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9.2 Thermal Flow Sensors                                                      221

            Table 9.1  Data for Anemometer Type Flow Sensors
            Author; Year  Flow Range   Sensitivity    Response Time  Fluid      Chip Size
            Stemme et al.  0.8–30 m/s  0.01–0.5       50 ms        Air          —
            [55]; 1986                 (mW/m/s)/(mW)
            Ebefors et al.  0–60 l/min  —             120–330 µs   Air          3.5 × 3 × 0.5
            [64]; 1998                                                          mm 3
            Wu et al. [44,  <20 nl/min;  8, 40, and 180  —         Water        —
            45]; 2000, 2001 resolution: 0.4  ppm/(nl/min)
                         nl/min
            Chen et al. [65]; —        —              50 µs        —            —
            2002
                                   1
            Dittmann et al.  0.1–500 sccm ;  —        —            Nitrogen     5.5 × 4.5 × 1.2
            [67]; 2001   1 µl/min to 2.5                           Water        mm 3
                         ml/min
             1 sccm = 1 ml/min
            1




                  as the transported heat is connected to the fluid parameter (e.g., the specific heat or
                  the thermal conductivity). For various flow measurement ranges, the distance
                  between the sensors can be adjusted symmetrically up- and downstream of the
                  heater. The output signal is the difference in temperature between the up- and
                  downstream sensors. The prominent measurement circuit is the Wheatstone bridge.
                  Calorimetric flow sensors are able to operate at very low flow rates. A few examples
                  of calorimetric flow sensors are presented below. Table 9.2 gives the reader an idea
                  about the measured flow ranges, sensitivities, and sensor dimensions.
                      The sensor by Glaninger et al. [50] has thin-film germanium thermistors used as
                  heater and temperature sensors. The flow sensor chip from Oda et al. [53] is com-
                  posed of one heater and four thermopiles, consisting of 9 or 23 thermocouples each,
                  and has a dynamic range of 1:1000 for air flow measurements. A sensor fabricated
                  only by CMOS compatible technology was presented by Häberli et al. [54]. Lyons
                  et al. [49] use silicon-carbide heater and sensing elements due to the excellent
                  mechanical stability (better than silicon by a factor of 2 to 4) and thermal stability
                  (melting point of silicon-carbide is 2,800°C). The devices are able to sustain harsh
                  environmental and operating conditions. Porous silicon, as thermal isolation, was
                  used by Kaltsas et al. [52]. The very small sensor chip has a polysilicon heater and







                                   [V]
                                   signal

                                   Output





                                     0
                                                    Flow velocity
                  Figure 9.7  Typical measurement curve of an anemometer type micromachined flow sensor oper-
                  ated in constant power mode.
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