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Fluid Mechanics Laboratory ManualExperiment No. 6Calibration of Orifice MeterName of the Student:Roll No:Department of Mechanical EngineeringMKSSS’s Cummins College of Engineering for Women

Calibration of Orifice MeterPage No.Figure 1: Orifice MeterFluid Mechanics LaboratoryCummins College of Engineering

Calibration of Orifice MeterPage No.Title of the Experiment: Calibration of Orifice MeterAim: To calibrate the given orifice meter and to determine the variation of coefficientof discharge over Reynolds number.ollegeIntroductionFlow meters are used in the industry to measure the volumetric flow rate of fluids. Differentialpressure type flow meters (Head flow meters) measure flow rate by introducing a constrictionin the flow. The pressure difference caused by the constriction is correlated to the flow rateusing Bernoullis theorem.An orifice meter is a differential pressure flow meter which reduces the flow area usinginsCan orifice plate.An orifice is a flat plate with a centrally drilled hole machined to a sharpedge. The orifice plate is inserted between two flanges perpendicularly to the flow, so thatthe flow passes through the hole with the sharp edge of the orifice pointing to the upstream.The relationship between flow rate and pressure drop can be determined using Bernoullismequation as in eq:2CuWherem A1 A2 2gHQ pA1 2 A2 2 Q Actual discharge m3 /s A1 Area of the pipe m2 A2 Area of the throat m2 H Differential pressure head of liquid mThe fluid contracts and then expands as it moves through the orifice and this results in apressure drop across the orifice, which can be measured. The magnitude of the pressure dropcan be related to the volumetric flow rate. An orifice in a pipeline is shown in figure 1 with aFluid Mechanics LaboratoryCummins College of Engineering

Calibration of Orifice MeterPage No.manometer for measuring the drop in pressure (differential) as the fluid passes through theorifice. The minimum cross sectional area of the jet is known as the vena contracta.As the fluid flows through the orifice plate the velocity increases, at the expense ofpressure head. The pressure drops suddenly as the orifice is passed. It continues to dropuntil the vena contracta is reached and then gradually increases until at approximately 5 to8 diameters downstream a maximum pressure point is reached that will be lower than theollegepressure upstream of the orifice. The decrease in pressure as the fluid passes thru the orificeis a result of the increased velocity of the fluid passing through the reduced area of the orifice.When the velocity decreases as the fluid leaves the orifice the pressure increases and tendsto return to its original level. All of the pressure loss is not recovered because of friction andturbulence losses in the stream. The pressure drop across the orifice increases when the rateof flow increases. When there is no flow there is no differential. The differential pressure isinsCproportional to the square of the velocity, it therefore follows that if all other factors remainconstant, then the differential pressure is proportional to the square of the rate of flow.Bernoullis equation is applied to a streamline down the centre of the pipe from a point1 well upstream of the restriction to point 2 in the vena contracta of the jet immediatelydownstream of the restriction where the streamlines are parallel and the pressure acrossmthe duct may therefore be taken to be uniform. For a real flow through a restriction, theassumptions above do not hold completely.mWe cannot easily measure the cross-sectional area of the jet at the vena contracta at cross-Cusection 2 where the streamlines are parallel. These errors in the idealized analysis are accounted for by introducing a single, cover all correction factor, the discharge coefficient, Cd.So he flow rate through orifice meter can be given by the eq:2 A1 A2 2ghQ Cd pA1 2 A2 2Coefficient of discharge for a given orifice type is a function of the Reynolds number (N Reo)basedon orifice diameter and velocity, and diameter ratio . At Reynolds number greater thanabout 30000,the coefficients are substantially constant and independent of diameter ratioand Reynolds number.Fluid Mechanics LaboratoryCummins College of Engineering

Page No.insCollegeCalibration of Orifice MeterFigure 2: Variation of Cd with Reynolds number for different diameter ratioCredit: Perry’s Chemical Engineers’ Handbook, Robert Perry, Eighth EditionmExperimental SetupExperimental setup consist of a main tank, a pump, bypass valve, a collecting tank and themventurimeter. Venturimeter is installed in the pipe connecting to pump and the collectingtank. A manometer is installed between the pipe and throat of the venturimeter. MercuryCuis used as manometric fluid.Specifications Area of the collecting tank 0.41 0.33 m2 Diameter of the pipe 28 mm Diameter of the throat 14 mmFluid Mechanics LaboratoryCummins College of Engineering

Calibration of Orifice MeterPage No.Experimental Procedure1. Open the bypass valve fully2. Start the pump.3. Adjust the inlet gate valve and bypass valve to get the steady flow across the venturiollegemeter4. Close the discharge valve of the collection tank and measure the time for rise of 10 cmof water column.5. Record the pressure difference in the manometer connected between the upstream sideand the throat of the venturi meter.insC6. Increase the flow rate by adjusting the gate valve and bypass valve.7. Repeat the procedure for 5 times.mObservationsSr. No.Differential Head (Hg)Time for rise in water level of 10 cmCu12345mTable 1: Observation TableCalculationsActual Discharge Qa Fluid Mechanics LaboratoryAt Rt(1)Cummins College of Engineering

Calibration of Orifice MeterPage No. Differential head in water column H HHgDischarge Coefficient(2) A1 A2 2gHQt pA1 2 A2 2Cd (3)ollegeTheoretical Discharge SHg 1SwQtQaResults(4)Sr. No.insCTable 2: ResultsTheoretical DischargeReynoldsnumberm1.Actual Dischargem6CuConclusionPlot1. The variation of Cd with Reynolds numberFluid Mechanics LaboratoryCummins College of EngineeringCd

counted for by introducing a single, cover all correction factor, the discharge coe cient, Cd. So he ow rate through ori ce meter can be given by the eq:2 Q C d A 1A 2 p 2gh p A 1 2 A 2 2 Coe cient of discharge for a given ori ce type is a function of the Reynolds number (NReo)ba

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