Page 56 - Applied Process Design For Chemical And Petrochemical Plants Volume II
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Distillation                                           45

               This suggests that caution must be exercised when estab-
             lishing a tray efficiency for any type contacting device by (1)
             using actual test data if available for some similar system or
              (2)  comparing several  methods  of  predicting  efficiency,   2.5 .
             and (3) possible use of a more conservative efficiency than
             calculated to avoid the possibility of ending up with a com-
             plete column with too few actual trays-a   disastrous situa-   -
                                                                   ‘MV
             tion if not discovered prior to start-up operations.   EOG
               Sakata [180]  evaluates the degree of mixing of the liq-
             uid as it flows across a tray and its effect on the tray effi-
             ciency, Figure 8-30. For plug flow the liquid flows across
             the tray with no mixing, while for partial or “spot” mixing
             as it flows over the tray, an improved tray efficiency can be
             expected. For a completely mixed tray liquid, the point
                                                                          I
             efficiency for a small element of  the tray, EOG, and tray   PERFECTLY   3   5      7      9       II     13
             efficiency, EMV, are equal.                                 MIXED       NUMBER  OF   MIXING   POOLS,  n
               From  Figure  8-31  the  effect  of  mixed  and  unmixed
                                                                    Figure 8-31. Typical effect of liquid mixing on tray efficiency. Reprint-
             “pools”  of liquid can be noted. For a completely mixed tray,   ed by permission, Sakato, M., The American Institute of  Chemical
             there is no concentration gradient from inlet to outlet, and   Engineers. Chem.  Eng.  Pmg- V. 62.,  No. 11 (1966), p. 98, all rights
             therefore the entire tray has a uniform composition. The   reserved; reprinted by permission from Lewis, W. K., Jr., Ind. & Eng.
             degree of mixing across the tray as determined by the num-   Chem.  V.  28.  (1936), p. 399, and by special permission from  Frac-
             ber of discrete mixing pools on the tray has an effect on   tionation Research, Inc., all rights resewed.
             the relationship between EOG and Ew as a function of A.

             where  h = mV/L
                   m  = slope of vapor-liquid equilibrium curve      Ryan et. al. [185]  examined the prediction of misting
                   V = vapor rate, lb mols/hr                      and bubbling in towers, tray and packed, and assessed the
                   L = liquid rate, lb mols/hr                     impact.

               Hughmark  [ 1811  has proposed  empirical correlations                Batch Distillation
             for better fit of experimental data to transfer units and thus
             tray efficiency comparison with the AIChE method [2].   Batch distillation [129, 130, 131, 133, 138, 140,142, 1701
                                                                   as compared to continuous distillation is used for process
                                                                    requirements in which  (1) feed composition may change
                                                                   from batch to batch; (2) batches are relatively small fixed
                        CURVE   I:  LIQUID  PLUG  FLOW,   VAPOR
                                 COMPLETELY   MIXED                volumes  of  a  mixture  wherein  certain  components(s)
                                                                    is/are  to  be  separated into relatively pure  components,
                        CURVE  2:   LIQUID  PLUG  FLOW,  VAPOR   UNMIXED
                                                                    leaving a  heavier residue;  (3) the  process improvement
                                                                    requirement is  on an irregular cycle; and  (4)  negligible
                                                                    holdup in the column (when used) and condenser relative
            -                                                       to that in the receiver and kettle. The system operates on a
            EMV
            EOG
                                                                    fixed feed quantity, thereby yielding a fixed distillate and
                                                                    residue. See Figure 8-32. In the batch operation the vessel
                                                                    is charged with a fixed amount of liquid mixture that is to
                                                                    be separated by  boiling in the charge vessel, allowing the
                                                                   vapors to rise either through an open, trayed column, or
                                                                    packed column contacting section above the ‘‘pot,” then
                   0      0.2    0.4     0.6    0.8     1.0         condensing  the  vapors,  and  collecting  the  components
                                        E OG                        according to their boiling points. Thus, the separation can
                                                                    be developed by  the boilup to collect essentially only, or
              Figure 8-30.  Effect of vapor  mixing on tray Mciency.  Reprinted by   nearly only,  the light boilers, then followed by  the next
              permission, Sakato, M., The American Institute of Chemical Engineers,   higher boiling fraction and collecting it, etc., until the light
             Chem. Eng. Pmg. V.  62, No. 11 (1 966), p. 98, all rights resewed; reprint-
             ed by permission from Lewis, W.  K., Jr., Ind & Eng. Chem. V. 28 (1 936),   ends and the heavies or residues are at the collection and
             and by special permission from Fractionation Research, Inc.   concentration levels desired.
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