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The Problem of Measuring the Temperature of Low
Emissivity Materials Near Ambient Temperature.
By Ralph
Rudolph
In the steel industry, it is often desirable to measure the
temperature of unoxidized steel strip (which may be coated with other metals) at
temperatures near ambient (less than 300 Fahrenheit). Temperatures this low
require the use of longer infrared wavelengths to obtain enough infrared energy
to make a measurement. Typically, I recommend using a 3.43 micron device as
commercial radiation thermometers are commonly available using this wavelength,
and emissivity is higher than at longer wavelengths such as general purpose
8-14 micron units.
There are several problems in making such a measurement.
First, one must look at the product mix being produced. In some cases, the
product may have a range of differing emissivities depending on surface
roughness or differing applied coatings. At low emissivities, even a small error
in emissivity setting may cause a significant error in measured temperature.
Second, and this is a problem that many vendors don’t seem
to know about, at long wavelengths, all the surroundings also emit significant
infrared radiation which can reflect off the strip into the radiation
thermometer, causing it to read too high of a temperature. The problem gets
worse at longer wavelengths.
There are a variety of approaches which can be used to
overcome these problems, some fairly inexpensive, some not. The complexity of
the approach used depends on the accuracy desired and the location where the
measurement is to be made. If the measurement is critical to achieving desired
properties, the cost considerations should include that the cost of even one or
two off-spec coils can run to many tens of thousands of dollars.
Here are a few methods that can be used, with their pros
and cons:
- The Wedge (or Roll Nip) Method: This method is
coming into common use (and misuse as it is incorrectly applied in many
cases). At a point where a strip makes a wrap around a roll, if the radiation
thermometer (RT) is aimed (usually from along side of the strip) into the
conical cavity formed between the roll and strip, the cavity is assumed to
form a blackbody with an emissivity of 1.0. Usually the sighting angle is
about 6-8 degrees from the plane of the strip (very shallow) to sight into the
cavity as deeply as possible, and the RT is aimed to sight slightly on the
strip rather than the roll. (Laser sighting helps this adjustment). There are
several requirements for this method to work well, and some peculiarities
which should be understood.
It should be understood that
blackbody conditions exist if and only if the roll and the strip are at the same
temperature. This can occur over a time period if there is sufficient heat
transfer between the strip and roll. For such heat transfer to be effective, the
roll wrap should be maximized and the roll itself should have a low thermal
mass, allowing it to be easily and quickly heated by the strip. How quickly the
roll and strip equilibrate to the same temperature depends on line speed, strip
thickness, sufficient line tension and details of the roll structure and wrap. I
have done side by side comparisons of wedge systems and other systems, and these
have easily shown that when the strip changes temperature, for instance with a
thickness change, that there can be a considerable time lag in reestablishing
blackbody conditions. During this time lag, the wedge method temperature reading
can be in considerable error. Obviously if the incoming strip becomes hotter,
the temperature measurement will be low, and if the incoming strip is cooler,
the temperature reading will be high. It must be understood that this type of
error is inherent in the wedge method. It is not accurate under these
conditions.
Even with a well designed wedge
system, it should be understood that the roll seldom actually reaches the same
temperature as the strip (because of air cooling) and an emissivity somewhat
less than 1.0 must be used to account for this. One method that can be used to
improve the wedge method is to use a second RT that measures the roll
temperature itself and the reading from this second RT can be used to correct
the wedge RT reading. It is a bit more expensive, but it can considerably
increase the accuracy of the wedge temperature measurement. If a wedge system is
employed, I’d certainly recommend this variant.
The main advantage of a wedge
system is that it is cheap to implement
- Reflective methods: If a hemispherical enclosure
is built using high quality first surface mirrors, and an RT is sighted into
this enclosure (usually through a fiber optic probe), and the open side of the
enclosure is placed very close to the strip, most of the radiation emitted by
the strip will be multiply reflected within the enclosure, making the interior
approach a blackbody. This type of system, with a well designed enclosure, can
work well in the laboratory. From a practical standpoint, this system is
difficult to implement in a mill because of trying to keep the mirror clean
and because of the very close spacing to the strip causing the possibility of
damage to the mirror system. It is a high maintenance system and requires an
in-depth supply of extra mirrored enclosures. If a continuous reading is not
necessary, it is advisable to move the unit into place only periodically on a
reciprocating arm to minimize possibility of damage from the strip. (The
reading when in place can be used to “correct” a second more conventional unit
if desired).
- Constant background method: Imagine that a highly
conductive flat black plate with a rough (machined rough) lower surface is
placed over the strip and that an RT sights the strip through a small hole in
the plate. The plate is designed to be a uniform preset temperature such as
100 F. I select 100 F to avoid water condensation on the plate. (One way to
achieve a uniform temperature is to make the plate hollow and recirculate a
high thermal conductivity fluid through it). If the strip emissivity is
measured (using a laser device) and is reasonably known, the fraction of
radiation received from the black plate versus from the strip can be
calculated to determine the strip temperature. This system can be costly as
the device to measure emissivity is not cheap, and the system requires
embedded computers and extra heaters and instrumentation.
- Driven Source Closed Loop System: As in 3 above,
a large flat black plate is placed above the strip and an RT is sighted
through a small hole in the plate. The RT has its emissivity set at 1.0 and
the output from the RT is used as a setpoint temperature for the plate heater
system. (A minimum temperature of 100 F or so is required). With careful
adjustment, the system will stabilize at a point where the plate temperature
tracks the strip temperature. The main problem with this system is that it is
useful only on higher emissivity product (over about 0.25) and has a fairly
slow response time, but it is less expensive than #3 as an emissivity
measuring device is not needed.
- Strip foldback System: If a location can be found
(often at certain sets of bridle rolls) or designed so that the strip changes
direction and forms a “cavity” bounded by the strip on two sides, a right
angle fiber optic probe can be inserted into the middle of this cavity which
will have an emissivity somewhat less than 1.0. This is somewhat similar in a
way to a wedge system but has higher losses depending on strip-to-strip
spacing. The main problem is fiber optic probe vulnerability with strip
breaks, and determining exactly what emissivity to use.
- Flat mirror system: A large, flat first surface
mirror is suspended several inches above the strip. The RT is sighted into
the gap between the mirror and strip, typically at about a 45 degree angle.
With enough bounces between the strip and mirror, emissivity of this “cavity”
may approach 1.0. As with the reflective cavity (#2) the main problem is
keeping the mirror clean and determining exactly what emissivity (somewhat
less than 1.0) to use.
- Subtractive Method: This works only if emissivity
is stable. Two RTs are used, one sighting the strip and one sighting a cooled
dummy target of similar material side by side. The signal from the cool dummy
target is assumed to be primarily reflective and is subtracted from the signal
from the main RT to get a strip-only signal.