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Actuators and Actuated Microsystems                                           121

                  liquids from 3M Chemicals of St. Paul, Minnesota. Their boiling point ranges
                  from 56° to 250ºC, and they exhibit large temperature coefficients of expansion
                  (~ 0.13% per degree Celsius). They are also electrically insulating and have a high
                  dielectric constant. Clearly, the choice of control liquid determines the actuation
                  temperature and, correspondingly, the power consumption and switching times of
                  the valve.
                      The NO-1500 Fluistor normally open gas valve provides proportional control
                  of the flow rate for noncorrosive gases. The flow rate ranges from 0.1 sccm up to
                  1,500 sccm. The maximum inlet supply pressure is 690 kPa (100 psig) , the switch-
                                                                                 4
                  ing time is typically 0.5s, and the corresponding average power consumption is 500
                  mW. The NC-1500 Fluistor is a normally closed gas valve (see Figure 4.33) with
                  similar pressure and flow ratings, but its switching response is 1s and it consumes
                  1.5W. Because the Fluistor relies on the absolute temperature—rather than a differ-
                  ential temperature—of the control liquid for actuation, the valve cannot operate at
                  elevated ambient temperatures. Consequently, the Fluistor is rated for operation
                  from 0° to 55ºC. The normally closed valve measures approximately 6 mm × 6 mm
                  × 2 mm and is packaged inside a TO-8 can with two attached tubes (see Chapter 8).
                  The packaging is further discussed in Chapter 8.
                      U.S. Patent 4,966,646 (October 30, 1990) describes the basic fabrication steps
                  for a normally open valve; however, the fabrication details of a normally closed
                  valve are not publicly available. The following process delineates the general steps
                  to fabricate a normally closed valve. The features in the intermediate silicon layer
                  are fabricated by etching both sides of the wafer in potassium hydroxide. The
                  front-side etch forms the cavity that will later be filled with the actuation liquid. The
                  etch on the bottom side forms the fulcrum as well as the valve plug. Accurate timing
                  and a well-controlled etch rate of both etches ensure the formation of the thin




                                               Pyrex

                                                   Resistive
                                                   heater
                                                   Silicon
                                                  Fluorinert
                                                  filled cavity
            Pyrex
            Pivot point
                                                  Outlet port
                            {111} plane        Diaphragm
                                                                            (b)
                                (a)
            Figure 4.33  Illustration of the basic operating mechanism of a normally closed micromachined valve from
            Redwood Microsystems. (a) The upper stage of the valve normally blocks fluid flow through the outlet ori-
            fice. The inlet orifice is not shown. (b) Heating of the Fluorinert liquid sealed inside a cavity flexes a thin sili-
            con diaphragm which in turn causes a mechanical lever to lift the valve plug. (After: Fluistor valve
            specification sheet of Redwood Microsytems of Menlo Park, California.)


            4.  Fluid flow through an ideal orifice depends on the differential pressure across it. The volume flow rate is
               equal to CA  2∆ P ρ where ∆P is the difference in pressure, ρ is the density of the fluid, A is the orifice
                       D  0                                                        0
               area, and C is the discharge coefficient, a parameter that is about 0.65 for a wide range of orifice
                         D
               geometries.
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