Page 298 - Instrumentation Reference Book 3E
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282  Temperature measurement

            14.6.2. I   Total radiation therinonwter
            In this type of instrument. the radiation emitted by
            the body whose temperature is required is focused
            on a suitable thermal-type receiving element. This
            receiving element may have a variety of forms. It
            may be a resistance element. which is usually in the
            form of a very thin strip of blackened platinum, or a
            thermocouple or thermopile. The change in tem-
            perature of the receiving element is then measured
            as has already been described.
              In  a  typical  radiation  thermopile a  number  of
            thermocouples made  of very fine strips are con-
            nected  in  series  and  arranged  side  by  side,  or
            radially  as in the  spokes of a wheel, so that  all
            the hot junctions, which are blackened to increase
            the  energy-absorbing  ability,  fall  within  a  very
            small target area. The thermoelectric characteris-
            tics of the thermopiles are very stable because the
            hot  junctions  are  rarely  above  a  few  hundred
            degrees  Celsius,  and the  thermocouples  are not
            exposed to the contaminating atmosphere of the
            furnace. Stability and the fact that it produces a   Figure 14.48  Thermopile for use in total radiation
            measurable e.m.f. are the main advantages of the   pyrometer.
            thermopile as a detector. In addition, thermopiles
            have  the  same  response  to  incomiiig  radiant
            energy regardless of wavelength within the range   The total radiant flux emitted by the source will
            0.3 - 20pm.  The  main  disadvantage  of  the   be given by
            thermopile  is  its  comparatively  slow  speed  of   R = €OAT:           (1 4.30)
            response  which  depends  upon  the  mass  of  the
            thermocouple  elements,  and  the  rate  at  which   where E is the total emissivity of the body, A is the
            heat is transferred from the hot to the cold junc-   area  from  which  radiation  is  received, u is  the
            tions. Increase in this rate of response can only be   Stefan-Boltzniann  constant,  and  T  the  actual
            attained  by  sacrificing  temperature  difference   temperature of the body.
            with a resultant loss of  output. A typical indus-   This  flux  will  be  equal  to  that  emitted  by  a
            trial  thermopile  of  the  form  shown  in  Figure   perfect  blackbody  at  a  temperature  T,,  the
            14.48 responds to 98 percent of a step change in   apparent temperature of the body:
            incoming radiation in 2 seconds. Special thermo-
            piles  which  respond  within  half  a  second  are   R = O  ~  ~  ;      (14.31)
            obtainable but they have a reduced e.m.f. output.   Equating the value of R in equations (14.30) and
              In order to compensate for the  change in the   (14.3  1):
            thermopile output resulting from changes in the
            cold junction  temperature  an  ambient  tempera-   E~AT~  AT:
                                                               =
            ture  sensor  is  mounted  by  the  cold junctions.
            Alternative  thermal detectors to thermopiles are                         (14.32)
            also used. Thermistors and pyroelectric detectors
            are currently in use. The advantage of thermistors
            is that they can be very small and so have a quick
            speed  of  response.  Their  main  disadvantage  is
            their  non-linearity, though  this is not  so great a   The actual correction to be applied to the appar-
                                                     ent  temperature  is  given  in  Figure  14.49. Table
            disadvantage  as  with  a  direct  measurement  of   14.16  shows  the  emissivity  of  some  metals  at
            temperature  because  provision  has  to  be  made   different temperatures.
            to linearize the radiated energy signal anyway.   The radiation from a hot object can be made to
                                                     approximate  much  more  closely to  black  body
            Correction for einissivitjj  When the temperature   radiation  by  placing a  concave reflector  on  the
            of a hot object in the open is being measured, due   surface. If the reflectivity of the reflecting surface
            regard must be given to the correction required for   is r, then it can be shown that the intensity of the
            the difference between the emissivity of the surface   radiation which would pass out through  a small
            of the object and that of a perfect blackbody.   hole in the reflector is given by
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