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1 Cryogenic Principles and Applications |
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1 | (16) |
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2 | (2) |
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1.2 Historical Background |
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4 | (3) |
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1.3 Applications for Cryogenics |
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7 | (2) |
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9 | (8) |
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1.4.1 First and Second Laws of Thermodynamics |
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9 | (5) |
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1.4.2 Third Law of Thermodynamics |
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14 | (2) |
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16 | (1) |
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2 Low-Temperature Materials Properties |
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17 | (42) |
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18 | (8) |
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2.1.1 Lattice Heat Capacity |
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19 | (4) |
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2.1.2 Electronic Heat Capacity |
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23 | (1) |
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2.1.3 Heat Capacity of Special Materials |
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24 | (2) |
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26 | (3) |
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2.3 Conductivities: Electrical and Thermal |
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29 | (13) |
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2.3.1 Electrical Resistivity of Metals |
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30 | (2) |
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2.3.2 Magneto-Resistance in Metals |
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32 | (2) |
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2.3.3 Electrical Conductivity of Semiconductors |
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34 | (1) |
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2.3.4 Thermal Conductivity of Metals |
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34 | (3) |
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2.3.5 Lattice Thermal Conductivity |
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37 | (2) |
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39 | (3) |
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2.4 Mechanical Properties |
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42 | (2) |
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44 | (15) |
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2.5.1 Type I Superconductivity |
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45 | (5) |
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2.5.2 Type II Superconductivity |
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50 | (6) |
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56 | (1) |
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57 | (2) |
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3 Helium as a Classical Fluid |
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59 | (26) |
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59 | (2) |
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61 | (8) |
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3.2.1 Intermolecular Interactions |
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62 | (2) |
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64 | (3) |
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3.2.3 Empirical Equations of State |
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67 | (2) |
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3.3 State Properties of Liquid He I |
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69 | (7) |
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70 | (2) |
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72 | (2) |
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74 | (1) |
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75 | (1) |
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3.4 Transport Properties of Gaseous and Liquid He I |
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76 | (9) |
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3.4.1 Modeling Transport Properties |
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77 | (2) |
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3.4.2 Transport Properties |
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79 | (5) |
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84 | (1) |
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84 | (1) |
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4 Classical Helium Fluid Mechanics |
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85 | (30) |
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4.1 Single Phase Internal Flow |
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86 | (6) |
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4.1.1 General Considerations |
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86 | (2) |
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4.1.2 One Dimensional Internal Flow |
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88 | (4) |
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92 | (5) |
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4.2.1 Compressible Fluid Mechanics |
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92 | (2) |
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4.2.2 Experimental Confirmation |
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94 | (3) |
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4.3 Helium Two-Phase Flow |
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97 | (11) |
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4.3.1 Flow Regimes and Transitions |
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97 | (3) |
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4.3.2 Pressure Drop Correlations |
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100 | (3) |
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4.3.3 Natural Circulation Loops |
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103 | (5) |
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4.4 Flow Through Porous Media |
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108 | (7) |
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113 | (1) |
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114 | (1) |
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5 Classical Helium Heat Transfer |
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115 | (48) |
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5.1 Regimes of Heat Transfer |
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117 | (3) |
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5.2 Convective Heat Transfer |
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120 | (3) |
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5.3 Nucleate Boiling Heat Transfer |
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123 | (11) |
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124 | (3) |
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5.3.2 Heat Transfer Correlations |
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127 | (3) |
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5.3.3 Maximum Nucleate Boiling Heat Flux |
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130 | (4) |
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134 | (5) |
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5.4.1 Minimum Film Boiling Heat Flux |
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135 | (3) |
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5.4.2 Heat Transfer Correlations |
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138 | (1) |
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139 | (1) |
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5.6 Channel Heat Transfer |
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140 | (6) |
