Mathematical model for in-cylinder pressure of combustion process in the diesel engine as a correlation to the external load

Abstract

In this paper, a mathematical model for in-cylinder pressure data of diesel engine is presented. Most of the researchers only developed the characteristic of the combustion process and pressure by computationally and experimentally. The model is developed for generating the profile of pressure by taking into account the external load variation. This model will be applied as a load profile on the piston surface. The pressure curve data of 500 cc single cylinder diesel engine is used. Exponential equation is modeled to be fitted on the pressure data profile for a wide range external load variation. These equations were validated by comparing with the previously published work, a good agreement between the results are obtained. Based on the obtained exponential equation of 􀝌=􀝌􀯢􀝁􀯞􀰏, it was developed to be a set of mathematical equations for each load level as shown in Table 3, that can be applied automatically in calculating the engine dynamics for a wide range of external load by inputting the maximum pressure data of every stage.