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Separator Design                                                337


            erations  affect  the  spacing.  For  example,  when  separating  oxygen  and  nitrogen
            from  liquid air, heat transferred  to the  fractionator  from  the  surroundings must be
            minimized, and thus, the  fractionator  surface  area must be a minimum. This con-
            sideration results in a tray spacing of as low as 6.0 in (0.152 m) [48].
                 The  height  of  a packed  fractionator  is  equal  to  the  number  of  equilibrium
            stages  times the  height equivalent  to  a theoretical  stage  (HETS).  Although this
            method is not rigorous, Ulrich  [50]  remarked  that  it is disquieting to  find  that the
            HETS does not vary much in commercial columns after  having spend hours learn-
            ing  to  calculate combined  mass  transfer  coefficients.  For  fractionator  diameters
            less  than  0.5  m  (1.64 ft), Frank  [33] recommends  the  rule  of  thumb  that  D  =
            HETS,  and  for column diameters greater than 0.5 m (1.64 ft), the HETS is given
            by Equation 6.27.26 [50].
                 Besides the height occupied by trays or packing, additional height is needed
            at  the  top  and  bottom of  the  fractionator.  Henley  and  Seader  [31] recommend
            adding 4.0  ft (  1.22  m) to the top of the  fractionator  to minimize entrainment  and
            10.0  ft (3.05 m) to the bottom for surge capacity.  For  fractionators  or absorbers of
            about three feet in diameter, Walas [51] recommends that 4.0 ft (1.22 m) be added
            to  the  top  and  6.0  ft (1.83 m)  to  the bottom of  the  column.  Ulrich [50]  recom-
            mends that the  volume below  the bottom tray be  sufficient  for 5 to  10 min  surge
            time which results in  1.0 to 4.0 m (3.28 to  13.1  ft) of  additional height.  Thus,  as
            an approximation add 4.0 ft (1.22 m) to the top of the  column and a surge  height,
            L s,  to  the  bottom of  the  column.  The  surge  height  is  calculated  from  Equation
            6.27.16.  The  diameter  of  a  fractionator  or  absorber  is  usually  limited  to  13.0 ft
            (3.96  m) and  the  length to about 200 ft (60.9 m)  because  of  shipping limitations.
            If  lengths larger than  200  ft (60.9 m)  are  necessary, then  two  vessels  in  series
            could be used.  Exceptions to rules-of-thumb  sometimes occur.  One of the largest
            fractionators  -  made in Europe -  is 356 ft (109 m) high and 21.0  ft (6.40 m) in
            diameter [47]. Another large ethylene fractionator  built in Deer Park, TX,  is 328 ft
            (100  m)  high  by  18  ft (5.49  m)  in  diameter  [9].  This column  was  fabricated  in
            sections and assembled at the site.
                 For  the relationships listed in Table 6.27, assume that the  fractionator  pres-
            sure is constant.  If needed, the pressure  drop across the  column  can be estimated
            by the rules-of-thumb given in Table 6.29.
                 Safety  factors  are  needed  in  fractionator  design because  of  uncertainty  in
            system property  data,  unsuspected  trace  components  in  the  feed,  difference  be-
            tween plant and design conditions -  particularly in feed  composition and flow rate
            -  and variable operating conditions caused by controllers and by plant upsets [54].
            Besides,  the  reasons  for  safety  factors  stated  above  by  Drew  [54], the  factors
            should  also  depend  on  the  uncertainties  of  the  calculation  procedure.  Different
            safety factors  are required for large and small fractionators  as shown in Table 6.30.
            This  occurs because  engineering  costs  for  small  fractionators  are  comparable  to
            equipment  costs,  whereas  for  larger  fractionators  equipment  costs  dominate.
            Therefore,  for large  fractionators  a more thorough design  is justified  to  save  5 to
            10 % of equipment costs, which results in a smaller safety factor.




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