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9.5 Nonthermal Time of Flight Flow Sensors                                    239

                                                                           Mounting part
                                                                           (to turbine wheel)


                                                       Blades                      Strain gauge
                                                                  Wheel
                                                                  axis
                                                                                    Stiffness
                                                                                    reduction
                                                                                    beam


                          Blades

             Top view        α     w                           Pipe
             of blades                                         wall
                                                                                    Supporting
                       Flow            Static turbine  Insert for                   part
                                                     torque sensor
                          (a)          wheel      (b)                      (c)
            Figure 9.31  Schematic of the static turbine flow meter setup. (a) Top view of the static turbine
            wheel. When the flow passes between the blades it changes direction and the momentum change
            transfer gives rise to a force on the wheel, which is detected by the torque sensor. (b) Side view of
            the static turbine wheel of 15.8-mm diameter in a channel. (c) Torque sensor; the two sides of the
            sensor are identical. The torque-sensing element is a 300-µm-thick, 2-mm-wide, and 16-mm-long
            silicon cantilever. The stiffness reduction beams are 20 µm wide and 100 µm long. (After: [98].)


                  resulting in a measurement of the bending moment from the turbine wheel. The
                  most efficient wheel in the published analysis had a blade length of 2.7 mm and a
                  blade angle of 30°. Data for the flow sensor can be found in Table 9.8.



            9.5   Nonthermal Time of Flight Flow Sensors



                  9.5.1  Electrohydrodynamic
                  This method is based on the measurement of the ion transit time between two grids
                  [99]. The principle of such a sensor is based on the injection of charge at one elec-
                  trode grid and the subsequent detection of a charge pulse at a second grid. The
                  charge is carried along by ionic species. The transit time will increase or decrease
                  depending on the flow rate and is therefore a direct measure of the fluid flow rate.
                  The charge density is influenced by the electrochemistry of the pumping fluid, the
                  electrode material, the electrode shape, and the applied voltage. The sensor is
                  fabricated using two silicon wafers structured with KOH and bonded by an inter-
                  mediated, 4-µm-thick, sputtered Pyrex layer. The metallization is made out of
                  NiCr/Ni/Au. A schematic of the sensor is depicted in Figure 9.32(a). A voltage of





            Table 9.8  Data for Flow Sensor Using a Static Wheel and Torque Sensor
            Author; Year  Flow Range   Sensitivity  Response Time  Fluid       Chip Size
            Svedin et al. [98]; 80 l/min  4.0       —             Air          —
            2001                       (µV/V)/(l/min)
   245   246   247   248   249   250   251   252   253   254   255