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230                                                                    Flow Sensors

          Table 9.3  Data for Commercial Flow Sensors
          Company       Flow Range   Sensitivity/  Response Time  Fluid; Operating Maximum
                                     Resolution                 Temperature   Overpressure
          Robert Bosch  <1,000 kg/h  —             —            Air; –40°C to  —
          GmbH [73]                                             +120°C
          HL Planartech-  —          —             —            Air; –40°C to  —
          nik GmbH [74]                                         +120°C
          Fraunhofer Insti- 2–700 g/s  —           2 ms         Air           —
          tute for Silicon
          Technology [75]
          HSG-IMIT [61]  10µl/h to 5 l/h  4 mV/K   5 ms         Liquid        —
                        0.01–50 slpm 1  4 mV/K     5 ms         Gas           —
          Sensirion AG  150 nl/min to  50 nl/min   20 ms        Water; +10°C to 5 bar
          [62]          ±1,500 µl/min                           +50°C
                        1 nl/min up to 50          50 ms        Water         100 bar
                        µl/min
                        0.01–400 sccm 2  0.01 sccm 2            Nitrogen      2 bar
                        bypass: <100                            Nitrogen; 0°C to —
                        l/min                                   +70°C
          Leister [77]  0.01–200 sccm 2  —         2 ms         Gas; –10°C to  10 bar
                                                                +70°C
          SLS Micro Tech- 0.01–1,000  0.3 mV/µl    230 µs       Gas; –20°C to  3.5 bar
                           2
          nology [78]   sccm (with                              +120°C
                        bypass)
          GeSiM [79]    1–70 µl/min  100 µV/(µl/min) —          Water         40 bar
          Mierij Meteo  0.2–25 m/s   0 to 360°     1 sec        Air; –25°C to  —
          [80]                                                  +70°C
           slpm = standard liter per minute.
          1
          2
           1,000 sccm = 1 l/min.




                 pressure drop along a flow channel with known fluidic resistance, R , and calculat-
                                                                              f
                 ing the flow Q from the fluidic equivalent to Ohm’s law: Q = ∆p/R . It is comparable
                                                                            f
                 to measuring the current (Q) in an electric circuit by sensing the voltage drop (∆p)
                 over a fixed resistance (R ).
                                       f
                    The sensor presented by Cho et al. [81] uses a silicon-glass structure with capaci-
                 tive read-out [Figure 9.22(a)]. Fluid enters the chip through the inlet at pressure p ,
                                                                                          1
                 flows through a channel and leaves the sensor with pressure p . If the flow channel is
                                                                       2
                 small enough to create a resistance to the flow, a pressure drop ∆p appears across
                 the channel. The pressure above the membrane and the pressure at the inlet are kept
                 equal. The pressure difference is measured by a capacitive pressure sensor, which is
                 switched at 100 kHz.
                    Capacitive pressure sensing principles are also used in the devices described by
                 Oosterbroek [82, 83]. In addition, a hybrid piezoresistive readout was fabricated.
                 Two separate capacitive pressure sensors were used for the sensor shown in Figure
                 9.22(b). This enables the measurement of both pressure and volume flow rate. For
                                                                                          5
                 example, a 340-µm-wide channel has a resistance for ethanol of 1.7 × 10 –12  Ns/m .
                 The paper [83] also gives a detailed model to predict the sensor’s behavior. An
                 advantage of this sensor design is that the capacitor electrodes are not in contact
                 with the fluid, thereby avoiding any short circuit and degradation due to aggressive
                 fluids. Also, the sensor has a robust design using a glass/silicon/glass sandwich.
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