Review of the development and applications of the Wiebe function: A tribute to the contribution of Ivan Wiebe to engine research
23 Jun 2010-International Journal of Engine Research (SAGE Publications)-Vol. 11, Iss: 4, pp 297-312
TL;DR: The Wiebe function as discussed by the authors is used to predict the burn fraction and burn rate in internal combustion engines operating with different combustion systems and fuels, including direct injection (DI) and indirect injection (IDI) diesel engines, classical spark ignition (SI) engines, engines with homogeneous charge compression ignition (HCCI) and premixed charge compression ignited (PCCI).
Abstract: Analytical functions approximating the burn rate in internal combustion engines are useful and cost-effective tools for engine cycle simulations. Most functions proposed to date are based on the law of normal distribution of a continuous random variable. The best known of these is the Wiebe function, which is used to predict the burn fraction and burn rate in internal combustion engines operating with different combustion systems and fuels. These include direct injection (DI) and indirect injection (IDI) diesel engines, classical spark ignition (SI) engines and gasoline direct injection (GDI) engines, engines with homogeneous charge compression ignition (HCCI) and premixed charge compression ignition (PCCI). This paper is a tribute to the lasting legacy of the Wiebe function and to the man behind it, Ivan Ivanovitch Wiebe. It includes a historical background to the development of the function in the mid 1950s in the Soviet Union, the controversy that surrounded its introduction, a description of t...
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References
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TL;DR: In this article, a survey of the literature concerning the application of the second-law of thermodynamics to internal combustion engines is presented, with a detailed reference to the findings of various researchers in the field over the last 40 years.
408 citations
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325 citations
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01 Feb 1980TL;DR: In this article, an apparent heat release rate (AHRR) correlation is presented for direct injection diesel engines based on algebraic expressions describing the fuel burning rate as a function of dominant controlling parameters, such as ignition delay and equivalence ratio.
Abstract: An apparent heat release rate (AHRR) correlation is presented for direct injection diesel engines. It is based on algebraic expressions describing the fuel burning rate as a function of dominant controlling parameters, such as ignition delay and equivalence ratio. Relating the burning rate to these parameters permits the AHRR at one engine running condition to be linked to the AHRR at another condition. By simulating the combustion process via an analytical expression whose governing parameters are linked to in-cylinder conditions, the AHRR empirical correlation simulates the combustion process (heat release) and enables the effect of many engine design and ambient condition changes to be predicted automatically, such as compressor and turbocharger match, valve and injection timing, compression ratio, aftercooling, and other engine design parameters. The correlation includes the influence of these parameters both on combustion and on the turbocharging process. While the experimental approach can reduce engine development costs, it should not replace fundamental research on diesel engine combustion nor detailed mathematical combustion modeling since it cannot predict the effect of combustion chamber design changes.
298 citations