Page 545 - APPLIED PROCESS DESIGN FOR CHEMICAL AND PETROCHEMICAL PLANTS, Volume 1, 3rd Edition
P. 545

Applied  Process Design                                   511

                                            Vent Release  Pressure   Maximum  Pressure  During Venting
                                          11                                  I  I             I
                                    .,r--Pstat =0.1  bar ga           P,ed  = 0.2 bar ga  -------.   I           �
                                                                                 -------. -,
                                  /  ,--Pstat =0.2  bar ga
                                                                      P,ed  = 0.4  bar ga
                               .,
            '              ilv  v  /  //  ,--  P,tat = 0.5 bar ga     P,ed  = 0.6 bar ga  -------. -,  "  �   r..   / i.,,""   ��  �
                                                                                                             �""'
              '
                              /.,
                                                                                        "
                                                                      P,cd  = 0.8 bar ga  -------.  <,
                                  /
                                                                                          "\.[\
              \  �
                                                                                                           ....  �
                                                                                                         v
                                                                                             r.. '"'�
            '  \  .� \.   /   ..,.,  v                                P,ed  =  1  .0 bar ga  �  <,   '  ""   //  L,.,  i,  ...  �
                                                                                                           ��
                 '\  '\.'<...,  �  ii                                 P,ed  =  1 .5 bar ga  -------.  '"  '  "'\  Y  .. -:  � �  , ...  ... �
                                                                                             r..
                                                                                        r..
                   '\.'�                                              P,ed  = 2.0 bar ga   "'\  ,"  �   "' '  .»  �  /  vv  ;�
                                                                                             r....-�
                                                                               I
                                                                                                              i..,
                                                                                                      //  I/I,,'
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                                "  I\.\  l'-..                         //   ,.,.;   /h  ->  /  /  ,.,.;
                                                                                        ....
                                                                           .,
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                                                                                V/  /
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                                           '  "  �\            ,  /:     , v"   �   ,                 I  I    I
                                             �'                v..o: v  v .,,,,"                      l  i   .
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                                               ' "  �               v  v                              !
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                   I                                'I\.'\.'\  v
              I                                        '\. '
              i                                          '
           50           10                                0.1                  10              100              1000
                              ----Vent Area, m 2                           Vessel  Volume,  m 3   .,.
            Figure 7-63C. Venting nomograph for coke gas.  Reprinted with  permission,  NFPA 68-1988, Deflagration Venting,  (1988)  National  Fire Protec-
           tion Association,  Quincy,  MA 02269. See note Figure 7-63A.
              Using the cubic equation presented earlier,  Bartknecht   When  the relief device relieves,  the explosion pressure
            [54]  developed for vessels  of different sizes  for the  same   falls off,  but then it increases faster than in the beginning
            process system;  in closed or vented vessels, valid for flam-   due  to  the  opening of the  relief when  the  flame  front is
            mable gases and combustible dusts:                   distorted  creating  an  acceleration  of  the  combustion
                                                                 process  [54].  Thus,  there  are  two  pressure  peaks  in  the
                                                                 course  of the  relieving:  ( 1)  at the  activation  of the relief
                                                                 device  due  to  pressure  buildup  in  the vessel,  and  (2)  at
                                                                 the end  of the combustion  reaction.  The first pressure  is
                                                                 always  greater than  the second.  The second pressure  rise
                                                                 is created by turbulence during the venting process  [54].
            where  A 1  =  initial vessel relief area,  sq meter
                 A2  =  second vessel  relief area,  sq meter
                  V = volume of vessels 1  and 2,  respectively,  cu meters   K" or Kst values, which are a  measure of the character-
                  f =  specific relief area,  sq meter/  cu meter,  from F = I V,   istic for the course of an explosion  (gas or dust)  of vessels
                     and r,  V,  113   = f2  \12113  at same P, 1 a 1  and P,ect   roughly cubic in shape, are  termed deflagratiou  indices.
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