Page 498 - Dust Explosions in the Process Industries
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Sizing of Dust Explosion Venfs  465

               equation (6.8), which may be used in the venting theory to predict maximum vented
               explosion pressures, Pred.It is then assumed that the rate of heat release in the vented
               explosion versus time is the same as in the unvented explosion.
                 As for the other theories discussed, a centralrequirement for obtaining reasonable pre-
               dictions is that the state of the dust cloud in the closed-bombtest used for predicting the
               explosion violence corresponds to the state of the dust cloud in the vented explosion of
               concern.


               6.5.10
               CONCLUDING REMARKS

               In all the theories just outlined, the modeling of the burning rate of the dust cloud is
               incomplete. The situation may be improved by making use of systematic correlations
               of burning rates and initial dust cloud turbulence intensities determined experimen-
               tally in controlled explosion  experiments  and measurements of  typical turbulence
               intensities in various industrial plants. The studies of Tamanini and coworkers, dis-
               cussed in Section 6.4, constitute a valuable step in this direction. The approach for the
               future is probably further development of the type of more comprehensivetheories dis-
               cussed in Section 4.4.8 in Chapter 4.



               6.6
               PROBABILISTIC NATURE OF THE PRACTICAL VENT
               SIZING PROBLEM

               6.6.1
               BASIC PHILOSOPHY

               This aspect of  the venting problem was treated by Eckhoff (1986). Section 1.5.1 in
               Chapter 1 gives a general overview of the probabilistic element in designing for dust
               explosion prevention and mitigation.
                 Considera specificprocess unit, part of a specificindustrialplant in which one or more
               specific combustible materials are produced or handled in powdered or granular form.
               The process unit can be a mill, a fluidized bed, a bucket elevator, a cyclone, a storage
               silo, or any other enclosure in which explosible dust clouds may occur.
                 Assume that the plant can be operated for 1 million years from now, with no system-
               atic changes in technology, operating and maintenance procedures, knowledge and atti-
               tudes of personnel, or in any other factor that might influence the distribution of the ways
               in which dust clouds are generated and ignited. One can then envisagethat a certain finite
               number of explosionincidents will occur during the l-million-yearperiod. Some of these
               will be only weak “puffs” whereas others will be more severe. Some may be quite vio-
               lent. Because it is assumed that “status-q~o~~conditionsare reestablished after each inci-
               dent, the incidents will be distributed at random along the time axis from now on to a
               million years ahead.
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