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278  Temperature measurement

            14.6  Measurement techniques
             radiation thermometers

             14.6.1  Introduction
            As was mentioned in Section 14.1, thermal energy
            may be transferred from one body to another by
            radiation as well  as by conduction. The amount
             of  thermal  energy  or  heat  leaving  a  body  by   A
             radiation  and  the  wavelength of  that  radiation
             are functions of the temperature of the body.
              This dependence on temperature  of  the char-
             acteristics  of  radiation  is  used  as  the  basis  of
             temperature  measurement  by  radiation  therm-
             ometers. Radiation thermometers are also known
             as “radiation pyrometers.”

             14.6.1.1  Blackbody radiation
             An ideal blackbody is one that at all temperatures
             will  absorb  all  radiation  falling  on  it  without
             reflecting any  whatever in  the direction  of inci-
             dence. The absorptive power of the surface, being
             the  proportion  of  incident  radiation  absorbed,
             will  be  unity.  Most  surfaces do not  absorb  all
             incident radiation but reflect a portion of it. That
             is,  they  have  an  absorptive  power  of  less  than
             unity.
              A blackbody  is also a perfect radiator.  It will
             radiate  more  radiation  than  a  body  with  an
             absorptive power of less than unity. The emissive
             power is called the “emissivity” of a surface. The
             emissivity is the ratio of the radiation emitted at a   Figure 14.42  (a) Blackbody radiator, (b) absorption of
             given  temperature  compared  to  the  radiation   ray of radiation by blackbody radiator.
             from  a perfect blackbody  at the  same tempera-
             ture.
               The total emissivity of  a body  is the emissive   be  at a  uniform  temperature.  To  show that  the
             power over the whole band  of thermal radiation   orifice B behaves as a blackbody, consider the ray
             wavelengths and is represented by  E~. When only   of  radiation  C entering the chamber  through B.
             a  small  band  of  wavelengths is  considered  the   The ray will suffer many reflections on the inside
             term “spectral emissivity” is used. and a subscript   walls  of  the  enclosure  before  it  emerges  at  B.
             is  added defining the wavelength band,  e.g., ~1.5   Provided  the walls of the  chamber  are not per-
             indicates the emissivity at 1.5 pm wavelength.   fectly reflecting the total energy of the radiation
               The  emissivity  of  surfaces is  not  usually  the   will have been absorbed by  the many reflections
             same  over  all  wavelengths  of  the  spectrum.  In   before  the  ray  can  emerge. The  orifice  is  then
             general  the  emissivity  of  metals  is  greater  at   totally absorbing all radiation that enters it. It is
             shorter wavelengths and the emissivity of oxides   a blackbody.
             and refractory materials is greater at longer wave-   To show that the orifice must also radiate as a
             lengths.  Some materials  may  have  a  very  low   blackbody first consider a body in a radiant flux
             emissivity at  a  particular  wavelength band  and   at  any  single wavelength. If  that  body  did  not
             higher  emissivities at  shorter  and  longer  wave-   radiate  energy  at  that  wavelength as  fast  as  it
             length.  For  instance,  glass has an  emissivity of   absorbed it, it would rapidly get warmer than its
             almost zero at 0.65 pm.                  environment.  In practice a body will be  at ther-
                                                      mal equilibrium with its surroundings so it must
             Realization of  a blackbody radiator  A blackbody   be radiating energy as it receives it.
             radiator  is  achieved in practice by  an enclosure,   Therefore  the  emissivity  E  of  a  body  must
             A  in  Figure  14.42,  having  a  relatively  small   equal its absorbance a, The orifice B which is a
             orifice  B  from  which  blackbody  radiation  is   blackbody  absorber  must  also  be  a  blackbody
             emitted.  The inside walls of  the  enclosure must   radiator.
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