A Statistical Description of Knock Intensity and its Prediction

Paper #:
  • 2017-01-0659

Published:
  • 2017-03-28
Abstract:
The cyclic variations in combustion phasing and combustion rate cause knock to occur differently from cycle to cycle. Even if the in-cylinder thermodynamic conditions are identical at the time of knock onset (to the best of our ability), the intensity of the knock event can vary widely. This indicates that a statistical approach is necessary, and this paper lays out a method to statistically describe the intensity of the knock event. The independent parameter used to describe the event is the unburned fraction at knock onset, Xu,KO, and it is shown that the probability density function (PDF) of knock intensity follows a nearly log-normal distribution for narrow regions of Xu,KO. A scaling methodology is described to collapse the PDFs at different values of Xu,KO into a nearly universal form. Finally, blast wave theory is explored to attempt to predict the outer edge scaling of the knock intensity.
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