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64                                           3 Basics of Gas Combustion

              The corresponding stoichiometry is

                               ð
                        C 3 H 8 þ5O 2 þ3:76N 2 Þ ! 3CO 2 +4H 2 O+18:8N 2  ð3:10Þ


            3.2.2 Fuel Lean Combustion

            When there is excess air in a combustion process, the combustion is called fuel lean
            combustion and the corresponding mixture is called fuel lean mixture. At low
            combustion temperatures the nitrogen in the air and the extra oxygen appear in the
            products. For the fuel with a formula C α H β the reaction formula in general is

                               ð
                        C a H b þa O 2 þ3:76N 2 Þ ! bCO 2 þcH 2 O+ dN 2 þeO 2  ð3:11Þ
              The coefficients b and c can be determined from the carbon balance and
            hydrogen balance, respectively (b ¼ a; c ¼ b=2).
              From the definition of the equivalence ratio above, one can get

                                        ð A=FÞ s  4:76   b
                              ð A=FÞ  ¼       ¼      a þ                 ð3:12Þ
                                   mix    /      /       4
              Now the fuel lean combustion reaction equation becomes,


                    4:76     b                         b
              C a H b þ   a þ   ð 0:210 2 þ0:79N 2 Þ ! aCO 2 þ H 2 O+ dN 2 þeO 2  ð3:13Þ
                     /       4                         2
            where / is less than one for a fuel lean mixture because of the excess air. The mole
            amount of nitrogen (d) and the extra oxygen in the excess air (e) can be determined
            by the atom balances of O and N:


                         4:76   0:79    b            3:76     b
                                     a þ   ¼ d ! d ¼       a þ
                             /          4             /       4

                                         1          b
                                    e ¼     1   a þ
                                         /          4
              Therefore, the fuel-lean reaction formula for the combustion of C a H b perfectly
            mixed with excess air is,

                     4:76     b
               C a H b þ   aþ   ð 0:21O 2 þ0:79N 2 Þ
                       /      4
                                                                         ð3:14Þ



                               b       3:76    b       1         b


                      ! aCO 2 þ H 2 O+      aþ    N 2 þ   1   aþ   O 2
                               2        /      4       /         4
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