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The knock metric for controlled auto-ignition (CAI) engines is assessed by considering the physical processes that establish the pressure wave that contributes to the acoustic radiation of the engine, and by analyzing pressure data from a CAI engine. Data sets from the engine operating with port fuel injection, early direct injection and late direct injection are used to monitor the effect of mixture composition stratification. Thermodynamic analysis shows that the local pressure rise produced by heat release has to be discounted by the work spent in acoustic expansion against the ambient pressure to properly predict the pressure wave amplitude. Based on this analysis, a modified correlation between the pressure wave amplitude and the maximum pressure rise rate (MPRR) is developed by introducing an MPRR offset to account for the expansion work.

The heat release characteristics in terms of the maximum pressure rise rate (MPRR) and combustion phasing in a partially premixed compression ignition (PPCI) engine are studied using a calibration gasoline. Early port fuel injection provides a nearly homogeneous charge, into which a secondary fuel pulse is added via direct injection (DI) to provide stratification which is affected by the timing of the start of injection (SOI). As the SOI the DI fuel is retarded from early compression, MPRR first decreases, then increases substantially, and decreases again. The MPRR correlates mostly with the combustion phasing. The SOI timing plays an indirect role. The observation is explained by a bulk heat release process of which the rate increases with temperature rather than by a sequential ignition process. Observations from compression ignition of representative homogeneous charges in a Rapid Compression Machine support this explanation.