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5.7 Forced Convection Heat Transfer |
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146 | (5) |
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5.7.1 General Considerations |
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146 | (1) |
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5.7.2 Heat Transfer Correlations |
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147 | (3) |
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5.7.3 Two Phase Flow Heat Transfer |
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150 | (1) |
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5.8 Transient Heat Transfer |
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151 | (12) |
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5.8.1 Surface Temperature Difference |
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154 | (3) |
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5.8.2 Transition to Film Boiling |
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157 | (2) |
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159 | (2) |
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161 | (2) |
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6 Helium as a Quantum Fluid |
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163 | (64) |
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165 | (10) |
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6.1.1 Density of an Ideal Bose Gas |
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168 | (2) |
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6.1.2 Internal Energy of an Ideal Bose Gas |
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170 | (1) |
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6.1.3 Specific Heat of an Ideal Bose Gas |
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171 | (1) |
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6.1.4 Vapor Pressure of an Ideal Bose Gas |
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172 | (2) |
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6.1.5 Latent Heat of an Ideal Bose Gas |
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174 | (1) |
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6.2 Liquid He II Properties |
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175 | (8) |
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6.2.1 State Properties of He II |
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176 | (3) |
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6.2.2 Transport Properties of He II |
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179 | (2) |
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181 | (2) |
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183 | (3) |
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186 | (17) |
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6.4.1 Equations of Motion |
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188 | (3) |
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6.4.2 Thermomechanical Effect |
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191 | (2) |
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193 | (4) |
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197 | (3) |
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200 | (3) |
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6.5 Vortices and Turbulence in He II |
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203 | (24) |
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6.5.1 Helium II in Rotation |
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203 | (4) |
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6.5.2 Critical Velocities |
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207 | (6) |
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213 | (4) |
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6.5.4 Steady-State Heat Transport |
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217 | (1) |
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6.5.5 Forced Convection Heat Transport |
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218 | (1) |
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6.5.6 Attenuation of Second Sound |
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219 | (2) |
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6.5.7 Development of Turbulence |
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221 | (1) |
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222 | (3) |
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225 | (1) |
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226 | (1) |
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7 He II Heat and Mass Transfer |
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227 | (90) |
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7.1 Steady-State He II Heat Transport in Wide Channels |
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229 | (22) |
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7.1.1 He II Heat Conductivity Function |
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230 | (2) |
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7.1.2 Peak Heat Flux in Wide Channels |
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232 | (103) |
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7.1.3 Peak Heat Flux in Saturated He II |
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335 | |
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7.1.4 He II Heat Transfer in Cylindrical Geometries |
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239 | (2) |
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7.1.5 Static Bath He II Heat Exchangers |
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241 | (6) |
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7.1.6 He II Two Phase Heat Transfer and Flow |
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247 | (4) |
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7.2 Transient Heat Transport in Wide Channels |
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251 | (10) |
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7.2.1 He II Diffusion Equation |
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253 | (2) |
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7.2.2 Analytic Solution Methods |
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255 | (3) |
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7.2.3 Numerical Solution of the He II Diffusion Equation |
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258 | (3) |
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7.3 Forced Convection Heat Transport in Wide Channels |
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261 | (9) |
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7.3.1 He II Energy Equation |
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262 | (1) |
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7.3.2 Steady State Heat Transport: Analytic Solution |
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263 | (2) |
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7.3.3 Pressure Drop in Turbulent He II |
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265 | (2) |
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7.3.4 He II Joule Thomson Effect |
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267 | (1) |
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7.3.5 Transient Heat Transport in Forced Flow He II: Numerical Solution |
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268 | (2) |
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7.4 Heat and Mass Transfer in Porous Media |
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270 | (8) |
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7.4.1 Steady Laminar Heat Transport in He II |
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270 | (3) |
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7.4.2 He II Heat and Mass Transfer Through Porous Media |
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273 | (2) |
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7.4.3 He II Fountain Pumps |
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275 | (2) |
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7.4.4 He II Vapor: Liquid Phase Separators |
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277 | (1) |
