272 MECHANICAL ENGINEERING PRINCIPLES
Applications
Platinum resistance thermometers may be used as
calibrating devices or in applications such as heat-
treating and annealing processes and can be adapted
easily for use with automatic recording or control
systems. Resistance thermometers tend to be fragile
and easily damaged especially when subjected to
excessive vibration or shock.
Problem 2. A platinum resistance
thermometer has a resistance of 25at
0 °C. When measuring the temperature of an
annealing process a resistance value of 60
is recorded. To what temperature does this
correspond? Take the temperature coefficient
of resistance of platinum as 0.0038/°C
Rθ=R 0 ( 1 +αθ),whereR 0 = 25 ,Rθ = 60
andα= 0. 0038 /°C. Rearranging gives:
temperature,θ=
Rθ−R 0
αR 0
=
60 − 25
( 0. 0038 )( 25 )
= 368. 4 °C
Now try the following exercise
Exercise 128 Further problem on the
resistance thermometer
- A platinum resistance thermometer has a
resistance of 100at 0°C. When mea-
suring the temperature of a heat process
a resistance value of 177is measured
using a Wheatstone bridge. Given that
the temperature coefficient of resistance
of platinum is 0.0038/°C, determine the
temperature of the heat process, correct
to the nearest degree. [203°C]
24.5 Thermistors
A thermistor is a semi-conducting material — such
as mixtures of oxides of copper, manganese, cobalt,
etc. — in the form of a fused bead connected to two
leads. As its temperature is increased its resistance
rapidly decreases. Typical resistance/temperature
curves for a thermistor and common metals are
shown in Figure 24.6. The resistance of a typical
Semiconductor
Temperature
Nickel
Platinum
Copper
Resistance
Figure 24.6
thermistor can vary from 400at 0°C to 100
at 140°C.
Advantages
The main advantages of a thermistor are its high
sensitivity and small size. It provides an inexpensive
method of measuring and detecting small changes in
temperature.
24.6 Pyrometers
A pyrometer is a device for measuring very high
temperatures and uses the principle that all sub-
stances emit radiant energy when hot, the rate of
emission depending on their temperature. The mea-
surement of thermal radiation is therefore a con-
venient method of determining the temperature of
hot sources and is particularly useful in industrial
processes. There are two main types of pyrometer,
namely the total radiation pyrometer and the optical
pyrometer.
Pyrometers are very convenient instruments since
they can be used at a safe and comfortable distance
from the hot source. Thus applications of pyrometers
are found in measuring the temperature of molten
metals, the interiors of furnaces or the interiors of
volcanoes. Total radiation pyrometers can also be
used in conjunction with devices which record and
control temperature continuously.
Total radiation pyrometer
A typical arrangement of a total radiation pyrome-
ter is shown in Figure 24.7. Radiant energy from a