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Part I Measurements, Error Analysis and Design of Experiments |
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1 Measurements And Errors In Measurement |
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3 | (46) |
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3 | (3) |
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1.1.1 Measurement Categories |
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4 | (1) |
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1.1.2 General Measurement Scheme |
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5 | (1) |
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5 | (1) |
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1.2 Errors in Measurement |
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6 | (2) |
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1.2.1 Systematic Errors (Bias) |
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6 | (1) |
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6 | (2) |
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1.3 Statistical Analysis of Experimental Data |
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8 | (35) |
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1.3.1 Statistical Analysis and Best Estimate from Replicate Data |
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8 | (1) |
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9 | (3) |
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1.3.3 Principle of Least Squares |
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12 | (2) |
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1.3.4 Error Estimation - Single Sample |
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14 | (5) |
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1.3.5 Student t Distribution |
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19 | (3) |
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22 | (8) |
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1.3.7 Non Parametric Tests |
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30 | (3) |
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1.3.8 Outliers and Their Rejection |
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33 | (10) |
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1.4 Propagation of Errors |
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43 | (3) |
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1.5 Specifications of Instruments and Their Performance |
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46 | (3) |
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49 | (30) |
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2.1 Introduction to Regression Analysis |
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49 | (2) |
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51 | (6) |
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2.2.1 Linear Fit by Least Squares |
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51 | (2) |
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2.2.2 Uncertainties in the Fit Parameters |
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53 | (3) |
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2.2.3 Goodness of Fit and the Correlation Coefficient |
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56 | (1) |
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2.3 Polynomial Regression |
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57 | (6) |
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2.3.1 Method of Least Squares and Normal Equations |
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57 | (1) |
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2.3.2 Goodness of Fit and the Index of Correlation or R2 |
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58 | (2) |
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2.3.3 Multiple Linear Regression |
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60 | (3) |
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2.4 General Non-linear Fit |
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63 | (3) |
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2.5 Χ2 Test of Goodness of Fit |
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66 | (4) |
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2.6 General Discussion on Regression Analysis Including Special Cases |
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70 | (9) |
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2.6.1 Alternate Procedures of Obtaining Fit Parameters |
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70 | (3) |
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2.6.2 Segmented or Piecewise Regression |
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73 | (6) |
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79 | (30) |
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3.1 Design of Experiments |
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79 | (15) |
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3.1.1 Goal of Experiments |
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79 | (1) |
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3.1.2 Full Factorial Design |
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80 | (1) |
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3.1.3 2k Factorial Design |
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81 | (3) |
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3.1.4 More on Full Factorial Design |
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84 | (1) |
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3.1.5 One Half Factorial Design |
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85 | (3) |
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3.1.6 Other Simple Design |
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88 | (6) |
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94 | (15) |
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Part II Measurements of Temperature, Heat Flux, and Heat Transfer Coefficient |
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4 Measurements Of Temperature |
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109 | (88) |
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109 | (1) |
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4.2 Thermometry or the Science and Art of Temperature Measurement |
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109 | (7) |
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109 | (5) |
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4.2.2 Practical Thermometry |
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114 | (2) |
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4.3 Thermoelectric Thermometry |
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116 | (22) |
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4.3.1 Thermoelectric Effects |
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116 | (7) |
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4.3.2 On the Use of Thermocouple for Temperature Measurement |
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123 | (4) |
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4.3.3 Use of Thermocouple Tables and Practical Aspects of Thermoelectric Thermometry |
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127 | (11) |
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4.4 Resistance Thermometry |
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138 | (20) |
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138 | (1) |
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4.4.2 Platinum Resistance Thermometer and the Callendar Correction |
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139 | (3) |
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4.4.3 RTD Measurement Circuits |
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142 | (6) |
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148 | (10) |
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158 | (15) |
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4.5.1 Radiation Fundamentals |
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159 | (3) |
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4.5.2 Brightness Temperature and the Vanishing Filament Pyrometer |
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162 | (6) |
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4.5.3 Total Radiation Pyrometer |
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168 | (1) |
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4.5.4 Ratio Pyrometer and the Two-Color Pyrometer |
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169 | (3) |
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4.5.5 Gas Temperature Measurement |
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172 | (1) |
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4.6 Other Temperature Measurement Techniques |
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173 | (11) |
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4.6.1 Liquid in Glass or Liquid in Metal Thermometers |
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174 | (3) |
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4.6.2 Bimetallic Thermometer |
