14.8 Quartz thermometers
The quartz
thermometer makes use of the principle that the resonant frequency of a
material such as quartz is a function of temperature, and thus enables tempera[1]ture changes to
be translated into frequency changes. The temperature-sensing element consists
of a quartz crystal enclosed within a probe (sheath). The probe commonly
consists of a stainless steel cylinder, which makes the device physically
larger than devices like thermocouples and resistance thermometers. The crystal
is connected electrically so as to form the resonant element within an
electronic oscillator. Measure[1]ment of the
oscillator frequency therefore allows the measured temperature to be
calculated.
The instrument has a very linear output characteristic over the
temperature range between -40°C and +230°C, with a typical inaccuracy of ±0.1%.
Measurement resolution is typically 0.1°C but versions can be obtained with
resolutions as small as 0.0003°C. The characteristics of the instrument are
generally very stable over long periods of time and therefore only infrequent
calibration is necessary. The frequency[1]change form of
output means that the device is insensitive to noise. However, it is very
expensive, with a typical cost of £3000 ($5000).
14.9 Fibre-optic temperature sensors
Fibre-optic cables can be used as
either intrinsic or extrinsic temperature sensors, as discussed in Chapter 13,
though special attention has to be paid to providing a suitable protective
coating when high temperatures are measured. Cost varies from £1000 to £4000,
according to type, and the normal temperature range covered is 250°C to 3000°C,
though special devices can detect down to 100°C and others can detect up to
3600°C. Their main application is measuring temperatures in hard-to-reach
locations, though they are also used when very high measurement accuracy is
required. Some laboratory versions have an inaccuracy as low as ±0.01%, which
is better than a type S thermocouple, although versions used in industry have a
more typical inaccuracy of ±1.0%. Whilst it is often assumed that fibre-optic
sensors are intrinsically safe, it has been shown (Johnson, 1994) that
flammable gas might be ignited by the optical power levels available from some
laser diodes. Thus, the power level used with optical fibres must be carefully
chosen, and certification of intrinsic safety is necessary if such sensors are
to be used in hazardous environments.
One type of intrinsic sensor uses
cable where the core and cladding have similar refractive indices but different
temperature coefficients. Temperature rises cause the refractive indices to
become even closer together and losses from the core to increase, thus reducing
the quantity of light transmitted. Other types of intrinsic temperature sensor
include the cross-talk sensor, phase modulating sensor and optical resonator,
as described in Chapter 13. Research into the use of distributed temperature
sensing using fibre-optic cable has also been reported. This can be used to
measure things like the temperature distribution along an electricity supply
cable. It works by measuring the reflection characteristics of light
transmitted down a fibre-optic cable that is bonded to the electrical cable. By
analysing the back-scattered radiation, a table of temperature versus distance
along the cable can be produced, with a measurement inaccuracy of only ±0.5°C.
A common form of extrinsic sensor
uses fibre-optic cables to transmit light from a remote targeting lens into a
standard radiation pyrometer. This technique can be used with all types of
radiation pyrometer, including the two-colour version, and a particular
advantage is that this method of measurement is intrinsically safe. However, it
is not possible to measure very low temperatures, because the very small
radiation levels that exist at low temperatures are badly attenuated during
transmission along the fibre-optic cable. Therefore, the minimum temperature
that can be measured is about 50°C, and the light guide for this must not exceed
600 mm in length. At temperatures exceeding 1000°C, lengths of fibre up to 20 m
long can be successfully used as a light guide.
One extremely accurate device that
uses this technique is known as the Accufibre sensor. This is a form of
radiation pyrometer that has a black box cavity at the focal point of the lens
system. A fibre-optic cable is used to transmit radiation from the black box
cavity to a spectrometric device that computes the temperature. This has a
measurement range 500°C to 2000°C, a resolution of 10-5°C and an
inaccuracy of only ±0.0025% of full scale.
Several other types of device that
are marketed as extrinsic fibre-optic temperature sensors consist of a
conventional temperature sensor (e.g. a resistance thermometer) connected to a
fibre-optic cable so that the transmission of the signal from the measure[1]ment point is
free of noise. Such devices must include an electricity supply for the
electronic circuit that is needed to convert the sensor output into light
variations in the cable. Thus, low-voltage power cables must be routed with the
fibre-optic cable, and the device is therefore not intrinsically safe.
14.10 Acoustic thermometers
The principle of acoustic thermometry was discovered as long ago as 1873 and uses the fact that the velocity of sound through a gas varies with temperature according to the equation:
where v is the sound velocity, T is
the gas temperature, M is the molecular weight of the gas and both R and ˛ are
constants. Until very recently, it had only been used for measuring cryogenic
(very low) temperatures, but it is now also used for measuring higher
temperatures and can potentially measure right up to 20 000°C. However, typical
inaccuracy is ±5%, and the devices are expensive (typically £6000 or $10 000).
The various versions of acoustic thermometer that are available differ
according to the technique used for generating sound and measuring its velocity
in the gas. If ultrasonic generation is used, the instrument is often known as
an ultrasonic thermometer. Further information can be found in Michalski,
(1991).
14.11 Colour indicators
The colour of various substances and
objects changes as a function of temperature. One use of this is in the optical
pyrometer as discussed earlier. The other main use of colour change is in
special colour indicators that are widely used in industry to determine whether
objects placed in furnaces have reached the required temperature. Such colour
indicators consist of special paints or crayons that are applied to an object
before it is placed in a furnace. The colour-sensitive component within these
is some form of metal salt (usually of chromium, cobalt or nickel). At a
certain temperature, a chemical reaction takes place and a permanent colour
change occurs in the paint or crayon, although this change does not occur
instantaneously but only happens over a period of time.
Hence, the colour change mechanism is
complicated by the fact that the time of exposure as well as the temperature is
important. Such crayons or paints usually have a dual rating that specifies the
temperature and length of exposure time required for the colour change to
occur. If the temperature rises above the rated temperature, then the colour
change will occur in less than the rated exposure time. This causes little
problem if the rate of temperature rise is slow with respect to the specified
exposure time required for colour change to occur. However, if the rate of rise
of temperature is high, the object will be significantly above the rated change
temperature of the paint/crayon by the time that the colour change happens.
Besides wasting energy by leaving the object in the furnace longer than
necessary, this can also cause difficulty if excess temperature can affect the
required metallurgical properties of the heated object.
Paints and crayons are available to
indicate temperatures between 50°C and 1250°C. A typical exposure time rating
is 30 minutes, i.e. the colour change will occur if the paint/crayon is exposed
to the rated temperature for this length of time. They have the advantage of
low cost, typically a few pounds per application. However, they adhere strongly
to the heated object, which can cause difficulty if they have to be cleaned off
the object later
Some liquid crystals also change
colour at a certain temperature. According to the design of sensors using such
liquid crystals, the colour change can either occur gradu[1]ally during a
temperature rise of perhaps 50°C or else change abruptly at some specified
temperature. The latter kind of sensors are able to resolve temperature changes
as small as 0.1°C and, according to type, are used over the temperature range
from -20°C to +100°C.
14.12 Change of state of materials
Temperature-indicating devices known
as Seger cones or pyrometric cones are commonly used in the ceramics industry.
They consist of a fused oxide and glass material that is formed into a cone
shape. The tip of the cone softens and bends over when a particular temperature
is reached. Cones are available that indicate temperatures over the range from
600°C to +2000°C.
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