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Gas and Dust Explosions                                           379

              Vapor: It emanates from a substance that is liquid at standard temperature and
           pressure.
              Flammability Limits: It is variously called flammable, explosive, or explosion
           limits. In some books, such limits refer to flammability limits of gas and vapors
           only. Dust is explosive, and it also has an upper and a lower limit. However, many
           books use flammability and explosive to mean the same thing.
              Explosion: An explosion is the result, not the cause of rapid expansion of gases
           caused by a physical change or a chemical reaction.
              Deflagration: It is a reaction that propagates in the unreacted material at a speed that
           is less than the speed of sound.
              Detonation: It is an exothermic reaction that propagates in the unreacted material at
           a speed greater than the speed of sound.



           23.1.2 Flammability Limits of GaseAir Mixtures
           Coward and Jones [3] produced a flammability curve for methane and air as shown in
           Fig. 23.1. The lower and upper limits of methane in air are 5% and 14.5%, respec-
           tively. It is famously known as “Coward’s Diagram.” It clearly shows that if methane
           concentration is less than 5% or oxygen concentration is less than 12%, the mixture
           cannot be flammable. Mixtures containing more than 14.5% methane can become
           explosive if mixed with air. The flammable/explosive mixture is shown as a triangle.
              In a typical mine on fire, the mine atmosphere may contain methane, hydrogen, and
           carbon monoxide as combustible gases and nitrogen and carbon dioxide as inert gases.
           Zabetakis [4] developed a flammability diagram for such gas mixtures. All combus-
           tible gases were combined and called

               Effective Combustibles ¼½CH 4 % þ 1:25 H 2 % þ 0:4 CO%Š    (23.1)

              The factors 1.25 and 0.4 are the ratios of lower flammable limit for CH 4 to that of H 2
           and CO, respectively. Likewise, all inerts were combined and called

               Effective Inerts ¼ ½Excess N 2 % þ 1:5%CO 2 Š              (23.2)
           where excess N 2 is defined as


               Excess N 2 % ¼½100   CH 4 %   Air%Š                        (23.3)
              Fig. 23.2 shows a flammability diagram for all these five gases.
              A new term, composition point, R is defined as

                          CH 4 %
               R ¼                                                        (23.4)
                   CH 4 % þ H 2 % þ CO%
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