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Doppler anemometry 183

            80
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            60


         3
         E40
         E
         a
         z
         u)
            20




             0
               0       20       40      60       80      100
                         Coherence Length (No of Fringes)
         Figure 12.1 6  Signal/noise ratio versus coherence length: enhancement effect of the two-wavelength method for different
         source separations AA  (Chen etal.1993).
                = 1 - exp [- ri A) ’1             12.4.1  Introduction
         and when the.first synthetic wave dominates:   12.4  Doppler anemometry

                                         (12.21)   The use of  optical fibers in anemometry applica-

         for  Z(6 f A)  < Z(b + A,,/2)            tions  provides  two  main  operating  advantages.
                                                  The first is that it allows Doppler  type measure-
         In the latter case it can be  seen that the central   ments to be made in remote and inaccessible areas.
         fringe is  now  enhanced  by  a  factor  of  approxi-   The second is that it allows measurements to be
         mately  (A/AA)’  over  the  single wavelength case   made in environments that are normally opaque to
         (e.g., about 40 for AI  = 670 nm and A2  = 830 nm)   optical radiation, and the fiber probe can be intro-
         for large wavelength differences. In both cases a   duced within the medium to make in vivo measure-
         minimum signal noise ratio of  -20  log (AZ/2) is   ments. This latter point is particularly relevant to
         required  to  identify  the  central  fringe  directly   liquids where laminar flow rates, for example, are
         through its amplitude. The results are shown graph-   difficult to measure across the flow area.
         ically in Figure 12.16: the upper curve represents   Here,  three  specific  applications  of  optical
         the SNR,i,  of a single multimode laser diode and   fibers in  anemometry are described. The first is
         the  four lower curves represent  the  SNR,i,   for   their  use in the measurement  of  the size qf  par-
         the system using dual sources with ANA ratios of   ticles in a fluid medium, the second considers the
         0.24,0.19,0.15, and 0.08, respectively. The shaded   measurement  of  fluid  flow  velocities,  and  the
         bands  represent  the  coherence  length  ranges  of   third is the use of optical fibers in three applica-
         typical types of low coherence sources, Le., LED,   tions to vibration monitoring.
         SLD, and  multimode  laser  diodes.  The  discon-
         tinuity in the curves is a direct result of the com-   12.4.2  Particle size
         petition  between the first  neighbor  and the first
         synthetic fringes. The main attraction of the two-   This technique (Ross et al.  1978; Dyott  1978) is a
         wavelength method described is that, because the   particularly  interesting and  useful  application  of
         central  fringe  is  the  point  at  which  both  inter-   optical fiber anemometry and relies on the Doppler
         ferometers  are in  balance,  the  variations  in  the   shift  introduced  in  radiation  reflected from  sus-
         source wavelength will have a minimum effect on   pended  particles  moving  under  the  influence  of
         the measurement  process, and therefore it is not   Brownian motion. It has been used in many appli-
         necessary to provide a high degree of wavelength   cations: for sizing suspended particles in emulsions,
         stabilization in order to use the method  success-   oils, and  bacteria, as well  as for determining the
         fully.                                   mobility of spermuzola in cattle breeding use. The
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