1 Fundamentals of Nanoparticle Flow and Heat Transfer |
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1 | (46) |
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1 | (7) |
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1.1.1 The "Size" of Particles |
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2 | (2) |
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1.1.2 Heterogeneous Mixtures |
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4 | (1) |
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1.1.3 Time Scales, Length Scales, and Dimensionless Groups |
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5 | (3) |
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1.2 Continuum and Molecular Modeling |
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8 | (6) |
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1.2.1 The Continuum Hypothesis |
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8 | (3) |
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11 | (3) |
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1.3 Hydrodynamic Drag on a Nano-Sphere |
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14 | (17) |
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1.3.1 Fundamental Equations in Continuum Theory |
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14 | (4) |
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1.3.2 The Knudsen Number for Particles |
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18 | (2) |
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1.3.3 Slip Parameter and the Cunningham Factor |
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20 | (4) |
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1.3.4 Drag on Irregular and Porous Particles |
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24 | (2) |
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1.3.5 Terminal Velocity of Nanoparticles |
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26 | (1) |
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27 | (3) |
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30 | (1) |
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1.3.8 Other Effects on the Hydrodynamic Force |
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31 | (1) |
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1.4 Heat and Mass Transfer |
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31 | (9) |
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1.4.1 Steady Convection for Spheres in Stokesian Flow |
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32 | (1) |
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1.4.2 Knudsen Number Effects |
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33 | (2) |
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35 | (1) |
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1.4.4 Heat Transfer from Non-spherical Particles |
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36 | (2) |
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38 | (2) |
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1.4.6 Other Effects on the Heat Transfer |
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40 | (1) |
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40 | (7) |
2 Characteristics of Nanofluids |
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47 | (44) |
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2.1 Methods of Preparation and Processing |
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47 | (6) |
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2.1.1 Preparation of Nanoparticles |
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48 | (1) |
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2.1.2 Preparation of Nanofluids |
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49 | (2) |
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2.1.3 Particle Size Statistics |
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51 | (2) |
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2.2 Surface-to-Volume Ratio |
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53 | (1) |
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54 | (10) |
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58 | (2) |
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2.3.2 Thermophoretic Migration and Redistribution of Particles |
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60 | (2) |
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2.3.3 Measurement of the Hydrodynamic Radius: Centrifuging |
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62 | (2) |
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2.4 Electrical Effects, the Double Layer |
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64 | (5) |
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66 | (1) |
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67 | (2) |
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69 | (8) |
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2.5.1 Kinetics of Aggregation |
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71 | (2) |
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2.5.2 Shear-Induced Aggregation |
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73 | (2) |
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2.5.3 Fractal Dimensions of Aggregates |
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75 | (2) |
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77 | (11) |
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2.6.1 Lagrangian Point-Source Modeling |
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77 | (2) |
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2.6.2 One-Way Coupling Simulations for Nanoparticles |
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79 | (2) |
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2.6.3 Lagrangian, Resolved-Particle Model |
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81 | (3) |
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2.6.4 Eulerian Homogeneous Model |
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84 | (2) |
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2.6.5 Eulerian, Two-Fluid Model |
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86 | (2) |
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88 | (3) |
3 Thermodynamic Properties |
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91 | (26) |
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3.1 Density and Coefficient of Expansion |
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92 | (4) |
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3.1.1 The Coefficients of Expansion for a Mixture |
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93 | (3) |
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3.2 Extensive and Specific Properties |
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96 | (11) |
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3.2.1 Enthalpy, Internal Energy, and Entropy |
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96 | (3) |
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3.2.2 Specific Heat Capacity of Mixtures |
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99 | (2) |
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3.2.3 Specific Heat Capacity of Nanofluids |
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101 | (4) |
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3.2.4 A Note on the Specific Heat Capacity of the Solid Phase |
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105 | (2) |
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3.3 Effect of Pressure and Temperature on the Thermodynamic Properties of Nanofluids |
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107 | (7) |
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114 | (3) |
4 Viscosity |
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117 | (46) |
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119 | (7) |
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4.1.1 The Viscosity of Homogeneous Fluids |
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119 | (3) |
