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9.6 Flow Sensor Based on the Faraday Principle                                241

                                                  Flow channel
                                        SU8                 Polymer cover



                                            Silicon
                                           Upstream         Downstream
                                           cell (RE,WE,CE)  cell (RE,WE,CE)
                  Figure 9.33  Schematic cross-section of an electrochemical time of flight flow sensor (RE:
                  reference electrode, WE: working electrode, CE: counter electrode). The electrodes are 1 mm wide
                  and 100 nm thick, and the two cells have a distance of 1.5 cm from each other. The height of the
                  channel is 100 µm. (After: [101].)



                  of an electrical pulse (2V, 100 ms), water is dissociated at the working electrode and
                  a pulse of oxygen is released [see (9.1)] and transported downstream by the fluid
                  flow. There, the electrochemical cell functions as an amperometric oxygen sensor.
                  At a potential of −600 mV, the dissolved oxygen in the solution is reduced [see
                  (9.1)]. The current of the oxygen sensor is determined by the oxygen concentration
                  in the solution. Data for the electrochemical type flow sensor is given in Table 9.10.
                                                    +
                                         2HO ⇔   4H +  O +  4e −                         (9.1)
                                            2
                                                         2
                      The diffusion coefficient of oxygen, D, varies with temperature. Normally, D
                  changes by 2% per degree Celsius in aqueous solutions. Convection, however, is
                                                                 –5
                                                                      2
                  usually very fast compared to diffusion (D is ∼10 cm /s for oxygen at 25°C in
                  aqueous solutions) [101]. Therefore, it is possible to omit the diffusion in the flow
                  direction as long as the flow rate is not extremely slow, which implies that the meas-
                  urement of the flow sensor is temperature independent.
                      The flow sensor can also be set up for impedance measurement. Then the plati-
                  num working electrode and platinum counter electrode are connected to an imped-
                  ance meter. The produced oxygen forms microbubbles in the solution, which
                  increases the impedance of the solution. This setup was used for sensing the flow in
                  tap water. The applied potential to the oxygen producer was 4V.



            9.6   Flow Sensor Based on the Faraday Principle

                  This technique uses the physical principle that an electric potential is developed
                  when a fluid of low conductivity passes perpendicularly through a magnetic filed
                  [102]. By using an ac magnetic field (here 65 kHz), it is possible to extract the elec-
                  tric potential across capacitors formed through plates on both channel sides and an
                  isolating layer. This eliminates the need for electrodes in contact with the fluid. The




            Table 9.10  Data for Electrochemical Flow Sensor
            Author; Year      Flow Range  Sensitivity   Response Time Fluid      Chip Size
            Wu et al. [101]; 2002  1–15 µl/min  —       —           Water        —
   247   248   249   250   251   252   253   254   255   256   257