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Gas and Dust Explosions                                           383

           Table 23.2 Lower and Upper Limits of Flammability for Mine Gases


                                          Limits on Flammability in Air
                                                               Minimum Oxygen
            Gas               Lower Limit %   Upper Limit %    for Combustion
            Acetylene          2.5            100               0
            Butane             1.8              8.4            12
            Carbon monoxide   12.5             74               5.5
            Ethane             3.0             12.4            11
            Ethylene           2.7             36              10
            Hydrogen           4.0             75               5
            Methane            5.0             15.0            12
            Propane            2.1              9.5            11.5
            Propylene          2.4             11              11.5

           Adapted from Kuchta JM. Investigation of fire and explosion accidents in chemical, mining and fuel related industries e a
           manual, USBM Bulletin #686 1985:84.


                            100
               L ¼                                                        (23.6)
                   C 1  C 2  C 3     C N
                      þ   þ    þ //
                   L 1  L 2  L 3     L N
           where C 1 , C 2 ... are the concentrations of each gas in the mixture, and L 1 , L 2 ...
           are their corresponding lower limits of flammability.
              The Le Chatelier law may be used to calculate only an approximate upper limit of
           flammability of a mixture of gases because of more complex reactions at higher
           concentrations.
              The lower limit of flammability for most hydrocarbons decreases linearly with ris-
           ing temperature, reaching a limit at about 1300 C. The upper limit of flammability

           tends to increase with temperature, but the predicted values are not reliable.


           23.1.3 Ignition Requirements

           Ignition is usually considered to be a combustion reaction with the evolution of heat
           and emission of light. Most combustible-oxidant systems are not capable of sufficient
           self-reaction at ambient temperature to produce ignition. Sources of ignition can be
           considered for their spatial and temporal characteristics.
              Fig. 23.4 shows anumberof sources with theirtemporal andspatialcharacteristics [5].
              At one extreme (electrical sparks), the source is very small but very high in temper-
           ature and the heating rate. Here the main concern is energy density and the ignition
           energy. On the other extreme (heated vessels), the source is large, heating rate is
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