Preface |
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xi | |
Nomenclature |
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xiii | |
Chapter 1 Modeling of Heat Transfer |
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1 | (38) |
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1.1 The different modes of heat transfer |
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1 | (7) |
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1.1.1 Introduction and definitions |
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1 | (2) |
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3 | (2) |
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5 | (1) |
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6 | (2) |
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8 | (1) |
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1.2 Modeling heat transfer by conduction |
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8 | (25) |
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8 | (2) |
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1.2.2 Steady-state conduction |
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10 | (7) |
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1.2.3 Conduction in unsteady state |
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17 | (8) |
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1.2.4 The quadrupole method |
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25 | (8) |
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1.3 The thermal properties of a material |
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33 | (6) |
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1.3.1 Thermal conductivity |
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33 | (3) |
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1.3.2 Thermal diffusivity |
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36 | (1) |
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1.3.3 Volumetric heat capacity |
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36 | (1) |
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36 | (1) |
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37 | (2) |
Chapter 2 Tools and Methods for Thermal Characterization |
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39 | (44) |
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2.1 Measurement of temperature |
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39 | (11) |
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2.1.1 Liquid column thermometer |
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39 | (1) |
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40 | (2) |
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42 | (1) |
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2.1.4 Platinum resistance |
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43 | (1) |
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44 | (1) |
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44 | (3) |
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2.1.7 Choice of a measurement method |
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47 | (1) |
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48 | (2) |
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2.2 Tools for parameter estimation |
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50 | (33) |
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50 | (1) |
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2.2.2 Quadrupole modeling |
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50 | (5) |
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2.2.3 Dimensional analysis |
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55 | (2) |
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2.2.4 Study of reduced sensitivity |
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57 | (6) |
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2.2.5 Method for estimating parameters |
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63 | (2) |
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2.2.6 Evaluation of the estimation error due to the measurement noise |
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65 | (2) |
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2.2.7 Other sources of error |
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67 | (7) |
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2.2.8 Validity domain of a model and estimation time interval |
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74 | (6) |
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2.2.9 Choice of the temperature's origin |
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80 | (1) |
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80 | (3) |
Chapter 3 Steady-state Methods |
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83 | (34) |
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83 | (1) |
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84 | (2) |
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84 | (1) |
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3.2.2 Hypotheses and model |
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85 | (1) |
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3.2.3 Experimental design |
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86 | (1) |
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3.2.4 Practice of the measurement |
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86 | (1) |
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86 | (7) |
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86 | (1) |
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3.3.2 Hypotheses and model |
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87 | (2) |
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3.3.3 Experimental set-up |
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89 | (1) |
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3.3.4 Practice of the measurement |
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90 | (3) |
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93 | (6) |
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93 | (1) |
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3.4.2 Hypotheses and model |
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94 | (4) |
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3.4.3 Experimental set-up |
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98 | (1) |
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3.4.4 Practice of the measurement |
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98 | (1) |
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99 | (8) |
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99 | (2) |
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3.5.2 Hypotheses and model |
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101 | (1) |
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3.5.3 Experimental set-up |
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102 | (2) |
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3.5.4 Practice of the measurement |
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104 | (3) |
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107 | (10) |
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107 | (2) |
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3.6.2 Hypotheses and model |
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109 | (1) |
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3.6.3 Experimental set-up |
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110 | (1) |
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3.6.4 Practice of the measurement |
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110 | (7) |
Chapter 4 Flux/Temperature Transient Methods |
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117 | (106) |
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117 | (1) |
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117 | (11) |
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117 | (1) |
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4.2.2 Hypotheses and model |
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118 | (4) |
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4.2.3 Experimental design |
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122 | (1) |
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4.2.4 Practice of the measurement |
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122 | (3) |
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125 | (3) |
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128 | (6) |
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4.3.1 Measuring temperature |
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128 | (3) |
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4.3.2 Measurement of two temperatures |
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131 | (3) |
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134 | (8) |
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134 | (1) |
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4.4.2 Hypotheses and model |
