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15.4 FLAMES      333




                                        50

                                        45

                                                                    Methanol
                                       Laminar flame speed / (cm/s)  35  Iso-octane  Propane
                                        40




                                        30


                                        25
                                                 Petrol
                                                      Methane
                                        20
                                               Lean       Rich

                                         15
                                           0.8  0.9  1.0  1.1  1.2  1.3  1.4  1.5
                                                   Fuel-air equivalence ratio
               FIGURE 15.6
               Variation of laminar flame speed with mixture strength for typical fuels (based on 1 atm, 300 K).

               where
                            p ¼ pressure (bar)
                            T ¼ temperature (K)
                            u [ ¼ laminar flame speed (m/s).

                  It can be seen from Eqn (15.11) that the effect of pressure on flame speed is very small, as sug-
               gested above. Figure 15.7 shows how the laminar flame speed increases with reactants temperature: it
               has been assumed that the adiabatic temperature rise remains constant at 2000 K, which is approxi-
               mately correct for a stoichiometric mixture. It can be seen that the speed increases rapidly, and reaches
               a value of around 4 m/s when the reactants temperature is 1000 K. This is an increase of about a factor
               of 8 on the previous value which would reduce the combustion duration to about 60 crankangle. This

               is still quite a long combustion duration, especially since it has been evaluated at only 800 rev/min:
               some other feature must operate on the combustion process to speed it up. This, second, parameter is
               turbulence, which enhances the laminar flame speed as described below.


               15.4.3 IGNITION
               Before continuing with the discussion of flames it is necessary to look at the initiation of the flame: this
               will be done by considering combustion in a spark-ignition engine (see Chapter 16). The ignition
               process is an extremely important one in the homogeneous charge engine because it has to be initiated
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