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177 | (5) |
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4.6.3 Liquid Crystal Thermometers |
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182 | (1) |
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4.6.4 IC Temperature Sensor |
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183 | (1) |
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4.7 Measurement of Transient Temperature |
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184 | (13) |
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4.7.1 Temperature Sensor as a First-Order System---Electrical Analogy |
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184 | (2) |
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4.7.2 Response to Step Input |
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186 | (5) |
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4.7.3 Response to a Ramp Input |
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191 | (3) |
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4.7.4 Response to a Periodic Input |
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194 | (3) |
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5 Systematic Errors In Temperature Measurement |
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197 | (24) |
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197 | (1) |
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5.2 Examples of Temperature Measurement |
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197 | (4) |
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5.2.1 Surface Temperature Measurement Using a Compensated Probe |
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197 | (1) |
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5.2.2 Measurement of Temperature Inside a Solid |
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198 | (1) |
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5.2.3 Measurement of Temperature of a Moving Fluid |
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199 | (1) |
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5.2.4 Summary of Sources of Error in Temperature Measurement |
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200 | (1) |
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5.3 Conduction Error in Thermocouple Temperature Measurement |
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201 | (9) |
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201 | (1) |
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5.3.2 The Single Wire Model |
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201 | (2) |
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5.3.3 Heat Loss Through Lead Wire |
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203 | (1) |
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5.3.4 Typical Application and Thermometric Error |
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204 | (2) |
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5.3.5 Measurement of Temperature Within a Solid |
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206 | (4) |
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5.4 Measurement of Temperature of a Moving Fluid |
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210 | (11) |
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5.4.1 Temperature Error Due to Radiation |
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211 | (2) |
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5.4.2 Reduction of Radiation Error: Use of Radiation Shield |
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213 | (2) |
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5.4.3 Analysis of Thermometer Well Problem |
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215 | (6) |
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6 Heat Flux And Heat Transfer Coefficient |
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221 | (40) |
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6.1 Measurement of Heat Flux |
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221 | (21) |
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6.1.1 Foil-Type Heat Flux Gauge |
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221 | (5) |
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6.1.2 Transient Analysis of Foil Gauge |
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226 | (3) |
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229 | (1) |
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6.1.4 Cooled Thin Wafer Heat Flux Gauge |
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230 | (1) |
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6.1.5 Axial Conduction Guarded Probe |
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231 | (1) |
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232 | (3) |
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6.1.7 Slug Type Sensor Response Including Non-Uniformity in Temperature |
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235 | (3) |
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6.1.8 Thin Film Heat Flux Gauge---Transient Operation |
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238 | (4) |
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6.2 Measurement of Heat Transfer Coefficient |
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242 | (4) |
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6.2.1 Film Coefficient Transducer |
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242 | (1) |
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6.2.2 Cylindrical Heat Transfer Coefficient Probe |
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243 | (3) |
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246 | (15) |
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Part III Measurement of Pressure, Fluid Velocity, Volume Flow Rate, Stagnation, and Bulk Mean Temperatures 7 Measurement of Pressure |
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261 | (130) |
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7.1 Basics of Pressure Measurement |
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261 | (1) |
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262 | (11) |
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7.2.1 Well Type Manometer |
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265 | (3) |
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7.2.2 Dynamic Response of a U Tube Manometer |
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268 | (5) |
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273 | (1) |
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274 | (1) |
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274 | (17) |
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7.4.1 Pressure Tube with Bonded Strain Gauge |
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275 | (4) |
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7.4.2 Bridge Circuits for Use with Strain Gauges |
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279 | (4) |
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7.4.3 Diaphragm/Bellows Type Transducer |
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283 | (5) |
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7.4.4 Capacitance Type Diaphragm Gauge |
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288 | (2) |
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7.4.5 Piezoelectric Pressure Transducer |
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290 | (1) |
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7.5 Measurement of Pressure Transients |
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291 | (6) |
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291 | (1) |
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7.5.2 Pressure Measurement in a Liquid System |
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292 | (1) |
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7.5.3 Pressure Measurement in a Gas System |
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292 | (1) |
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7.5.4 Transient Response of a Bellows Type Pressure Transducer |
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293 | (2) |
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7.5.5 Transients in a Force Balancing Element for Measuring Pressure |
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295 | (2) |
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7.6 Measurement of Vacuum |
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297 | (6) |
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298 | (2) |
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300 | (1) |
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300 | (2) |
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302 | (1) |
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8 Measurement Of Fluid Velocity |
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303 | (40) |
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303 | (1) |
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8.2 Pitot-Pitot Static and Impact Probes |
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304 | (13) |
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8.2.1 Pitot and Pitot Static Tube |
