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Entropy 2013, 15(8), 3277-3296; doi:10.3390/e15083367

Fluctuations in the Energetic Properties of a Spark-Ignition Engine Model with Variability

1
Instituto de Ingeniería Mecánica y Producción Industrial, Universidad de la República, Montevideo 11300, Uruguay
2
Departamento de Física Aplicada, Universidad de Salamanca, Salamanca 37008, Spain
3
Departamento de Física Aplicada and IUFFYM, Universidad de Salamanca, Salamanca 37008, Spain
4
Unidad Profesional Interdisciplinaria en Ingeniería y Tecnologías Avanzadas, Instituto Politécnico Nacional, Av. IPN 2580, L. Ticomán, Mexico D.F. 07340, Mexico
5
Departamento de Física, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Edif. No. 9 U.P. Zacatenco, Mexico D. F. 07738, Mexico
*
Author to whom correspondence should be addressed.
Received: 8 June 2013 / Revised: 30 July 2013 / Accepted: 13 August 2013 / Published: 19 August 2013
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Abstract

We study the energetic functions obtained in a simulated spark-ignited engine that incorporates cyclic variability through a quasi-dimensional combustion model. Our analyses are focused on the effects of the fuel-air equivalence ratio of the mixture simultaneously over the cycle-to-cycle fluctuations of heat release (QR) and the performance outputs, such as the power (P) and the efficiency (QR). We explore the fluctuant behavior for QR, P and n related to random variations of the basic physical parameters in an entrainment or eddy-burning combustion model. P and n show triangle shaped first return maps, while QR exhibits a structured map, especially at intermediated fuel-air ratios. Structure disappears to a considerable extent in the case of heat release and close-to-stoichiometry fuel-air ratios. By analyzing the fractal dimension to explore the presence of correlations at different scales, we find that whereas QR displays short-range correlations for intermediate values of the fuel ratio, both P and n are characterized by a single scaling exponent, denoting irregular fluctuations. A novel noisy loop-shaped P vs. n plot for a large number of engine cycles is obtained. This plot, which evidences different levels of irreversibilities as the fuel ratio changes, becomes the observed loop P vs. n curve when fluctuations are disregarded, and thus, only the mean values for efficiency and power are considered.
Keywords: spark ignition engine; quasi-dimensional simulations; cycle-to-cycle variability; energetics spark ignition engine; quasi-dimensional simulations; cycle-to-cycle variability; energetics
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Curto-Risso, P.L.; Medina, A.; Calvo-Hernández, A.; Guzmán-Vargas, L.; Angulo-Brown, F. Fluctuations in the Energetic Properties of a Spark-Ignition Engine Model with Variability. Entropy 2013, 15, 3277-3296.

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