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135 | (4) |
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139 | (1) |
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4.4.4 Practice of the measurement |
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140 | (2) |
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142 | (31) |
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142 | (4) |
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4.5.2 Hypotheses and models |
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146 | (12) |
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4.5.3 Methods for the estimation of diffusivity |
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158 | (7) |
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4.5.4 Experimental setups |
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165 | (8) |
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173 | (15) |
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4.6.1 Principle and history |
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173 | (2) |
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4.6.2 Hypotheses and model |
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175 | (2) |
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4.6.3 Identification method |
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177 | (4) |
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4.6.4 Example of an experimental setup |
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181 | (4) |
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4.6.5 Practice of the measurement |
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185 | (3) |
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188 | (10) |
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188 | (1) |
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4.7.2 Hypotheses and model |
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189 | (5) |
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194 | (1) |
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194 | (4) |
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198 | (14) |
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198 | (1) |
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4.8.2 Hypotheses and model |
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199 | (5) |
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204 | (1) |
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4.8.4 Practice of the measurement |
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205 | (7) |
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212 | (6) |
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212 | (1) |
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4.9.2 Hypotheses and model |
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213 | (2) |
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215 | (1) |
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4.9.4 Practice of the measurement |
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216 | (2) |
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218 | (5) |
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4.10.1 Differential calorimeter |
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219 | (2) |
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221 | (2) |
Chapter 5 Transient Temperature/Temperature Methods |
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223 | (34) |
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223 | (4) |
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227 | (9) |
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227 | (2) |
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5.2.2 Hypotheses and model |
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229 | (4) |
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5.2.3 Experimental set-up |
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233 | (1) |
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5.2.4 Practice of the method |
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234 | (2) |
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5.3 Cylindrical three-layer |
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236 | (14) |
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236 | (2) |
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5.3.2 Hypotheses and model |
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238 | (8) |
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5.3.3 Experimental set-up |
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246 | (1) |
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5.3.4 Experimental practice |
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247 | (3) |
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250 | (7) |
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250 | (1) |
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5.4.2 Hypotheses and model |
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251 | (3) |
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5.4.3 Experimental set-up |
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254 | (1) |
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5.4.4 Practice of the measurement |
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255 | (2) |
Chapter 6 Choice of an Adapted Method |
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257 | (10) |
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257 | (6) |
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6.1.1 How many measurements? |
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257 | (1) |
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6.1.2 Steady-state or transient mode" |
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258 | (1) |
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6.1.3 What if the material is wet? |
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259 | (1) |
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6.1.4 What if the material is semi-transparent? |
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260 | (3) |
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263 | (4) |
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263 | (2) |
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265 | (1) |
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266 | (1) |
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266 | (1) |
Chapter 7 Analogies Between Different Transfers |
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267 | (10) |
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7.1 Diffusion of heat by conduction |
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267 | (1) |
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7.2 Diffusion of water vapor |
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268 | (2) |
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7.3 Flow of a gas in a porous medium |
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270 | (2) |
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7.4 Analogy between the different transfers |
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272 | (1) |
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7.5 Example of adaptation of a thermal method to another domain |
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273 | (4) |
Appendices |
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277 | (34) |
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Appendix 1. Physical Properties of Some Materials |
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279 | (2) |
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Appendix 2. Physical Properties of Air and Water |
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281 | (2) |
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Appendix 3. Transfer Coefficients in Natural Convection |
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283 | (2) |
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Appendix 4. Main Integral Transformations: Laplace, Fourier and Hankel |
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285 | (4) |
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Appendix 5. Inverse Laplace Transformation |
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289 | (4) |
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Appendix 6. Value of the Function ERF |
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293 | (2) |
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Appendix 7. Quadrupole Matrices for Different Configurations |
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295 | (4) |
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Appendix 8. Bessel Equations and Functions |
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299 | (2) |
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Appendix 9. Influence of Radiation on Temperature Measurement |
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301 | (4) |
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305 | (6) |
Bibliography |
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311 | (10) |
Index |
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321 | |