Page 107 - Fluid mechanics, heat transfer, and mass transfer
P. 107

FLOW MEASUREMENT
            84
                                                                       is linear over the entire flow meter range. For this
                                                                       reason, flow tubes are usually calibrated at only one
                                                                       velocity.
                                                                     & Magnetic meters can measure flow in both directions,
                                                                       as reversing direction will change the polarity but not
                                                                       the magnitude of the signal.
                                                                     & The K value obtained by water testing might not be
                                                                       valid for non-Newtonian fluids (with velocity-depen-
                                                                       dent viscosity) or magnetic slurries (those containing
                                                                       magnetic particles). These types of fluids can affect
                                                                       the density of the magnetic field in the tube.
                                                                     & In-line calibration and special compensating designs
                          Elements of an electromagnetic flow meter.
              FIGURE 4.26
                                                                       should be considered for both of these fluids.
                 & Figure 4.26 shows the elements of an electronic flow  & Thevelocity differences at different points of the flow
                  meter.                                               profile are compensated for by a signal-weighing
                 & When velocity profile is symmetrical and magnetic    factor. Compensation is also provided by shaping
                  flux density, B, is uniform, velocity is given by     the magnetic coils such that the magnetic flux will be
                                                                       greatest where the signal-weighing factor is lowest,
                                  V ¼ E=BD;             ð4:8Þ          and vice versa.
                                                                     & The voltage that develops at the electrodes is a
                  where V is the velocity, E the is voltage, B is the
                                                                       millivolt signal. This signal is typically converted
                  magnetic flux density, and D is pipe diameter.
                                                                       into a standard current (4–20 mA) or frequency
                 & A pair of magnetic coils is situated as shown in
                                                                       output (0–10,000 Hz) at or near the flow tube.
                  Figure 4.27 and a pair of electrodes penetrates the
                                                                     & Intelligent magnetic transmitters with digital outputs
                  pipe and its lining.
                                                                       allow direct connection to a distributed control
                 & Because the magnetic field density and the pipe
                                                                       system.
                  diameter are fixed values, they can be combined into
                                                                     & Because the magnetic flow meter signal is a weak
                  a calibration factor K and the equation reduces to
                                                                       one, the lead wire should be shielded and twisted if
                                    E ¼ KV:             ð4:9Þ          the transmitter is remote.
                                                                     & The electromagnetic flow meter comes commercial-
                 & Manufacturers determine K factor for each meter, by  ly as a packaged flow device, which is installed
                  water calibration of each flow tube. The K value thus  directly in-line and connected to an external elec-
                  obtained is valid for any other conductive liquid and  tronic output unit.



























                                                      Magnetic flow meter and its components.
                                         FIGURE 4.27
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