Page 178 - Mechanical Engineer's Data Handbook
P. 178

FLUID MECHANICS                                                                   167

         Power and  eficiency                                      A

         Overall efficiency rt.  = flmrtvrth
                        gHQ
         Input power P = p -
                         ‘IO
         Inlet angles

         Diffuser (fixed vanes):
                          Vf2
         Inlet angle a = tan -  -
                          VW2
                            a2
          Outlet velocity V3 = V2 -
                            a3
         Vane :
                           Vfl
          Inlet angle fl, =tan-  - (assuming no whirl)
                           VI1                        Static and total eficiencies
                                                                                             v:
                                -.lbCI-                                     Total head HI= no+-
                                  I  I                Static head = H,
                                                                                             %
                                                      Static pressure=po=pgHo  Total pressum=Pp,=pgHt

                                                      Static efficiency  = ‘I, =o PQ   Total efficiency = q1 = P~Q -
                                                                       P                     P
                                                     4.1.2   Pump characteristics

                                                      Pump characteristics are plotted to a base of flow rate
                                                      for a fixed pump speed. Head (or pressure), power and
                                                      efficiency are plotted  for  dl&rent  speeds to give  a
                                                      family of curves. For a given speed the point at which
                                                      maximum  efficiency  is  attained  is  called the  ‘best
         Pump volute                                  etficiency  point’  (B.E.P.). If  the  curves  are plotted
                                                      nondimensionally a single curve is obtained which is
                            Q                         also the same for all geometrically similar pumps.
         Velocity in volute  V, = -
                           A4
         where: A4=maximum  area. Then:



                                A4
          Pump outlet velocity V, = V, -
                                A0
          where: A,=outlet  area.
                                   v:
                                          v,’
          Pressure head at outlet Ho= H --- K” 5
                                   28
          where: K,=dHuser  and volute discharge coefficient.
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