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194                       Applied Process Design for Chemical and Petrochemical Plants

             reads 100 psia vapor pressure. Then follow the slant lines   have similar (not necessarily identical) performance char-
             (parallel) to read the scale for NPSH reductions, that is,   acteristics.  The  three  main  characteristics  of  capacity,
             feet at 9.5 ft.                                       head, and rotative speed are related  into a single term
                Now the pump selected reads NPSHR on its pump per-   designated  “specific speed” [ 251. The expression for spe-
             formance curve of 12 feet for cold water service.     cific speed is the same whether the pump has a single or
                                                                   double suction impeller.
                Now, % of 12 ft   = 6 ft                             The  principle  significance of  specific  speed  for  the
                Figure 3-46 reads  = 9.5 ft reduction              process engineer is to evaluate the expected performance
                Corrected value of NPSHR to use = 6 ft, since 9.5 ft is   of  a second  pump in  a particular manufacturer’s series
                  > % the cold water value                         while basing it on the known performance  (or curve) at
                                                                   the point of  optimum  efficiency of  a first and different
             Example 3-11: Alternate to Example 3-10               size pump. In effect the performance of any impeller of a
                                                                   manufacturer’s homologous series can be estimated from
                Assume that a boiler feed water is being pumped at 180   the  known  performance  of  any  other  impeller  in  the
             OF.  Read the chart in Figure 3-46 and the water vapor pres-   series, at the  point  of  optimum efficiency. Figures  3-48
             sure curve, and follow over to  read  NPSH  reduction  =   and 3-49 represent the standardized conditions of essen-
             0.45 feet. A pump selected for the service requires 6 feet   tially all pump manufacturers.
             cold water service NPSHR:
                                                                     A  typical  “operating specific  speed” curve  is shown
                %of6 = 3ft                                         in Figure  3-50 and represents a technique for plotting
                Value from chart for 180°F  = 0.45 ft reduction    the  specific  speed  on  the  operating  performance
                Then correct NPSH,  to use  = 6 ft - 0.45 ft = 5.55 ft   curve. Figure 3-50 represents a 6-inch pump operating
                                           required by the pump    at  1760 rpm, with  maximum  efficiency  at  1480 GPM
                                           for this service        and 132 feet head  [25]. The operating specific speed is
                                                                   zero  at no flow and increases  to  infinity at  the  maxi-
             Specific Speed                                        mum  flow of  2270  gpm  and zero  head.  Stable opera-
                                                                   tions beyond about 1600-1700 gpm cannot be planned
                The specific speed of a centrifugal pump correlates the   from  such  a  curve with  a  sharp  cutoff drop for head
             basic impeller types as shown in Figure 3-47.         capacity.
                The formula for specific speed index number is:       “Type specific speed” is defined as that operating spe-
                                                                   cific speed that gives the maximum efficiency for a specif-
                                                                   ic pump and is the number that identifies the pump type
                N,  =  nfi/H3/4                           (3-11)
                                                                   [25]. This index number  is  independent  of  the rotative
                                                                   speed at which the pump is operating, because any change
             where: (2 is the GPM capacity at speed n in rpm and head H.   in speed creates a change in capacity in direct proportion
                H is the total head per stage, in feet.            and a change in head that varies as the square of the speed
                The principle of dynamical similarity expresses the fact   [25]. Practice is  to  “true type” the specific speed  of  the
              that two  pumps geometrically similar to  each  other will   pump reasonably close to the conditions of maximum effi-


                I   I    I   I  I  I  I         I      I          I      I    I    I   I   I   I  I       I       I1
                                                                        *
                I                                      cu                     m-  a- F a(-  m-g-          ..
                         Impeller                   Values  of Specific Speed
                                                           Impeller Shrouds





                      Radial -Vane  Field           Francis-Screw  Field   Mixed-Flow  Field   Axial-Flow  Field

             Figure 3-47.  Impeller designs and corresponding specific speed range. (By permission, Standards of the Hydraulic Institute, 10th ed.) Also
             see [17], Hydraulic Institute, 13th ed., 1975.
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