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volumetric ow rate (m3 / s) uid density (kg / m3) cross-section areas (m2)
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The pressure difference ( p1 p2) is measured using a manometer connected to appropriate pressure tapping points at cross-section areas 1 and 2
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1 Flow (a) 1 Flow (b) 1 Flow (c)
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FIGURE 1928 Schematic of three typical obstruction meters (a) venturi; (b) ow nozzle, (c) ori ce
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Calibration of the manometer depends (Fig 1929) on the shape of the obstruction (ori ce plate, ow nozzle or venturi), the position at the pressure tapping points and the physical properties of the uid In industrial applications, the pressure difference is detected by a differential pressure cell, the output from which is either an ampli ed pressure signal or an electrical signal
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1 Venturi Tube Meter A typical arrangement (ASME Standard5) of a section
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through such a device is shown in Fig 1930 and consists of a short converging conical tube called the inlet or upstream cone, leading to a cylindrical portion called the throat The diverting section called the outlet or recovery cone follows this
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FIGURE 1929 Pipeline section into which a owmeter is inserted
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Direction of flow
c a D d a b c = = = = = = b Pipe diameter inlet and outlet Throat diameter as required 025D to 075D for 4 D 6 , 025D to 050 D for 6 D d d/2 3/16 in to 1/2 in according to D Annular pressure chamber with at least four piezometer vents r2 = 35d to 375d r1 = 0 to 1375D 2 1 = 21 = 5 to 15 2 1 = 254 m FIGURE 1930 Venturi owmeter
CHAPTER NINETEEN
Pressure tapping, are made at the entry and at the throat and the pressure difference h which is measured using a manometer, a differential pressure cell or similar gauge, is dependent on the ow rate through the meter Usually, pressure chambers are tted around the entrance pipe and the throat circumference with a series of tapping holes made in the chamber to which the manometer is connected This ensures that an average pressure is recorded The loss of energy due to turbulence that occurs just downstrean with an ori ce plate is largely avoided in the venturi meter due to the gradual divergence beyond the throat Venturimeters are usually made a permanent installation in a pipeline and are manufactured usually from stainless steel, cast iron, monel metal or polyester glass bre Advantages of venturimeters are high accuracy and low pressure loss in the tube (2% to 3% in a well-proportioned tube) Disadvantages are high manufacturing costs and installation tends to be rather long
2 Ori ce Plate Meter An ori ce plate meter consists of a circular, thin, at
plate with a hole (or ori ce) machined through its center to ne limits of accuracy Recommended location of pressure taps for use with concentric ori ce is given in Fig 1931 The variation of pressure near an ori ce plate is shown in Fig 1932 together with the ori ce plate and diaphragm-type meter The position of minimum pressure is located downstream from the ori ce plate where the ow stream is narrowest This point of minimum cross-sectional area of the jet is called the vena contracta Beyond this point the pressure rises but does not return to the original upstream value and there is a permanent pressure loss Advantages of ori ce plate are: relative, inexpensive and t between a standard pair of pipe anges Ori ce plates are usually used in medium and large pipes and are best suited to the indication and control of essentially constant ow rate
3 Flow Nozzle Meter The ow nozzle lies between an ori ce plate and the venturimeter both in performance and cost A typical section through a ow nozzle is shown in Fig 1933 with ASME standard The uid ow does not contract any further as it leaves the nozzle and the pressure loss created is considerably less than that occurring with ori ce plate Flow nozzles are suitable for use with high velocity ows for they do not suffer the wear that occurs in ori ce plate edges during such ows
Vena contacta connections: p at vena contacta 1D and 1/2 D connections: p at D/2 Inlet pressure connection D
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