Page 28 - Reciprocating Compressors Operation Maintenance
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Reciprocating  Compressors and Their Applications  1 5


           However, since air or gas is elastic, compressor  capacity varies widely
         as pressure conditions change. For instance, with a given intake pressure,
         machine capacity is considerably less when discharging at  100 psi than at
         50 psi. This  makes it  impossible  to rate  a given  compressor  for a given
         capacity. The only practicable rating is in terms of piston displacement—
         volume swept by the moving piston during one minute.

         PISTON  DISPLACEMENT


           The  piston  displacement is  the  net  volume actually displaced by  the
         compressor  piston at rated machine speed, as the piston travels the length
         of its stroke from  bottom dead center  to top dead  center.
           In  Figure  1-8,  the  entire  stroke,  and thus  the  piston  displacement,  is
         represented by the travel of the piston from  points B-H.
           This  volume is usually expressed  in cubic  feet  per  minute. For multi-
         stage units, the piston  displacement  of the  first  stage  alone  is commonly
         stated as that of the entire machine.
           In  the case of a double-acting cylinder,  the  displacement  of the crank
         end  of  the  cylinder  is  also  included.  The  crank  end  displacement  is,  of
         course, less than the head end displacement by the amount that the piston
         rod  displaces.
           The  piston  displacement  (PD)  for a  single-acting  unit is  readily  com-
         puted by the following formulas:

            1. Calculating PD for a single-acting cylinder:


              PD = AHEx   —xrpm
                               F
                          12
              Where AHE = area of head end of piston in square feet
                       S = stroke in inches
                     rpm = revolutions per minute
                      PD = piston D is displacement in cubic feet per minute
           2. Calculating PD for a double-acting cylinder:

                          S                 S
              PD = AHE x — x rpm + ACE x — x rpm
                               F
                                                F
                          12               12
              Where ACE = area of crank end of piston in square  feet
              This can be approximated by the expression:
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