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In pipe flow measurement, orifice, nozzle, and Venturi meters are commonly used to determine fluid flowrates by constricting the flow area, which increases fluid velocity and reduces pressure. This pressure difference, governed by Bernoulli's principle and adjusted for real-world conditions, is essential for calculating flowrate. Each meter type is suited to specific applications based on accuracy, efficiency, and compatibility with various flow conditions.

The orifice meter is a simple, cost-effective device consisting of a flat plate with a central hole that creates a measurable pressure drop. This device is popular in applications like water treatment, oil and gas processing, and general industrial use where moderate accuracy is acceptable. However, due to head loss from turbulent flow and area contraction, a discharge coefficient is used to correct the idealized flow equation. The flowrate through an orifice meter is proportional to the square root of the pressure difference, accounting for fluid density, orifice area, and the ratio of the hole diameter to the pipe diameter.

The nozzle meter improves on the orifice meter by using a contoured design that reduces flow separation and turbulence, resulting in a smoother flow and increased measurement accuracy. It is often used for high-velocity flows, such as in steam or gas pipelines, chemical processing, and power plants. With a higher discharge coefficient than the orifice meter, the nozzle meter provides improved precision with less energy loss.

The Venturi meter offers the highest accuracy among the three types. It is ideal for applications requiring minimal head loss and reliable measurements, such as water supply systems, natural gas pipelines, and wastewater management. Its smooth contraction and gradual expansion reduce flow separation, conserving energy and enabling accurate flowrate calculations even in low-pressure systems. The discharge coefficient for a Venturi meter, which depends on factors like the ratio of the throat to pipe diameter and flow characteristics, supports exact flow measurement but requires a more complex installation and is generally more costly.

Each meter type offers unique benefits, from essential flow monitoring to precise flow control, chosen based on the application's accuracy needs and specific conditions.

From Chapter 21:

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21.11 : Pipe Flowrate Measurement

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21.1 : General Characteristics of Pipe Flow I

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21.2 : General Characteristics of Pipe Flow II

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21.3 : Laminar Flow

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21.4 : Laminar Flow: Problem Solving

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21.5 : Turbulent Flow

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21.6 : Turbulent Flow: Problem Solving

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21.7 : Major Losses in Pipes

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21.8 : Minor Losses in Pipes

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21.9 : Single Pipe Systems

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21.10 : Multiple Pipe Systems

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21.12 : Pipe Flowrate Measurement: Problem Solving

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21.13 : Design Example: Designing a Residential Plumbing System

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