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220                                                                    Flow Sensors

                 suspended sensor setup has a far better sensitivity. This sensor chip has a very high
                 pressure drop due to the small channel size. A three-dimensional anemometer was
                 presented by Ebefors et al. [64] and is described later within the turbulent flow
                 measurement section. Using the same fabrication technology as for the drag force
                 flow sensor described below, Chen et al. [65] presented an out-of-plane hot wire
                 anemometer made of chrome/nickel [Figure 9.6(c)]. In a later publication Chen et al.
                 [66] sandwiches the nickel between platinum to reduce the oxidation of nickel while
                 in operation. Although the sensor is very fast, it is doubtful that it will find a com-
                 mercial application as the thin wire is prone to be damaged. Researchers from the
                 Forschungszentrum Karlsruhe, Germany, produced a flow sensor made of polymer,
                 combining surface micromachining, molding, and diaphragm transfer technology
                 [Figure 9.6(d)] [67].
                    A typical measurement curve of an anemometer type micromachined flow sen-
                 sor operated in constant power mode is shown in Figure 9.7, and data for various
                 sensors are given in Table 9.1.


                 9.2.1.2  Calorimetric Flow Sensors (Thermotransfer)

                 For calorimetric flow sensors, at least two elements are required. Most of the sensors
                 presented in this category use a heating element with temperature sensing elements
                 up- and downstream rendering the sensor bidirectional. The upstream sensor is
                 cooled by the flow and the downstream sensor is heated due to the heat transport
                 from the heater in the flow direction [Figure 9.5(b)]. Thus, the amount of heat meas-
                 ured is proportional to the flow rate. The sensors need to be calibrated for each fluid


                                                                                    Inlet
                     Flow                                 Channel  Inlet  Nitride
                        Temperature
           Heating      sensitive diodes  Silicon   Heater              Heater
           resistor                     base
                                                  Nitride
               Polyimide  Cantilever                                                Suspended
               insulator
                                                                       Outlet       channel
                                                     Outlet
                          (a)                                  Silicon           Silicon
                                                                     (b)
                            Hot wire
                          Flow                                     Polymer
                                                              Inlet  housing  Outlet
                   Support beam/                                       Hot wire
                   electrical lead
                                                               Flow
                         Bond
                         pad   Bending                        Polyimide  Fluid
                               joint                          membrane   channel
                            (c)                                      (d)
                                                                       2
          Figure 9.6  Schematics of anemometers: (a) The sensing part is a 400 × 300-µm area suspended
          at the end of a 30-µm-thick and 1.6-mm-long silicon beam, thermally isolated by a polysilicon
                                                                 3
          trench. (After: [55].) (b) The channel dimensions are 2 × 20 × 2,000 µm . At the right, the
          channel is suspended for better thermal isolation. (After: [44, 45].) (c) The hot wire is made of
          100-nm-thick and 50-µm-long chrome/nickel, suspended above the wafer plane by two 0.4-mm-
          long beams. (After: [65].) (d) A gold or platinum thin-film is enclosed in a 2.4-µm-thick polyimide
          membrane. (After: [67].)
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