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Vortex Meter

Pic: Vortex Meter Calculation of flow velocity
Theodor von Karman discovered that,
when a non-streamlined object (also called a bluff body) is placed in
the path of a fast-flowing stream, the fluid will alternately separate
from the object on its two downstream sides, and, as the boundary layer
becomes detached and curls back on itself, the fluid forms vortices
(also called whirlpools or eddies). He also noted that the distance
between the vortices was constant and depended solely on the size of the
rock that formed it.
On the side of the bluff body where
the vortex is being formed, the fluid velocity is higher and the
pressure is lower. As the vortex a flagpole (which acts as a bluff
body); this is what causes the regular rippling one sees in a flag.
Vortices are also shed from bridge piers, pilings, offshore drilling
platform supports, and tall buildings. The forces caused by the
vortex-shedding phenomenon must be taken into account when designing
these structures. In a closed piping system, the vortex effect is
dissipated within a few pipe diameters downstream of the bluff body.
Today, the majority of vortex meters
use piezoelectric or capacitance- type sensors to detect the pressure
oscillation around the bluff body. These detectors respond to the
pressure oscillation with a low voltage output signal which has the same
frequency as the oscillation. Such sensors are modular, inexpensive,
easily replaced, and can operate over a wide range of temperature
ranges—from cryogenic liquids to superheated steam. Sensors can be
located inside the meter body or outside. Wetted sensors are stressed
directly by the vortex pressure fluctuations and are enclosed in
hardened cases to withstand corrosion and erosion effects. External
sensors, typically piezoelectric strain gages, sense the vortex shedding
indirectly through the force exerted on the shedder bar. External
sensors are preferred on highly erosive/ corrosive applications to
reduce maintenance costs, while internal sensors provide better
rangeability (better low flow sensitivity). They are also less sensitive
to pipe vibrations. The electronics housing usually is rated explosion-
and weatherproof, and contains the electronic transmitter
module, termination connections, and optionally a flow-rate indicator
and/or totalizer.
St
= f(d/V)
Where St
is the Strouhal number, f is the vortex shedding frequency, d is the
width of the bluff body, and V is the average fluid velocity. The value
of the Strouhal number is determined experimentally, and is generally
found to be constant over a wide range of Reynolds numbers. The Strouhal
number represents the ratio of the interval between vortex shedding
where B is the blockage factor, defined as the open area left by the
bluff
body divided by the full bore area of the pipe. This equation, in turn,
can be rewritten as:
Q = f
K
where K
is the meter coefficient, equal to the product (A f d B). As with
turbine and other frequency-producing flowmeters, the K factor can be
defined as pulses per unit volume (pulses per gallon, pulses per cubic
foot, etc.). Therefore, one can determine flowrate by counting the
pulses per unit time. Vortex frequencies range from one to thousands of
pulses per second, depending upon the flow velocity, the character of
the process fluid, and the size of the meter.

Pic: Vortex Detecting Sensor
Vortex flow meters are flow sensors
that detect the frequency of vortices shed by a bluff body placed in a
flow stream. The frequency of the vortices is proportional to the flow
velocity. Vortex flow meters are used to measure the flow of liquids
and/or gases. Some devices can accommodate mixed-phase materials such as
steam. Others can measure liquids with suspended solids (slurries).
Operating pressure range and media temperature range are important media
specifications to consider. Operating pressure range is the maximum head
pressure of the process media that devices can withstand. Maximum
temperature range is the maximum temperature of the media that can be
monitored. Additional parameters include velocity flow rate, which is
usually measured in distance/time. Vortex flow meters that can also
measure temperature, density or media levels are commonly available.
Pipe size and mounting style are important consideration when selecting
vortex flow meters. Many products are calibrated in terms of pipe
diameter, a measurement that is expressed in English units such as
inches (in) or metric units such as centimeters (cm). There are several
mounting styles for vortex flow meters. Insertion-type devices are
inserted perpendicular to the flow path. They usually require a threaded
hole in the process pipe, or another means of access. In-line flanged
devices are inserted parallel to the flow path, typically between two
pieces of flanged process piping. In-line threaded products are inserted
parallel to the flow path and threaded into two existing process pipes.
National pipe thread (NPT) is the most common thread type. In-line clamp
vortex flow meters are also available. These devices are inserted
parallel to the flow path and clamped between two existing process
pipes.
Vortex flow meters differ in terms of outputs and interfaces. Flow rate
information can be output as an analog voltage signal, an analog current
signal, a frequency or pulse, or a switch. Analog voltage signals such
as 0 – 10 mV are a simple, usually linear function of the measurement.
They are continuous, rather than pulsed or discrete. Analog current
signals such as 4 – 20 mA use feedback to provide the appropriate
current regardless of line noise and impedance. These devices, which are
often called transmitters, are useful when sending signals over long
distances. Flow rate information can also be output as an encoded signal
via amplitude modulation (AM) or frequency modulation. Vortex flow
meters with switch outputs use media flow to trigger a switch based on
preset flow rates. Both serial and parallel computer interfaces are
commonly available. Serial interfaces include RS232, RS422, and RS485.
Parallel interfaces use the general-purpose interface bus (GPIB), a
Centronics port, or a printer port.
Vortex flow meters provide a variety of features. Multi-insertion
devices determine the flow rate by taking flow rate measurements across
several points in the flow path. Programmable flow meters typically
include a built-in microprocessor and can be adjusted electronically for
different materials, ranges, and outputs. Devices with recorder or
totalizer functions can plot or chart flow history for a given unit of
time. Some vortex flow meters include built in audible or visual alarms
and not just alarm contacts. Others provide controller functions.
Products that are rated for sanitary applications are suitable for
medical or food processing applications.
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