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202                                                      Chapter 5

                 1   r  (25.56) 2  kg-m 2  0.0893  bar  1x10 5  N  1 m  3  !
               = ——  |  ————————     +  ——————    ———————      —————     =
                                                        2
                0.65  L   2   kg-s 2     1         1  m -bar  1.179kg  J


                    4
                                     4
           = 1.216xl0  N-m/kg orl.216x!0  J/kg (5.23 Btu/Ib)
                The shaft  power,
                      1670  m 3  1  h  1.179  kg  1.216xl0 4  J  1  kW-s
              — m  W  —   ____        ____         _______
           Pp  —  HI  VV f  —  ——————————  ————————  ————————————  ———————————————  —  —————————————
                        1   h  3600  s   1  m 3     1    kg   1000  J
           = 6.651kW

           P F = 6.651 kW / 0.7457 kW/hp = 8.919 hp
                The electric motor efficiency  is 0.95.  The motor horsepower,

           P E = 8.919/0.95 = 9.388 hp

                Therefore,  select  a  standard  10 hp  (7.46  kW)  motor,  which  gives  a  safety
           factor  of  6.52%.


           COMPRESSORS
           Figure 5.7 shows that  positive-displacement  compressors,  like vacuum pumps,
           are divided into two main classes: reciprocating and rotary.  Table 5.4 lists char-
           acteristics of these compressors.  Ludwig [14]  discusses compression equipment
           and calculation methods in detail.

           Positive-Displacement Compressors
           Reciprocating  compressors  consist  of  direct-acting  and  diaphragm  types.  The
           direct-acting compressor  consists of one or more  cylinders, each with a piston
           or  plunger  that  moves  back  and  forth.  A  gas  enters  or  leaves  a  cylinder
           through valves that  are activated by the  difference  in pressure  in  the  cylinder
           and  intake  or  discharge.  When  the  pressure  in  the  cylinder  drops  below  the
           inlet  pressure,  a  valve  opens  allowing  gas  to  flow  into  the  cylinder.  After
           compressing the  gas to  a pressure  above  the discharge pressure,  the discharge
           valve  opens  allowing  gas  to  flow out.  This  is  illustrated  in  Figure  5.8  for  a
           double-acting  reciprocating  compressor,  i.e.,  the  gas  is  compressed  during
           both the forward  and backward  stroke  of the piston.  The  valves  in Figure  5.8
           are  not  shown  in  any  detail.  If  the  piston  is  just  a  straight rod,  called
           a  plunger,  the  compressor  cannot  be  double  acting.  An  advantage  of  a




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