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320  Dust Explosions in the Process Industries






































                                               Figure 4.32  Temperature  variation  with time at four
                                               fixed locations in a  103 g/m3 lignite/air  dust flame prop-
                                               agating in a vertical duct of 88 mm x 35 mm rectangu-
                                               lar cross section. Temperatureprobe locations: (a) 2 mm
                0.0   04   0.8   1.2   1.6   2.0   from duct wall, (b) 6 mm from duct wall, (c) 26 mm from
                                               duct wall, and (d)  44 mm from duct wall (=duct center)
                             IGNITION          (From Klemens and Wolanski,  1986).


             marked temperature fluctuations recorded at fixed points in the flame during this kind
             of experiments, as shown in Figure 4.32.
               The amplitudes of the temperature oscillation with time are substantial, up to 1000 K.
             The very low temperature of almost ambient level at about 1.1 s in Figure 4.32(b) shows
             that, at this location and moment, there was probably  a pocket of  cool air or a very
             dilute, noncombustible dust cloud. Klemens and Wolanski (1986) were concerned mainly
             with quite low dust concentrations. From a quantitative analysis of their data, they con-
             cluded that the thickness of  the flame front was  11-12  mm, whereas  the total flame
             thickness could reach 0.5 m due to the long burning time (and high settling velocities)
             of the larger particles  and particle  agglomerates. The flame velocities relative to the
             unburned  mixture of 0.5-0.6  m/s were  generally about twice the velocity  for lean
             methane/air mixtures in the same apparatus. This was attributed to the larger flame front
             area for the dust/air mixture and the intensification of the heat and mass exchange
             processes in the dudair flame. Even for Reynolds numbers of less than 2000 (calculated
             as proposed by Zeldovich et al., 1980) eddies, generated by the nonuniform spatial heat
             generation rate caused by the nonuniform dust cloud, could be observed in the flame front.
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