venturi flow meter formula
Venturi meter Length of the venturi meter 16mm Entrance diameter D 1 16mm Throat diameter D 2 7mm Length 8mm Cross-sectional area of the throat S 2 π D 2 24 β D 2D 1 Collector Tank Readings Manometer Reading Coefficient of discharge é Initial water level cm Final water level cm Time taken sec Flow rate Q m3sec h 1. A Venturi meter filled with mercury is placed in the pipe as shown in the figure.
Theoretical Fluid Mechanics Venturi Meter Mike Soltys Ph D
Where C v is the Venturi coefficient A 1 and A 2 are the areas of the pipe cross-section ΔP is the difference between the pressure in.
. The coefficient of discharge for Venturimeter Cd is defined as the ratio of the actual flow rate through the venturi meter tube to the theoretical flow rate. D1 Diameter of Inlet. The venturi effect formula can be demonstrated as.
The principle behind the operation of the Venturi meter or venturi tube is the Bernoulli effect as well as the Continuity equation. Venturi tubes are available in sizes up to 72 and can pass 25 to 50 more flow than an orifice with the same pressure drop. Gallon kgkilogram kmkilometer lbpound mmeter minminute NNewton PaPascal psilbinch 2 ssecond Diagram of Venturi Flow Meter.
According to the formula the flow rate can be calculated according to the following formula. P2 Pressure at the throat in Nm2. The venturi flow meter is installed as a section of pipe or tubing and is used to measure the flow of fluids either gaseous or liquid.
Cmcentimeter ftfoot ggram galUS. If we want to find actual discharge then we will multiply the coefficient of discharge into the theoretical discharge. Ad Badger Meters Flow Measuring Devices Yields Superior Accuracy Low Cost Of Ownership.
The volumetric flow rate through the pipe is Q 5 10-3 m 3 s. The meter consists of a converging inlet section a short straight throat section and a diverging section. The speed of water in both cross sectional areas of the pipe.
Venturi flow meters like all other types of differential pressure flow meters function on the principles of the Bernoulli equation which states that as the speed of the flow of a fluid increases pressure loss occurs. Flow Rate Q meter3second cchour centimeter3second centimeter3hour deciliterminute foot3minute foot3second gallonminute literday literminute litersecond meter3day meter3minute milliliterhour milliliterminute. To find the Coefficient of discharge then we have to divide actual discharge by the theoretical discharge.
P1 p2 ρ 2v2 2 v2 1 p 1 p 2 ρ 2 v 2 2 v 1 2 p 1 pressure at position 1 before the narrowing of the pipe. But p1-p2ρg is the difference of pressure heads at sections 1 and 2 and it is equal to h or p1-p2ρg h. V1 Velocity at inlet in msec.
Therefore ΔV A1A22gh A2 1A2 2 2 g h A 1 2 A 2 212. C d Q act Q. Lift Stations Need Reliable Accurate Flow Measurement Solutions.
Where v v represents the volume that flows through a cross-section per second. V2 Velocity at throat in msec. Venturis deliver fixed stable repeatable flow rates.
In the venturi meter the fluid flow rate is reduced due to the reduction of the cross-sectional area. A1 Inlet area in m2. Brooks Instrument Is The Global Leader In Flow And Pressure Instrumentation.
So the venturi meter discharge coefficient is given by. Ad Designed And Manufactured To Asme Section Iii Class 1 2 3 Or Customer Specified Code. As the pipe is horizontal hence z1 z2.
The pressure difference between them. The difference in height h of mercury on the two sides of the U-tube. Units in Venturi Flow Meter calculator.
W mass flow rate lbms V velocity of stream fps A flow area ft 2 π r 2 area of circle g c gravitational constant 32174 lbmftlbfs 2 ρ density of fluid lbmft 3 p 1 absolute pressure lbf ft 2 p 2 gauge pressure lbf ft 2 β ratio of diameters D 2 D 1 for venturi and sharp-edge orifice and d D for flow nozzle D pipe diameter. As the fluid enters the converging section its velocity begins to increase reaching a maximum value. A2 Throat area in m2.
The several notations use in this derivation. Any point of flowing fluid in the venturi meter there will be pressure energy potential energy and kinetic. Ad Building High Quality Flow Products Since 1946.
By applying Bernoullis equation at sections 1 and 2 we can get. D2 Diameter of the throat. P1 Pressure at the inlet in Nm2.
Substituting this value of p1-p2ρg in the above equation we get.
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