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304 | (4) |
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8.2.2 Effect of Compressibility |
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308 | (3) |
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311 | (3) |
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8.2.4 Orientation Effects and Multi-hole Probes |
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314 | (3) |
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8.3 Velocity Measurement Based on Thermal Effects |
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317 | (11) |
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8.3.1 Hot Wire Anemometer |
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317 | (2) |
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8.3.2 Constant Temperature or CT Anemometer |
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319 | (1) |
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8.3.3 Useful Heat Transfer Correlation |
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320 | (1) |
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8.3.4 Constant Current or CC Anemometer |
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321 | (2) |
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323 | (2) |
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8.3.6 Measurement of Transients (Velocity Fluctuations) |
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325 | (1) |
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8.3.7 Directional Effects on Hot Wire Anemometer |
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326 | (2) |
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328 | (7) |
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328 | (2) |
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8.4.2 Ultrasonic Doppler Velocity Meter |
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330 | (2) |
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8.4.3 Laser Doppler Velocity Meter |
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332 | (3) |
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8.5 Time of Flight Velocimeter |
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335 | (8) |
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8.5.1 Simultaneous Measurement of Position and Velocity |
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339 | (1) |
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8.5.2 Cross Correlation Type Velocity Meter |
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340 | (3) |
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343 | (32) |
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9.1 Measurement of Volume Flow Rate |
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343 | (1) |
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9.2 Variable Area Type Flow Meters |
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344 | (17) |
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9.2.1 Principle of Operation |
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344 | (2) |
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346 | (1) |
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9.2.3 Types of Variable Area Flow Meters |
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347 | (1) |
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9.2.4 Orifice Plate Meter |
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347 | (5) |
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352 | (2) |
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354 | (2) |
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9.2.7 Effect of Compressibility in Gas Flow Measurement |
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356 | (2) |
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9.2.8 Sonic Orifice or the Sonic Nozzle |
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358 | (3) |
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9.2.9 Selection of Variable Area Flow Meters |
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361 | (1) |
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9.3 Rotameter or Drag Effect Flow Meter |
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361 | (5) |
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362 | (4) |
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9.4 Miscellaneous Types of Flow Meters |
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366 | (3) |
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9.4.1 Positive Displacement Meters |
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366 | (1) |
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9.4.2 Vortex Shedding Type Flow Meter |
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367 | (1) |
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367 | (2) |
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9.5 Factors to Be Considered in the Selection of Flow Meters |
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369 | (1) |
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9.6 Calibration of Flow Meters |
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369 | (6) |
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9.6.1 Methods of Calibration |
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369 | (1) |
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370 | (2) |
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372 | (1) |
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9.6.4 Flying Start---Flying Finish Method with Static Weighing |
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373 | (2) |
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10 Stagnation And Bulk Mean Temperature |
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375 | (16) |
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10.1 Stagnation Temperature Measurement |
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375 | (3) |
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10.1.1 Shielded Thermocouple Stagnation Temperature Probe |
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376 | (1) |
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10.1.2 Dual Thin Film Enthalpy Probe |
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377 | (1) |
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10.2 Bulk Mean Temperature |
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378 | (4) |
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10.2.1 Flow in a Rectangular Duct |
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380 | (2) |
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382 | (9) |
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Part IV Thermo-physical Properties, Radiation Properties of Surfaces, Gas Concentration, Force/Acceleration, torque, and Power |
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11 Measurement Of Thermophysical Properties |
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391 | (32) |
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391 | (1) |
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11.2 Thermal Conductivity |
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392 | (1) |
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392 | (1) |
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11.3 Steady State Methods |
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393 | (9) |
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11.3.1 Guarded Hot Plate Apparatus: Solid Sample |
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393 | (3) |
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11.3.2 Guarded Hot Plate Apparatus: Liquid Sample |
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396 | (1) |
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11.3.3 Radial Heat Conduction Apparatus for Liquids and Gases |
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397 | (3) |
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11.3.4 Thermal Conductivity Comparator |
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400 | (2) |
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402 | (2) |
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11.4.1 Laser Flash Method |
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402 | (2) |
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11.5 Measurement of Heat Capacity |
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404 | (3) |
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11.5.1 Heat Capacity of a Solid |
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404 | (3) |
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11.5.2 Heat Capacity of Liquids |
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407 | (1) |
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11.6 Measurement of Calorific Value of Fuels |
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407 | (7) |
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408 | (2) |
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11.6.2 The Bomb Calorimeter |
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410 | (3) |
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11.6.3 Continuous Flow Calorimeter |
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413 | (1) |
