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Encyclopedia > Orifice plate

An orifice plate is a device which measures rate of fluid flow. It uses the same principle as the Venturi nozzles, namely Bernoulli's principle. It basically says that there is a relationship between the pressure of the fluid and the velocity of the fluid - velocity increases, the pressure decreases and vice versa. This article or section should be merged with Fluid mechanics Fluid dynamics is the study of fluids (liquids and gases) in motion, and the effect of the fluid motion on fluid boundaries, such as solid containers or other fluids. ... Bernoullis principle states that in fluid flow, an increase in velocity occurs simultaneously with decrease in pressure. ...


An orifice plate is basically a thin plate with a hole in the middle. It is usually placed in a pipe in which fluid flows.



As fluid flows through the pipe it has a certain velocity (which we want to measure) and a certain pressure (which is quite easily measured). When the fluid reaches the orifice plate, with the hole in the middle, the fluid is forced to converge to go through the small hole; the point of maximum convergence is actually just after the physical orifice, at the so-called "vena contracta" point (see diagram). As it does so, the velocity and the pressure changes. By measuring the difference in fluid pressure between the normal pipe section and at the vena contracta, we can find the velocity of the fluid flow by applying Bernoulli's equation. This article is about velocity in physics. ... Pressure (symbol: p) is the force per unit area acting on a surface in a direction perpendicular to that surface. ... In fluid dynamics, Bernoullis equation, derived by Daniel Bernoulli, describes the behavior of a fluid moving along a streamline. ...


With negligible frictional losses or change of elevation, Bernoulli's equation reduces to an equation relating the conservation of energy at two points in the fluid flow:


P_1 + frac{1}{2}*rho*V_1^2 = P_2 + frac{1}{2}*rho*V_2^2


or


P_1 - P_2 = frac{1}{2}*rho*V_2^2 - frac{1}{2}*rho*V_1^2


with


Q = A * V or V = Q / A


and Q1 = Q2


P_1 - P_2 = frac{1}{2}*rho*(frac{Q1}{A2})^2 - frac{1}{2}*rho*(frac{Q1}{A1})^2


Solving for Q1:


Q_1 = A_2*left ( frac{2*(P_1-P_2)}{rho*(1-A_2^2/A_1^2)} right )^{0.5}


And finally introducing terms to account for fluid compressibility and orifice geometry:


Q_1 = A_1*V_1 = C_{meter}*Y*A_2*left ( frac{2*(P_1-P_2)}{rho*(1-A_2^2/A_1^2)} right )^{0.5}


Q1 is the volumetric flow (e.g. gallons/hour)


V1 is the fluid velocity


A1 is the pipe area


A2 is the orifice area


A2 / A1 is known as the β ratio.


P1 is the inlet pressure


P2 is the outlet pressure


ρ is the density of the fluid


The meter coefficient, Cmeter, accounts for all non-idealities, including friction losses, and depends on the type of meter, the ratio of cross sectional areas and the Reynolds number. Equations for this exist (for example BS EN ISO 516). For rough calculations Cmeter can be approximated to 0.62.


The compressibility factor, Y, accounts for the expansion of compressible gases; it is 1.0 for incompressible fluids. These two factors can be estimated from correlations.


This type of meter only works well when supplied with a fully developed flow profile. This is achieved by a long upstream length (20 to 40 diameters, depending on Reynolds number) or the use of a flow conditioner.


Orifice plates are small and cheap to install, but impose a significant energy loss on the fluid due to friction. If space permits, a venturi meter is more efficient. A fluid passing through smoothly varying constrictions is subject to changes in velocity and pressure, as described by Bernoullis principle. ...


External links


  Results from FactBites:
 
orificeplate orifice plate meter run cheap flow meter (759 words)
Orifice plates are in common use in many installations.
Orifice plate is used for flow rate measuring in pipe systems.
Probably the most widely used differential pressure device is the orifice plate, the characteristics of which as a flow measurement device have been researched for over a 100 years, leading to the publication of many national and international standards.
Orifice plates from Wyatt Engineering (562 words)
The bore of the eccentric orifice is practically tangent to the inside diameter of the adjacent pipe.
Like the segmental orifice plate, the bore can be placed at the top or bottom of the pipe and this design is relatively common in the chemical, pharmaceutical, pulp and paper, and petrochemical industries.
The orifice plate thickness is chosen to limit plate deformation by taking into account the magnitude of the differential pressure and other defined stresses.
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