| Preface | 6 |
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| Contents | 8 |
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| Notations | 15 |
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| 1 Introduction and History | 19 |
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| Abstract | 19 |
| 1.1 Introduction | 19 |
| 1.2 Theory | 20 |
| 1.2.1 Bernoulli's Theorem | 20 |
| 1.2.2 Method of Operation | 21 |
| 1.2.2.1 General | 21 |
| 1.2.2.2 Incompressible Flow | 21 |
| 1.2.2.3 Compressible Flow | 22 |
| 1.2.2.4 Equation for Practical Use | 24 |
| 1.3 Essential Requirements | 25 |
| 1.3.1 General | 25 |
| 1.3.2 With a Calibration in a Flowing Fluid | 25 |
| 1.3.3 Without a Calibration in a Flowing Fluid | 26 |
| 1.4 Introduction to Reynolds Number and Velocity Profile | 26 |
| 1.5 Pipe Roughness | 29 |
| 1.6 Accuracy | 30 |
| 1.7 Pressure Loss | 31 |
| 1.8 Standards | 32 |
| 1.9 Advantages and Disadvantages | 32 |
| 1.10 History | 33 |
| 1.11 Conclusions | 40 |
| Appendix 1.A: Sextus Julius Frontinus | 41 |
| References | 46 |
| 2 Orifice Design | 50 |
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| Abstract | 50 |
| 2.1 Introduction | 50 |
| 2.2 Orifice Plate | 51 |
| 2.2.1 General | 51 |
| 2.2.2 Flatness | 53 |
| 2.2.3 Surface Condition of the Upstream Face of the Plate | 54 |
| 2.2.4 Edge Sharpness | 56 |
| 2.2.5 Plate Thickness E and Orifice (Bore) Thickness e | 58 |
| 2.2.5.1 General | 58 |
| 2.2.5.2 Plate Thickness E | 58 |
| 2.2.5.3 Orifice (Bore) Thickness e | 59 |
| 2.2.5.4 Requirements | 61 |
| 2.2.6 Circularity | 62 |
| 2.3 The Pipe | 62 |
| 2.3.1 General | 62 |
| 2.3.2 Pressure Tappings | 63 |
| 2.3.2.1 General | 63 |
| 2.3.2.2 Flange and D and D/2 Tappings | 63 |
| General | 63 |
| Tapping Diameter | 65 |
| Tapping Location | 65 |
| 2.3.2.3 Corner Tappings | 67 |
| 2.3.2.4 Number of Tappings | 67 |
| 2.3.3 Pipe Roughness | 68 |
| 2.3.3.1 Uniform Roughness | 68 |
| 2.3.3.2 Rough Pipes with a Smooth Portion Immediately Upstream of the Orifice | 71 |
| 2.3.3.3 Non-uniform Roughness | 72 |
| 2.3.4 Steps and Misalignment |
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