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9.2 Thermal Flow Sensors                                                      217

                  isopropanol [39]. After priming, the system has to be flushed for a long time with
                  the working liquid in order to remove the alcohol completely. Prior degassing of the
                  liquids [39] or the use of high pressure for a short time to wash out the bubbles [4]
                  may be successful.
                      As one can see, flow sensing is very complex. Fluid flow is already a science by
                  itself, and furthermore, various principles can be used for flow sensing.


            9.2   Thermal Flow Sensors


                  The overwhelming majority of micro flow sensors described so far work in the ther-
                  mal domain. It is also thermal flow sensors that are produced commercially million
                  fold. They are placed in car air intake systems used for motor efficiency control and
                  in air conditioning systems. The commercial production of flow sensors began only
                  about 8 years ago with the replacement of conventional flow sensors in cars [40]. In
                  this section, mostly recent publications have been cited, but there are numer-
                  ous other publications from the last 20 years that deal with thermal flow sen-
                  sors. Thermal flow sensors have been classified into three basic categories (see
                  Figure 9.5 [41]):

                      • Anemometers;
                      • Calorimetric flow sensors;
                      •  Time of flight sensors.
                      For most materials, the electrical resistivity changes with temperature. There-
                  fore, this parameter has been chosen for the thermal flow measurements. Various
                  materials have been used to form resistors. The higher the TCR, the better the sensi-
                  tivity to temperature changes and thus to flow rate. Platinum [17, 29, 42], gold [43],
                  polysilicon [44, 45], Ni-ZrO cermet films [46], amorphous germanium [47, 48],
                                             2


                                                            P el  T

                                            Flow
                                       (a)                         Q
                                                       Heater = T sens

                                                             ∆T
                                                             P el
                                            Flow                  Q
                                       (b)
                                                       T sens1  Heater  T sens2
                                                              ∆T
                                                     P el
                                            Flow
                                       (c)                    Q
                                                     Heater      T sens
                  Figure 9.5  Schematic of the working principles of thermal flow sensors: (a) anemometer (heat
                  loss), (b) calorimetric flow sensors (thermotransfer), and (c) time of flight sensors. (After: [41].)
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