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11.7 Measurement of Viscosity of Fluids |
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414 | (9) |
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11.7.1 Laminar Flow in a Capillary |
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415 | (3) |
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11.7.2 Saybolt Viscometer |
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418 | (1) |
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11.7.3 Rotating Cylinder Viscometer |
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419 | (4) |
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12 Radiation Properties Of Surfaces |
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423 | (22) |
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423 | (4) |
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424 | (3) |
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12.2 Features of Radiation Measuring Instruments |
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427 | (2) |
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12.2.1 Components of a Reflectivity Measuring Instrument |
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428 | (1) |
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429 | (6) |
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12.3.1 Hemispherical Emissivity |
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430 | (3) |
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12.3.2 Hemispherical Directional Reflectivity |
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433 | (1) |
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12.3.3 Directional Hemispherical Reflectivity |
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434 | (1) |
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12.4 Measurement of Emissivity |
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435 | (10) |
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12.4.1 Emissivity Measurement Using an Integrating Radiometer |
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436 | (1) |
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12.4.2 Measurement of Emissivity by Transient Cooling in Vacuum |
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436 | (3) |
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12.4.3 Calorimetric Method of Emissivity Measurement |
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439 | (3) |
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12.4.4 Commercial Portable Ambient Temperature Emissometer |
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442 | (3) |
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445 | (22) |
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445 | (4) |
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13.1.1 Methods of Gas Concentration Measurement |
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448 | (1) |
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13.2 Non-Separation Methods |
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449 | (7) |
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13.2.1 Non-Dispersive Infrared Analyzer (NDIR) |
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449 | (2) |
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13.2.2 Differential Absorption LIDAR (DIAL) |
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451 | (3) |
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13.2.3 Chemiluminescence NOx Detection |
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454 | (2) |
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456 | (11) |
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13.3.1 Gas Chromatography |
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456 | (3) |
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13.3.2 Orsat Gas Analyzer |
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459 | (1) |
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13.3.3 Particulate Matter---Soot (or Smoke) |
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460 | (7) |
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14 Force/Acceleration, Torque, And Power |
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467 | (38) |
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467 | (1) |
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468 | (6) |
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468 | (1) |
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14.2.2 Force to Displacement Conversion |
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469 | (4) |
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473 | (1) |
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14.2.4 Conversion of Force to Hydraulic Pressure |
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473 | (1) |
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14.2.5 Piezoelectric Force Transducer |
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474 | (1) |
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14.3 Measurement of Acceleration |
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474 | (16) |
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475 | (1) |
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14.3.2 Characteristics of a Spring-Mass-Damper System |
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476 | (9) |
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14.3.3 Piezoelectric Accelerometer |
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485 | (1) |
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14.3.4 Laser Doppler Vibrometer |
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486 | (3) |
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14.3.5 Fiber Optic Accelerometer |
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489 | (1) |
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14.4 Measurement of Torque and Power |
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490 | (8) |
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14.4.1 Mechanical Brake Arrangement---Prony Brake |
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490 | (1) |
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14.4.2 Electric Generator as a Dynamometer |
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491 | (1) |
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14.4.3 Measure Shear Stress on the Shaft |
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492 | (3) |
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14.4.4 Tachometer---Mechanical Device |
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495 | (1) |
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14.4.5 Non-Contact Optical RPM Meter |
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495 | (3) |
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498 | (7) |
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Part V Data Manipulation and Examples from Laboratory Practice |
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505 | (24) |
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505 | (1) |
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15.2 Mechanical Signal Conditioning |
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506 | (2) |
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506 | (2) |
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15.2.2 Optical Measurement of Twist Angle in a Wire |
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508 | (1) |
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15.3 Electrical/Electronic Signal Conditioning |
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508 | (21) |
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15.3.1 Signal Conditioning |
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509 | (1) |
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15.3.2 Signal Amplification and Manipulation |
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509 | (13) |
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15.3.3 Digital Panel Meter or Digital Voltmeter |
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522 | (2) |
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524 | (5) |
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16 Examples From Laboratory Practice |
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529 | (10) |
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529 | (1) |
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16.2 Thermocouple Calibration Using a Data Logger |
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530 | (3) |
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16.3 Calibration of a Digital Differential Pressure Gauge |
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533 | (1) |
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16.4 Signal Conditioning for Torque Measurement Using Strain Gauges |
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534 | (2) |
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536 | (2) |
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538 | (1) |
Appendix A Bibliographic Notes and References |
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539 | (6) |
Appendix B Useful Tables |
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545 | (10) |
Index |
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555 | |