Page 43 - Instrumentation Reference Book 3E
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28  Measurement of flow
                                                     Due to  the  fact  that  the  flowmeter measures
                                                   velocity across the center of the pipe it is suscep-
                                                   tible  to  flow profile  effects, and care should  be
                                                   taken to ensure sufficient length of straight pipe
                                                   upstream  and  downstream  of  the  flowtube  to
            Vc--                                   minimize such effects. To overcome this problem,
                                                   some manufacturers use multiple-beam techniques
                          /
                         /                         where several chordal velocities are measured and
                        /
                                                   the  average computed.  However, it  is  still good
                                                   practice to allow for approximately  10 upstream
                                                   and 5 downstream diameters of straight pipe. Also
          Figure 1.34  Principle of operation  time-of-flight   since this type of flowmeter relies on transmission
          ultrasonic flowmeter.                    through  the  flowing medium,  fluids with  a  high
                                                   solids or gas-bubble content cannot be metered.
                                                     This type of flowmeter can be obtained for use
          projects  an  ultrasonic  beam  across  the  liquid   on  liquids  or  gases  for  pipe  sizes  from  75mm
          flowing in  a  pipe.  This  ultrasonic  pulse is  then   nominal bore up to 1500mm or more for special
          received on the other side of the pipe, where it is   applications and it is bi-directional in operation.
          converted back to an electronic pulse. The latter   Accuracy of better than fl per cent of flow rate
          is then received by the “first-arrival”  electronics,   can be  achieved over  a  flow range  of  0.2  to  12
          comparing its arrival time with the second pulse   meters per second.
          received directly. If the two pulses are received at   This  technique  has  also  been  successfully
          the same time, the period  of  time between them   applied to open channel and river flow and is also
          equates to the  time  taken  for  the first  pulse  to   now  readily  available  as a  clamp-on  flowmeter
          travel to its transducer and be converted to ultra-   for closed  pipes,  but  accuracy  is  dependent  on
          sound,  to  travel  across  the  flowstream,  to  be
          reconverted back to an electronic pulse, and travel
          back to the first-arrival position.
            Should the second pulse arrive before the first
          one, then  the time  between pulses is  too short.
          Then  the  first-arrival  electronics will  step down
          the  voltage  to  the  voltage-controlled  oscillator
          (VCO),  reducing  the  resulting  frequency.  The
          electronics will continue to reduce voltage to the
          VCO in steps, until the first and second pulses are
          received at the first-arrival electronics at the same
          time.  At  this  point,  the  periodic  time  of  the
          frequency will be the same as the ultrasonic flight
          time, plus the electronic delay time.
            If, now,  a  similar electronic circuit  is used to
          project an ultrasonic pulse in the opposite direc-
          tion  to  that  shown,  another  frequency  will  be
          obtained which, when subtracted  from  the first,
          will  give a direct measure of  the velocity of the
          fluid in the pipe,  since the electronic delays will
          cancel out.                              (a)   Flexible Conduit
                                                         Ceaxial cable  \
            In  practice,  the piezoelectric ceramic transdu-
          cers used act as both transmitters and receivers of
          the  ultrasonic  signals  and  thus  only  one  is
          required on each side of the pipe.
            Typically the flowmeter will consist of a flow-
          tube  containing  a  pair  of  externally  mounted,
          ultrasonic  transducers  and a  separate electronic
          converterltransmitter as shown in Figure 1.35(a).
          Transducers may  be  wetted  or  non-wetted  and
          consist  of  a  piezoelectric  crystal  sized  to  give
          the  desired  frequency  (typically  1-5  MHz  for
          liquids  and  0.2-0.5 MHz  for  gases).  Figure   Figure 1.35  (a)  Ultrasonic flowmeter. Courtesy,
          1.35(b) shows a typical transducer assembly.   Sparling Inc. (b) Transducer assembly.
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