Page 274 - 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
                                                           (4-35)         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,
             z 1  =  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 4-12):

                =  150µm  (d  =  0.0005 ft)                          J  =  2(r 2  - h 2)  1 2                   (4-37)
                                                                                 1
             Reference  [32]  recognizes  that  this  is  generally  on  the   �=�                              (4-�)
             safe  side,  because  droplets  generated by  agitation  range
                                                                                                2
             500  to  5000  urn,  turbulent droplet range  200  to  10,000   AL= l/2 m 2   - h(r 2   - h 2)112   - r arc  sin(h/r)   (4-39)
             µm. Due to limitations of  design methods, decanters sized
             for droplets  larger than 300 µm 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) (n:/180)
             uniform flow equal to the overflow rate. To identify which
             is  the continuous  phase  (from  [65]  by  [32]):

                                                                     DL  =  4 AJ  (J  +  P)                     (4-41)
                                                          ( 4- 36)
                                                                     Da =  4 A1-i/  (I  + 2 nr - P)             ( 4-42)
                e       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  [32]:
                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  QJ  = dispersed volumetric flow rate,  cu ft/sec   c  = continuous phase
                    Qi,  = volumetric flow rate, cu ft/sec, light phase   Dr-I  =  hydraulic diameter,  ft  =  4  (flow area for the phase in
                   Qi-1  = volumetric flow rate, cu ft/sec, heavy phase   question/wetted perimeter of the flow channel)
                    PL  = density oflight phase fluid, lb/cu ft     vc  = velocity down  the flow channel
                    PH  =  densi Ly of heavy phase fluid, lb/  cu ft
                    µH  =  viscosity of heavy phase,  lb/  (ft) (sec)
                    µL  =  viscosity of light phase, lb/(ft) (sec)   Guidelines for successful decanters  [32]:

                To  begin,  there is a dispersion band through which the                         Results
             phases must separate.  Good practice  [32]  normally keeps   < 5000                 little problem
             the vertical  height of the  dispersed phase,  Hn  <  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
                l/2H 0 A 1 /Qn >  2  to 5 rnin                     =============================

             where  Ar  = area of interface assuming flat interface, sq ft   Velocities  of both  phases  should  be  about  the  same
                    Ai.  = cross-sectional area allotted to light phase, sq ft   through  the  unit.  By  adjusting  mechanical  internals,  a
                   AH  = cross-sectional area allotted co heavy phase, sq ft   ratio  of «  2:1  is  suggested  (internals  do  not  need  to  be
                   H 0  =  height of the dispersion band, ft       equal) [32]. Velocities  for entrance  and  exit at the vessel
                   Qn  = volumetric flow,  dispersed phase,  cu ft/sec   nozzle should be low,  in the range of0.5 lo 1.5 ft/sec. The
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