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446 Chapter 8 ■ Viscous Flow in Pipes<br />

Magnetic sensor<br />

IN<br />

OUT<br />

Flow<br />

out<br />

Flow<br />

in<br />

FLOW<br />

Turbine<br />

F I G U R E 8.47<br />

Turbine-type flow meter.<br />

(Courtesy of E G & G Flow<br />

Technology, Inc.)<br />

Another useful pipe flowrate meter is a turbine meter as is shown in Fig. 8.47. A small, freely<br />

rotating propeller or turbine within the turbine meter rotates with an angular velocity that is a function<br />

of 1nearly proportional to2 the average <strong>fluid</strong> velocity in the pipe. This angular velocity is picked<br />

up magnetically and calibrated to provide a very accurate measure of the flowrate through the meter.<br />

Volume flow meters<br />

measure volume<br />

rather than volume<br />

flowrate.<br />

8.6.2 Volume Flow Meters<br />

In many instances it is necessary to know the amount 1volume or mass2 of <strong>fluid</strong> that has passed<br />

through a pipe during a given time period, rather than the instantaneous flowrate. For example,<br />

we are interested in how many gallons of gasoline are pumped into the tank in our car rather than<br />

the rate at which it flows into the tank. There are numerous quantity-measuring devices that provide<br />

such information.<br />

The nutating disk meter shown in Fig. 8.48 is widely used to measure the net amount of water<br />

used in domestic and commercial water systems as well as the amount of gasoline delivered to<br />

your gas tank. This meter contains only one essential moving part and is relatively inexpensive and<br />

accurate. Its operating principle is very simple, but it may be difficult to understand its operation<br />

without actually inspecting the device firsthand. The device consists of a metering chamber with<br />

spherical sides and conical top and bottom. A disk passes through a central sphere and divides the<br />

chamber into two portions. The disk is constrained to be at an angle not normal to the axis of symmetry<br />

of the chamber. A radial plate 1diaphragm2 divides the chamber so that the entering <strong>fluid</strong><br />

causes the disk to wobble 1nutate2, with <strong>fluid</strong> flowing alternately above or below the disk. The <strong>fluid</strong><br />

exits the chamber after the disk has completed one wobble, which corresponds to a specific volume<br />

of <strong>fluid</strong> passing through the chamber. During each wobble of the disk, the pin attached to the tip<br />

Calibration gears<br />

V8.14 Water meter<br />

Pin<br />

Metering<br />

chamber<br />

Flow<br />

in<br />

Flow<br />

out<br />

Casing<br />

Diaphragm<br />

Sphere<br />

Disk assembly<br />

F I G U R E 8.48<br />

Nutating disk flow meter.<br />

(Courtesy of Badger Meter,<br />

Inc.)

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