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278 | (17) |
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7.5.1 Phonon Radiation Limit |
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280 | (5) |
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7.5.2 Acoustic Mismatch Theory |
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285 | (4) |
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7.5.3 Small Heat Flux Kapitza Conductance (ΔT<<T) |
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289 | (3) |
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7.5.4 Large Heat Flux Kapitza Conductance (ΔTT) |
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292 | (3) |
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7.6 Film Boiling Heat Transfer |
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295 | (22) |
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7.6.1 Film Boiling Heat Transfer Experiments |
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296 | (5) |
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7.6.2 Theoretical Models for Film Boiling Heat Transfer |
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301 | (6) |
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7.6.3 Transient Film Boiling Heat Transfer |
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307 | (4) |
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311 | (4) |
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315 | (2) |
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8 Liquefaction and Refrigeration Systems |
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317 | (60) |
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318 | (5) |
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8.2 First Law of Steady Flows |
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323 | (1) |
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8.3 Isenthalpic Expansion |
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324 | (18) |
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8.3.1 Joule-Thomson Effect |
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324 | (4) |
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8.3.2 Joule-Thomson Coefficient of Real Gases |
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328 | (4) |
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8.3.3 Joule-Thomson Liquefier |
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332 | (5) |
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8.3.4 Cascade JT Liquefier |
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337 | (1) |
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338 | (4) |
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342 | (8) |
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343 | (6) |
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8.4.2 Collins Helium Liquefaction System |
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349 | (1) |
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8.5 Closed-Cycle Refrigeration |
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350 | (8) |
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8.5.1 Isothermal Refrigeration |
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353 | (1) |
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8.5.2 Isobaric Refrigeration |
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354 | (4) |
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8.6 Regenerative Referigeration Cycles |
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358 | (9) |
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359 | (3) |
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8.6.2 Gifford McMahon Cycle |
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362 | (2) |
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8.6.3 Pulse Tube Cryocoolers |
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364 | (1) |
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8.6.4 Hybrid Helium Liquefiers |
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365 | (2) |
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8.7 Nonideal Refrigeration Components |
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367 | (1) |
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8.8 Refrigeration Technology |
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368 | (3) |
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371 | (6) |
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375 | (1) |
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375 | (2) |
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9 3He and Refrigeration Below 1 K |
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377 | (16) |
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9.1 Properties of Pure 3He |
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378 | (2) |
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9.2 3He-4He Mixtures and Dilution Refrigeration |
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380 | (3) |
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9.3 Statistical Models for Pure 3He |
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383 | (3) |
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9.4 Submillikelvin Refrigeration |
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386 | (2) |
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388 | (5) |
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392 | (1) |
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392 | (1) |
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10 Special Topics in Helium Cryogenics |
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393 | (38) |
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393 | (12) |
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394 | (1) |
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395 | (2) |
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10.1.3 Radiation Heat Transfer |
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397 | (5) |
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10.1.4 Multilayer Insulation (MLI) |
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402 | (2) |
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10.1.5 Powder Insulations |
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404 | (1) |
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405 | (9) |
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10.2.1 Adsorption Thermodynamics |
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406 | (6) |
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10.2.2 Physical Properties of Helium Films |
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412 | (2) |
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10.3 Magnetic Refrigeration |
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414 | (17) |
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10.3.1 Paramagnetic Materials |
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415 | (5) |
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10.3.2 Thermodynamics of Magnetic Refrigeration |
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420 | (4) |
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10.3.3 Continuous Magnetic Refrigerators |
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424 | (2) |
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10.3.4 Nuclear Demagnetization |
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426 | (2) |
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428 | (1) |
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429 | (2) |
| Appendix 1 Compressibility Factor for Helium |
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431 | (4) |
| Appendix 2 Properties of Liquid Helium |
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435 | (12) |
| Appendix 3 He II Heat Conductivity Function |
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447 | (2) |
| Appendix 4 Temperature-Entropy Diagrams for Helium |
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449 | (2) |
| Appendix 5 T-S Diagrams in He II Region |
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451 | (4) |
| Appendix 6 Helium T-S Diagrams |
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455 | (6) |
| Index |
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461 | (8) |
| About the Author |
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469 | |