I would like to know, what kind of EQNS Should be used to solve as written:
a)Create a simple constant-volume modle of the autoignition process
b)determine the temperature
c) and the fuel and product concentration histories.
d)also determine dp/dt as a function of time.
In spark-ignition engines, knock occurs when the unburned fuel-air mixture ahead of the flame reacts homogeneously, i.e., it autoignites. The rate-of-pressure rise is a key parameter in determining knock intensity and propensity for mechanical damage to the piston-crank assembly. Pressure-versus-time traces for normal and knocking combustion in a spark-ignition engine are illustrated in Fig. 6.2. Note the very rapid pressure rise in the case of heavy knock. Figure 6.3 shows schlieren (index-of-refraction gradient) photographs of flame propagation for normal and knocking combustion. Create a simple constant-volume model of the autoignition process and determine the temperature and the fuel and product concentration histories. Also determine dP/dt as a func- tion of time. Assume initial conditions corresponding to compression of a fuel-air mixture from 300 K and 1 atm to top-dead-center for a compression ratio of 10:1. The initial volume before compression is 3.68· 10-4 m3, which corresponds to an engine with both a bore and a stroke of 75 mm. Use ethane as fuel
