Definition and Influence of emissivity in non-contact temperature measurement
Introduction
Definition of emissivity
ε = Φr / Φs
Thus, emissivity is a nondimensional quantity or factor between 0 and 1, or between 0 and 100%.
Fig. 1 Composition of radiation received by the pyrometer’s sensor.
ΦΣ = ε * ΦO + ρ * ΦU + τ * ΦH
ε = Emissivity factor
ρ = Reflectivity factor
τ = Transmissivity factor
ΦO = Radiation from target object
ΦU = Ambient radiation (foreground)
ΦH = Radiation from background
The radiation coefficients are linked together in the equation:
1 = ε + ρ + τ
There will be no transmission of radiation through opaque objects; thus the transmissivity factor will not be applicable.
1 = ε + ρ
Factors with influence emissivity
Furthermore, the emissivity can change depending on the wavelength. This is especially true for metals. The ability of a metal to emit thermal radiation increases at shorter wavelengths. Therefore, for metal applications, it is best to select a pyrometer which measures at short wavelengths.
| Material | Wavelength |
|---|---|
| Glass | 4.8 µm |
| Plastic films made of PE, PP, PS | 3.43 µm |
| Plastic films made of PET, PA, PUR | 7.9 µm |
| Cold flue gases | 4.27 µm |
| Hot flue gases | 4.5 µm |
The emissivity of metals and glass also changes as a function of temperature. Through surface oxidation of liquid metal and during the liquid to solid transition the emissivity can change considerably.
As the temperature of a metal increases, so will the emissivity. In the case of glass, a higher temperature allows the pyrometer to see at a greater distance into the glass. This means that the pyrometer will measure at a depth below the glass surface, detecting thermal energy from within the object.
How atmosphere influences emissivity
To detect the actual temperature of the object a water-cooled sighting tube should be employed. This accessory serves to shield the pyrometer from interfering radiation from the furnace wall. In order to block the reflected radiation from entering the sight path, the tube diameter should measure at least six times the distance between the tube and the object.
Ways to determine emissivity
In actual practice, the total emissivity of the target object will vary, depending on the amount of extraneous radiation transmitted through the object from the background or reflected onto the object from the foreground. If you were to adjust the pyrometer for the theoretical emissivity value drawn from literature, the displayed temperature reading will be erroneously high.
To obtain an accurate temperature reading, the user will have to adjust the pyrometer for a somewhat higher emissivity than declared. We could call this a simulated increase in emissivity. Through a comparison measurement using a contact thermometer we can establish the actual emissivity of an object and adjust the pyrometer accordingly, provided that the contact thermometer measurement is very precise.
Alternatively, for temperatures up to approximately 250 °C, a sticker with a defined emissivity can be affixed to the target object.
When measuring high temperatures or if the target is difficult to access, such as in a vacuum furnace, a comparison measurement using a pyrometer for short wavelengths is recommendable, because for reasons of physics, the accuracy of the measurement will be greater at shorter wavelengths.
A disappearing modern intensity comparison pyrometer (Fig. 3) is ideal for this purpose. The technique of this instruments is based on a visual colour comparison at a wavelength of 0.67 µm.
This method’s effectiveness is not dependent on the size of the target object. The chart Fig. 4 demonstrates the effect of an incorrect pyrometer adjustment or a change in emissivity.
Fig. 2 Determine emissivity by comparison measurement on emission adhesive tape with defined emissivity.
Fig. 3 PV 11 intensity comparison pyrometer for precise optical temperature measurement.
Fig. 4 Measuring error as a function of the wavelength with a radiation change of 1 %.
Two-colour pyrometers measurements – irrespective of emissivity?
Two-colour pyrometers do offer clear advantages in situations which produce the same degree of signal attenuation at both channels, for instance when dust or smoke on the lens or in the instrument’s field of view partially obstruct the transmission of radiated energy to the pyrometer sensor. The temperature reading of the two-colour pyrometer will continue to be correct.
In particularly unfavourable or complex measuring conditions, it is recommendable to consider both the two spectral temperature values as well as the temperature reading based on the two-colour ratio. Depending on the result, the user can select the method which is best suited for his application and adjust the pyrometer accordingly.














