Page 51 - Valve Selection Handbook
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38                   Valve Selection  Handbook

               The impinging  of the opposing liquid  particles of the collapsing  vapor
             bubble produces locally high but  short-lived  pressures.  If the  implosions
             occur  at  or  near  the  boundaries  of  the  valve  body  or  the  pipe  wall,  the
             pressure  intensities  can  match  the  tensile  strength  of  these  parts.  The
             rapid  stress reversals  on the surface and the pressure  shocks  in the  pores
             of the boundary surface lead finally  to local fatigue failures that cause the
             boundary surface to roughen until, eventually, quite large cavities  form.
               The  cavitation performance  of a  valve is  typical  for  a particular valve
             type,  and  it is customarily defined by  a cavitation index, which indicates
             the degree of cavitation  or the tendency of the valve to cavitate. This para-
             meter  is  presented  in  the  literature  in  various  forms. The  following  is  a
                                                                        21 22
             convenient index used by the United States Bureau of Reclamation. -





               where
               C  = cavitation index
               P v  = vapor pressure relative to atmospheric pressure  (negative)
               P d  = pressure in pipe  12 pipe diameters downstream of the valve seat
               P u  = pressure in pipe 3 pipe diameters upstream of the valve seat

               Figure  2-11  displays  the  incipient  cavitation characteristics  of butter-
             fly, gate, globe, and ball valves, based on water as the flow  medium. The
            characteristics  have  been  compiled  by  the  Sydney  Metropolitan  Water
             Sewerage  and Drainage Board,  and are based  on laboratory  observations
             and  published  data. 23  Because  temperature  entrained  air,  impurities,
            model  tolerances,  and the  observer's  judgment influence the  test results,
            the graphs can serve only as a guide.
               The  development  of  cavitation can  be  minimized by  letting  the  pres-
            sure  drop  occur  in  stages.  The  injection of  compressed  air  immediately
            downstream  of  the  valve minimizes  the  formation  of  vapor  bubbles  by
            raising  the  ambient  pressure.  On  the  debit  side,  the  entrained  air  will
            interfere  with the reading of any downstream instrumentation.
               A  sudden  enlargement  of  the  flow  passage just  downstream  of  the
            valve seat can protect the boundaries of valve body and pipe  from  cavita-
            tion damage. A chamber with the diameter of  1.5 times the pipe  diameter
            and  a  length  of  8 times  the  pipe  diameter  including the  exit  taper  has
                                                               24
            proved satisfactory for needle valves used in waterworks.
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