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Propagation of Flames in Dust Clouds  349


                In general, Schuber found that MESG decreased with decreasing initial turbulence in
              the dust clouds.This is in harmony with the decreaseof the minimum electric spark energy
              for ignition of both gases and dust clouds with decreasing turbulence. To ensure con-
              servativeresults, Schuber’sexperimentsto establishcorrelationsbetween MESG and dust
              properties were conducted with comparativelylow initial turbulence in the dust clouds.
              Schuber correlated his experimental MESG values with the product of minimum elec-
              tric spark ignition energy and the dimensionless minimum ignition temperature (right-
              most column in Table 4.14) and the result is shown in Figure 4.57, where 1 g is the length
              of the gap (width of the flanges (3) in Figure 4.54).








                                      0  lg=A mm
                                      A  lg=50 mrn
                16’  1   I      I     I      I
                  1     10     102    io3    104   105
                               MIE  x   [mil
                                   273
              Figure 4.57  Correlations  between  MESC  and ignition sensitivity  of dust  clouds  for  various gap
              lengths (From Schuber, 1989).
                There is an increase of MESG with increasing gap length from 0 to 50 mm by a factor
              of 2 to 3. For a constant gap length, there is a fair correlation between MESG and the
              ignition sensitivityparameter used. A closer examination of this parameter reveals that
              (TI + 273)/273 is in Ihe range 2-3  for most of the dusts in Table 4.14, which means that
              the double-logarithmic correlation in Figure 4.57 is essentially between MESG and
              ME. Schuber found that MESG approached a constant value as 1g approached 50 mm.
              This value was considerably smaller than the laminar quenching distance.For example,
              Schuber’s value for corn starch/air at 1 g = 50 mm was  1.8 mm, whereas the laminar
              quenching distance found independently by Jarosinski et al. (1987) and Proust and
              Veyssiere (1988) was 6-7  mm. Schuber’s asymptotic value of 1.8 mm agrees well with
              the MESG of  1.5-2.2  mm found for corn starch/air by Jarosinski et al. (1987).
                An important general conclusion from Schuber’s(1988) work is that, for a fairly long
              gap length of 25 mm, MESG for gases, vapors, and organic and sulhr dusts in air can
              be correlated with MIE (TI + 273)/273 in one single empirical equation:
              MESG (mm)  =  [MIE (TI +273) / 273]0.157                               (4.86)
              where ME is in mJand TZis in K. Equation (4.86) could, in principle, be refined by incor-
              porating the gap length as a further parameter. For short gap lengths of a few m,this
              would give a reduction of MESG as compared to values from equation (4.86)by a factor
              of 2-3  or more.
                Schuber regarded the transmission of the flame through the slot as being primarily a
              process of ignition of the dust cloud downstream of the slot by the turbulent jet of hot
              combustionproducts being expelled from the slot rather than flame propagation through
              the slot. He attributedthe strongcorrelationbetween MESG and ignition sensitivity to this.
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