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Compressors, Pumps, and Turbines                              243


            of  67 % at a rotational  speed  of 31,000 rpm.  The recovered power  can be used
            to drive a pump or compressor.
                 The energy available in  a high-pressure  liquid or gas process  stream must
            be balanced by the  energy required by a compressor  or pump. Thus, the power
            delivered  by  an  energy-recovery  turbine  must be  absorbed  at the  same  rate  by
            the  compressor  or pump. Also,  a gas turbine, turboexpander,  and  hydraulic  tur-
            bine require an electric motor or steam turbine for starting the driven machinery.
            Figure  5.22  illustrates a system for starting  an axial compressor which is driven
            by an expander.  At startup, the energy from the expander is not available so that
            the electric motor drives the compressor.  When the processes approaches steady
            operation, the  expander  supplies  some  of the  energy to operate the  compressor.
            Eventually,  the process reaches  steady  state,  and the  motor may  continue
            to  supply power to the compressor if there is insufficient  power delivered by the
            expander.  If the power delivered by the expander exceeds the power needed by
            the  compressor,  then  the  excess  power  will  be  absorbed  by  the  generator  and
            delivered to the plant's electrical-distribution system.

            PUMPS

            Like compressors, pumps are divided into two main categories according to their
            principle  of  operation,  positive-displacement  or  dynamic.  In  positive-
            displacement  pumps, pressure is developed by trapping a quantity of liquid in a
            chamber and then compressing it to the discharge pressure.  In a dynamic pump,
            the  fluid  first  acquires  kinetic  energy  which  is then  converted  to  pressure.  The
            classification  of pumps  according to this  scheme  is  shown in  Figure  5.24,  and
            some  characteristics  of  selected  pumps  are  given  in  Table  5.13.  Examples  of
            these pumps are shown in Figure  5.25  For a more detailed discussion of pumps
            than will be given here, the reader should refer to Holland and Chapman  [45].



            POSITIVE-DISPLACEMENT PUMPS
            The  characteristic  feature  of positive-displacement pumps is that ideally they will
            deliver the same volume of liquid at every stroke regardless of the discharge pres-
            sure.  In practice,  the  flow  rate  will  decrease  with  increasing  pressure  because  of
            increasing leakage pass the seals. This is shown by the characteristic curve in Fig-
            ure 5.26.  The characteristic curve, which is supplied by the pump manufacturer, is
            a plot  of pressure  or head  against  the  flow  rate  of water.  Head  is the  height of a
            column  of  liquid  that  exerts  a pressure  equal  to  a given pressure.  The  difference
            between the ideal and actual flow rate is called slip.  A very high pressure will be
            developed if the discharge line of a positive-displacement pump becomes blocked.
            Thus, in  order to prevent damage to the pump and piping,  a pressure relief  valve
            must be  installed  across  the pump.  As  soon  as the design pressure  is  exceeded,
            the relief valve automatically opens and discharges liquid into the pump inlet. Be-




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