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4.1.2 The Effective Viscosity of Solid-Liquid Suspensions |
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122 | (2) |
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4.1.3 Intrinsic Viscosity |
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124 | (1) |
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4.1.4 Viscosity of Suspensions of Spheroidal Particles |
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125 | (1) |
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4.2 Experimental Results: Newtonian Suspensions |
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126 | (16) |
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4.2.1 Types of Viscometers for Newtonian Fluids |
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128 | (2) |
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4.2.2 Measurements with Heterogeneous, Newtonian Suspensions |
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130 | (3) |
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4.2.3 Experimental Studies and Correlations for Nanofluids |
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133 | (6) |
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4.2.4 General Issues and Recommendations on the Correlations |
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139 | (3) |
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4.3 Rheology of Solid-Liquid Suspensions |
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142 | (10) |
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4.3.1 Rheological Characteristics of Materials |
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142 | (2) |
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4.3.2 Rheology of Nanofluids |
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144 | (3) |
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4.3.3 Viscosity of CNT Nanofluids |
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147 | (1) |
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4.3.4 General Observations for Non-Newtonian Nanofluids |
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148 | (2) |
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4.3.5 Drag and Heat Transfer of Spheres in Non-Newtonian Fluids |
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150 | (2) |
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152 | (6) |
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4.4.1 Friction Factor with Slip at the Wall |
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152 | (3) |
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4.4.2 Experimental Results for the Friction Factor |
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155 | (2) |
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157 | (1) |
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158 | (5) |
5 Thermal Conductivity |
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163 | (64) |
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165 | (13) |
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5.1.1 Thermal Conductivity of Fluids |
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165 | (3) |
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5.1.2 Thermal Conductivity of Solids |
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168 | (2) |
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5.1.3 Thermal Conductivity of Suspensions |
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170 | (8) |
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5.2 Methods of Conductivity Measurement |
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178 | (5) |
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178 | (3) |
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5.2.2 Transient Plate Source |
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181 | (1) |
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181 | (1) |
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5.2.4 Steady Conduction Between Plates or Cylinders |
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182 | (1) |
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183 | (1) |
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183 | (14) |
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5.3.1 Thermal Conductivity of Heterogeneous Suspensions |
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83 | (104) |
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5.3.2 Experimental Data with CNT |
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187 | (2) |
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5.3.3 Experimental Data with Metals |
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189 | (1) |
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5.3.4 Experimental Data with Metal Oxides |
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190 | (3) |
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5.3.5 A Benchmark Study on Thermal Conductivity |
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193 | (2) |
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5.3.6 Temperature Dependence |
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195 | (2) |
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5.4 Mechanisms of Thermal Conductivity Enhancement in Nanofluids |
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197 | (18) |
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5.4.1 Particle Conductivity |
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197 | (1) |
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5.4.2 Formation of an Interfacial Solid Layer |
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198 | (2) |
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5.4.3 Electric Surface Charge |
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200 | (1) |
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201 | (4) |
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5.4.5 Transient Contributions |
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205 | (2) |
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5.4.6 Particle Shape, Distribution, Size, and Formation of Aggregates |
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207 | (2) |
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5.4.7 Preparation and Surfactants |
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209 | (4) |
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5.4.8 Thermal Waves and Phonons |
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213 | (1) |
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214 | (1) |
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5.5 Experimental Correlations |
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215 | (3) |
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5.5.1 A Note on the Correlations for Thermal Conductivity |
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217 | (1) |
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218 | (9) |
6 Convection and Boiling |
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227 | (52) |
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228 | (9) |
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6.1.1 General Expressions |
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228 | (1) |
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6.1.2 The Boundary Layer Approximation |
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229 | (2) |
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6.1.3 Flow in Channels: Developed Flow |
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231 | (2) |
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6.1.4 Laminar Velocity and Temperature Profiles |
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233 | (1) |
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6.1.5 Two Analytical Solutions for the Temperature Profile |
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234 | (2) |
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6.1.6 Nusselt Numbers for Channels and Tubes |
