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3 I6  Dust Explosions in the Process Industries


               Schonewald(1971) derived a simplifiedempiricalversion of equation (4.75)that also
             applies to dusts containing a mass fraction (1 - a)of inert substance, a being the mass
             fraction of combustible dust:

                          CJa
             c*-                                                                    (4.77)
                - 1-2.966(1- a)c,C, la
             where the minimum explosible dust concentration without inert dust is C1= -1.032  +

             1.207  106/Qo,Qobeing the heat of combustionper unit mass (in J/g), as determined in a
             bomb calorimeter.As can be seen from Freytag (1965), equations (4.75) and (4.76) were
             used in the Federal Republic of Germany for estimatingminimum explosible dust con-
             centrations, but later, this method was replaced by experimental determination.
               Table 4.11 gives examples of minimum explosible dust concentrationscalculated from
             equations (4.75) and (4.76), as well as some experimental results for comparison. The
             calculated and experimental results for the organic dusts polyethylene, phenol resin,
             and starch are in good agreement. This would be expected from the assumptions made
             in Zehr’s theory. However, the result for graphite clearly demonstratesthat Zehr’s assump-
             tion of complete combustion of any fuel as long as oxygen is available is inadequate



             Table 4.11  Minimum  explosible dust concentrations (g/m3) calculated by  the theory of Zehr
             (1957)
                                 Calculated minimum explosible dust






























               Bituminous coal     35               48         70-130,  constant volume (Cashdollar,
                                                               Hertzberg, and Zlochower, 1988)
              Source: Most data from Freytag (1965); comparison with experimental data.
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