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9.2 Thermal Flow Sensors                                                      223

                                 Thermopile
                                              Heater
                                                                              Sensor



                                   Electronics





                                                               Heater
                             Flow                                              Flow
                                       (a)                               (b)
                  Figure 9.8  (a, b) Schematics of velocity and direction-sensitive flow sensors. (a) (After: [28]); and
                  (b) (After: [29]).



                      Figure 9.9 shows a typical micromachined calorimetric flow sensor. Gold resis-
                  tors sit on a low-stress silicon nitride bridge spanning a fluidic channel (Figure
                  9.10). A typical measurement curve of a calorimetric type micromachined flow sen-
                  sor operated in constant power mode is given in Figure 9.11, and simulated sensor
                  temperatures as a function of the volume flow in given in Figure 9.12.


                  9.2.1.3  Time of Flight Sensors
                  In this category of thermal sensors, the heater is continually pulsed with a certain
                  amount of electrical energy. This heat pulse is carried away from the heater by the
                  flowing fluid, and the temperature sensor is used to measure the time delay between







                                        Nitride grid
                                                        Heater




                                      Inlet                          Outlet
                                                   T u        T d









                        µ
                     200 m
                          EHT - 1.00 kV  I Probe = 20 pA  WD = 44mm  SignalA=SE1  Date: 22 Mar 2001
                  Figure 9.9  SEM photograph of a silicon micromachined calorimetric flow sensor. The chip is 4
                          2
                  × 7.5 mm , shown without the Pyrex cover. The fluidic channel is 580 µm wide. (Courtesy of
                  Southampton University, Microelectronics Center, England.)
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