Page 384 - Dust Explosions in the Process Industries
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Propagation of Flames in Dust Clouds  353

               between  each flame appearance. This  finding is in agreement  with  Chapman and
               Wheeler’s (1926)observationsof vibratorypremixed gas flames in a laboratorytube open
               at both ends. They found that the “periodicity of the vibrations was that of the funda-
               mental tone of the tube.”  As already discussed and illustrated in Figure 4.36, Eckhoff et al.
               (1987) observed the same phenomenon during dust explosions in a large vertical silo
               of diameter 3.7 m, height 22 m, and vented at the top, provided the ignition point was
               in the upper part of the silo. Greenwald and Wheeler (1925) also measured explosion
               pressures at various locations in the large gallery. The maximum values recorded by the
               low-frequency-responsemanometers available at that time were 5.0 bar(g), 4.8 bar(g),
               3.3 bx(g), and 0.14bar(g) for the normally fully closed end fully closed, one-quarteropen,
               half open, and fully open, respectively. Pressure recordings further upstream were lower
               than this and decreased systematically with increasing distance to the downstream exit.
                 Fischer (1957)reported results from coal dust explosion experimentsin a 260 m long
               experimental coal mine gallery of equivalent-circle cross-sectional diameter of  3.2 m,
               that is, a LID of  about 80. The main purpose of these experiments was to investigate
               whether deposits of stone dust on shelves in the upper part of the gallery cross section
               would prevent the propagation of coal dust explosionsin the gallery. However, it appeared
               that, under certain circumstances,this stone dust had little effect and flame acceleration
               phenomena of the same violent type as found by Greenwald and Wheeler (1925) were
               observed, as shown in Figure 4.62.





                              ;RESrRE   tT CLOSED END Ibar(gl1
               E
               6  o,z y ;I
               w                                     ’
               f  0.0   ,   ,  ,  1   ’   ’  7 ,  ’   ’   ‘I  ’   ”   ”  ’   I   ”
                                                          ’
                                              ’
                   0       50       100     150     zoo      250
                            DISTANCE  FROM IGNITION POINT  AT  CLOSED END Iml
               Figure 4.62  Time of arrival of bituminous coal dudair flames as  a function ofthe distance from the
               ignition point at the closed end of a gallery of length 260 m and diameter 3.2 m, with pressure at the
               closed end as a function of time and nominal average dust concentration500 g/m3(From Fischer, 1957).
                 The coal dust explosion was initiated by an explosion of 40 m3 methane/air at the
               upstream, closed end of  the gallery. The gas was ignited by black powder, probably
               ensuring violent combustion of the gas. The blast from the gas explosion in turn swept
               up the coal dust layer of 4 kg per m length of gallery on the floor and initiated the self-
               sustained dust explosion down the entire length of the gallery. The most striking feature
               of Figure 4.62 is the very constant flame speed of  1040m/s,  measured from about 50 m
               from the closed end right to the open tube end, 200 m further down. Fischer associated
               this with “some kind of detonation” (see Section 4.5). The pressure versus time was
               recorded only at the upstream closed end of the gallery, because the explosion was so
               violent that all the measurement stationsfurther down the gallery were destroyed.As can
               be seen, the peak pressure at the closed end was about 5 bar(g). It would be anticipated
               that the pressures further down the gallery were considerably higher.
                 Jsst and Wagner (in Freytag, 1965) illustrated the various characteristic phenomena
               occurring during accelerationof premixed gas flames in long one-end-opentubes. There
               are good reasons for assuming that their overall picture, as reproduced in Figure 4.63,
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