An experimental study of uncertainty considerations associated with predicting auto-ignition timing using the Livengood-Wu integral method

Ashish Shah, Song Cheng, Douglas E. Longman, S. Scott Goldsborough, Toby Rockstroh

Research output: Journal article publicationJournal articleAcademic researchpeer-review

2 Citations (Scopus)


The application of the Livengood-Wu (LW) integral method as a tool to estimate knock onset in spark ignited (SI) engines and combustion phasing in advanced compression ignition (ACI) engines has been demonstrated through simulations several times. In this study, the effect of uncertainties associated with parameters required for the LW integral method, when used as a tool for model based control of ignition timing in an ACI engine, were experimentally studied using five full boiling range gasoline fuels. As a first step, the method was applied to experimental data from a rapid compression machine and it was found that the ability of the LW integral method to predict ignition timing was very sensitive to the performance of the chemical kinetic model of each fuel. The method was subsequently applied to experimental data from a single-cylinder gasoline engine with simple approximations for the LW integral input parameters, and it was found that the predicted time of ignition was significantly different from the actual start of combustion. Systematic evaluation of various parametric uncertainties conducted thereafter showed that the uncertainty in cylinder charge temperature has the greatest influence. Improved methods of estimating cylinder charge temperature are proposed to account for the previously determined corrections, to enable the use of the LW integral method for model based control of ignition timing.

Original languageEnglish
Article number119025
Publication statusPublished - 15 Feb 2021
Externally publishedYes


  • Compression Ignition
  • Ignition Delay
  • Livengood-Wu Integral
  • Rapid Compression Machine

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Fuel Technology
  • Energy Engineering and Power Technology
  • Organic Chemistry

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