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236 | (1) |
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6.2 Convection with Particulate Suspensions |
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237 | (6) |
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6.2.1 A Model for the Convection in Fluid-Solid Suspensions |
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239 | (4) |
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6.3 Convection with Nanofluids |
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243 | (13) |
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6.3.1 Laminar Flow Experiments |
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243 | (4) |
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6.3.2 Laminar Flow Numerical and Analytical Results |
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247 | (1) |
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6.3.3 Turbulent Convection |
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248 | (2) |
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6.3.4 Turbulence Modulation |
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250 | (1) |
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6.3.5 Convection vs. Friction: Figures of Merit |
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251 | (3) |
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6.3.6 Optimization of a Cooling Channel Under Constant Heat Flux |
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254 | (2) |
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256 | (4) |
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6.4.1 Natural Convection Coefficients with Nanoparticles |
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256 | (2) |
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6.4.2 Earlier Onset of Natural Convection: Effect on Conductivity Measurements |
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258 | (2) |
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6.5 Boiling and Critical Heat Flux |
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260 | (12) |
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6.5.1 Pool Boiling and Critical Heat Flux |
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261 | (3) |
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6.5.2 Pool Boiling with Nanofluids |
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264 | (2) |
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6.5.3 Forced/Convective Boiling with Nanofluids |
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266 | (5) |
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271 | (1) |
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272 | (7) |
7 Diffusivity |
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279 | (34) |
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282 | (5) |
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282 | (1) |
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7.1.2 Continuum Theory: Similarity with Heat Transfer |
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283 | (3) |
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7.1.3 Diffusivity of Suspensions |
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286 | (1) |
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7.2 Methods of Diffusivity Measurement |
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287 | (10) |
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7.2.1 Rotating Disk Diffusion Meter |
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288 | (1) |
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7.2.2 Permeation Cell with Membrane |
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289 | (2) |
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291 | (1) |
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7.2.4 Nuclear Magnetic Resonance |
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292 | (1) |
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292 | (1) |
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7.2.6 Diffusion in Narrow Tubes or Membrane Pores with Nanofluids |
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293 | (4) |
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297 | (5) |
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7.3.1 A Note on the Convective Mass Transfer Coefficients |
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297 | (1) |
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7.3.2 Experimental Studies and Results |
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298 | (3) |
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7.3.3 Conclusions on the Transport of Mass |
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301 | (1) |
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7.4 Non-equilibrium Thermodynamics of Transport Processes |
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302 | (8) |
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7.4.1 Conjugate Fluxes and Conjugate Forces |
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303 | (2) |
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7.4.2 Reciprocal Relations |
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305 | (1) |
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7.4.3 Conduction in an Anisotropic Medium |
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306 | (2) |
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7.4.4 Combined Diffusion and Conduction Processes |
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308 | (2) |
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310 | (3) |
8 Epilogue |
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313 | (20) |
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8.1 Cost of Nanofluids and Investment Climate |
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314 | (4) |
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8.1.1 Cost of Nanoparticles and Nanofluids |
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314 | (2) |
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8.1.2 Nanotechnology Investments Between 2000 and 2014 |
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316 | (2) |
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8.2 Realistic Applications of Nanofluids |
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318 | (6) |
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8.2.1 Cooling of Electronic Components |
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319 | (1) |
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8.2.2 Nuclear Reactor Cooling |
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320 | (1) |
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8.2.3 Engine Coolants for Vehicles |
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321 | (1) |
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8.2.4 Waste Energy Utilization, Solar Energy, and HVAC |
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322 | (1) |
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8.2.5 Cooling of Electricity Transformers and Other Power Elements |
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323 | (1) |
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8.2.6 Mass Transfer Applications |
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323 | (1) |
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8.3 Technological Challenges |
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324 | (3) |
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8.3.1 Stability, Particle Sedimentation/Removal, System Reliability |
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324 | (1) |
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8.3.2 Environmental and Health Concerns |
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325 | (2) |
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8.4 Observations and Recommendations |
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327 | (4) |
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331 | (2) |
Index |
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333 | |