Page 272 - APPLIED PROCESS DESIGN FOR CHEMICAL AND PETROCHEMICAL PLANTS, Volume 1, 3rd Edition
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244                      Applied Process Design for Chemical and Petrochemical Plants

             The same results can be achieved with internal flat plate    h  = distance from center to given chord of a vessel, ft
             baffles and outlet nozzles.                                  I  = width of interface, ft
                                                                          D = decanter diameter, ft
                                                                          L = decanter length, ft
                                                                          r  = vessel radius, ft
             zh  = heavy phase outlet dimension from bottom of horizontal
                 decanter                                            Horizontal vessels as cylinders are generally more suit-
             zi  = interface measured from bottom                  able for diameters up to about 8 feet than other shapes,
             z1  = light phase outlet measured from bottom of decanter   or vertical, due in part to the increased interfacial area
                                                                   for interface formation. For a horizontal drum (See Fig-
               Droplet diameter, when other data is not available:   ure 412):

                = 150pm (d = 0.0005 ft)

             Reference  [32] recognizes that  this is  generally on  the
             safe side, because droplets generated by  agitation range
             500 to  5000 pm,  turbulent droplet range  200  to  10,000   AL  = 1/2 nr'  - h(r'  - h')1/2  - r2 arc sin(h/r)   (439)
             pm. Due to limitations of design methods, decanters sized
             for droplets larger than 300 pm often result in being too   or use  the  methods  from  the  Appendix  to  calculate
             small to work properly  [32].                         area of a sector of a circle. The arc is in radians:
               The continuous phase moves through the vessel on a    Radians = (degrees) (x/lSO)
             uniform flow equal to the overflow rate. To identify which
             is the continuous phase  (from [65] by  1321):          AH  = nr2 - AL

                                                                     D,  = 4 AL/(I + P)
                              0.3
               e = -(--'I PLFH
                    QL
                                                          (4- 36)
                   QH                                                DH = 4AH/(I + 2 xr  - P)
                8       Result                                     where P = 2r arc cos (h/r)
                < 0.3   light phase always dispersed
                0.3-0.5  light phase probably dispersed              Degree of turbulence  [321:
                0.5-2.0  phase inversion probable, design for worst case
                2.0-3.3  heavy phase probably dispersed
                > 3.3   heavy phase always dispersed                                                           (4-43)

             where  Q = dispersed volumetric flow rate, cu ft/sec   c = continuous phase
                      = volumetric flow rate, cu ft/sec, light phase   DH = hydraulic diameter, ft = 4 (flow area for the phase in
                   @ = volumetric flow rate, cu ft/sec,  heavy phase    question/wetted  perimeter of the flow channel)
                    pL  = density of light phase fluid, Ib/cu  ft   v,  = velocity down the flow channel
                    PH  = density of heavy phase fluid, lb/cu ft
                    p~ = viscosity of heavy phase, lb/(ft) (sec)
                    pL = viscosity of light phase, lb/(ft) (sec)   Guidelines for successful decanters [32]:

                To begin, there is a dispersion band through which the   K                       Results
             phases must separate. Good practice  [32] normally keeps   < 5000                   little problem
             the vertical height of  the dispersed phase, HD < 10% of   5000-20,000              some hindrance
             decanter height  (normally a horizontal vessel), and:   20,000-50,000               major problem may exist
                                                                   Above 50,000                  expect poor separation
                1/2H&/Q,  > 2 to 5 min

             where  AI  = area of interface assuming flat interface, sq ft   Velocities  of  both  phases  should  be  about  the  same
                   AL = cross-sectional area allotted to light phase, sq ft   through  the  unit.  By  adjusting  mechanical  internals,  a
                   AH  = cross-sectional area allotted to heavy phase, sq ft   ratio  of < 2:l  is  suggested  (internals do not need  to be
                   HD  = height of the dispersion band, ft         equal) [32]. Velocities for entrance and exit at the vessel
                   QD  = volumetric flow, dispersed phase, cu ft/sec   nozzle should be low, in the range of 0.5 to 1.5 ft/sec. The
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