Fluid Dynamics |
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156 | (2) |
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9.1.3 Conjugate Drying Model |
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158 | (1) |
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158 | (1) |
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9.2 CFD-Coupled Heat and Mass Transfer Model |
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158 | (4) |
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9.2.1 Governing Equations |
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159 | (2) |
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160 | (1) |
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9.2.2 Boundary Conditions |
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161 | (1) |
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162 | (1) |
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9.3 Typical Results and Discussion |
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162 | (3) |
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9.3.1 Temperature Distribution |
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162 | (1) |
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9.3.2 Liquid Water Content |
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163 | (1) |
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163 | (1) |
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164 | (1) |
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165 | (2) |
Chapter 10 Modelling of Deformation During Drying |
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167 | (16) |
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167 | (1) |
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10.2 Factors Associated with Deformation during Drying |
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168 | (2) |
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10.2.1 Water Migration and Distribution |
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168 | (1) |
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10.2.2 Structural Mobility |
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169 | (1) |
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10.2.3 Phase Transition (Multiphase) |
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170 | (1) |
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10.3 Mathematical Models for Deformation |
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170 | (7) |
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171 | (2) |
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10.3.2 Semi-Theoretical Models |
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173 | (2) |
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10.3.3 Theoretical Models |
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175 | (2) |
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177 | (2) |
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10.4.1 Moisture Dependent on Internal Stress |
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177 | (1) |
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10.4.2 Appropriate Material Model |
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177 | (1) |
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10.4.3 Real-Time Mechanical Properties |
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178 | (1) |
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10.4.4 Coupling of Deformation and Transport Phenomena |
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178 | (1) |
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10.4.5 Multiscale Nature of Deformation |
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179 | (1) |
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179 | (4) |
Chapter 11 Multiscale Drying Modelling Approaches |
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183 | (14) |
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183 | (4) |
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11.1.1 The Hierarchical Structure of Materials |
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183 | (2) |
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11.1.2 Structure-Properties-Drying Kinetics Relationship |
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185 | (1) |
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11.1.3 Imaging: Structure and Properties Quantification |
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186 | (1) |
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11.2 Modelling at a Different Scale |
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187 | (2) |
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11.2.1 Atomic Scale Simulation |
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188 | (1) |
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11.2.2 Molecular Dynamics Simulations |
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188 | (1) |
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11.2.2.1 Monte Carlo Methods |
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189 | (1) |
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11.2.2.2 Coarse-Grained Models |
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189 | (1) |
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11.2.2.3 Lattice-Boltzmann Method |
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189 | (1) |
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11.3 Multiscale Modelling Approaches: Bridging between Scales |
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189 | (3) |
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11.3.1 Problem Formulation |
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190 | (2) |
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11.3.1.1 Concurrent Approach |
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190 | (1) |
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11.3.1.2 Hierarchical Approach |
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191 | (1) |
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11.3.1.3 Hybrid Multiscale Modelling |
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191 | (1) |
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192 | (1) |
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11.4 Challenges in Current Multiscale Paradigms |
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192 | (1) |
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11.5 Prospects: Multiscale Modelling-Artificial Intelligence Integration |
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193 | (1) |
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194 | (3) |
Index |
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197 | |