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Ignition of Dust Clouds and Dust Deposits  407


               5.3.3
               lNFLUENCE OF SPARK DISCHARGE DURATION ON THE MINIMUM
               ELECTRIC SPARK  IGNITION ENERGY FOR DUST CLOUDS

               5.3.3.1
               Displacement of Dust Particles by Blast Wave from Spark Discharge

               The strong influence of the spark discharge duration on the minimum spark energy for
               ignition of dust clouds was probably first discoveredby Boyle and Llewellyn (1950).They
               were able to demonstratethat the minimum capacitor energy l/2CV2,C being the capac-
               itance and V the initial capacitor voltage, capable of igniting clouds of various powders
               in air decreased quite considerably when a series resistance was introduced in the dis-
               charge circuit. Some results obtainedby Boyle and Llewellyn are shown in Figure 5.13.




                                     90%  < 76 pm  GRANULAR  ALUMIN


                  0.4




                   0.2



                   0.0
                     10      10'      io3      IO4      105      106
                                    SERIES RESISTANCE  IS21

               Figure 5.1 3  Resulb fromignition of dust clouds by capacitivesparks, using an additionaiseries resist-
               ance in the discharge circuit (Data from Boyle and Llewellyn,  1950).

                 As can be seen, the minimum 'lzCV2for ignition decreased by a factor of about 10
               both for granular aluminum and magnesium, when a series resistance of  104-105Q was
               added to the discharge circuit. Similar trends were also found by these workers for dust
               clouds of ferromanganese, zinc, silicon, and sulfur.
                 Boyle and Llewellyn expressed their results in terms of stored capacitor energy '/2CV2.
               However, a large series resistance in the spark dischargecircuit, during discharge, absorbs
               a significant fraction of the capacitor energy, so that the energy delivered in the spark
               gap is considerably lower than l/2CV2.This fractionhas been determined experimentally
               by various workers, as shown by Eckhoff (1975). From independent investigations, it
               can be concludeld that, with the capacitances used by Boyle and Llewellyn and using a
               series resistance in the range 104-107 Q, the net spark energies were only on the order
               of 5-10%  of the stored capacitor energy l/2CV2.
                 This, in turn,means that, in the experiments of Boyle and Llewellyn, an inclusion of
               a series resistance of  104-105Q in the discharge circuit reduced the minimum net spark
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