https://doi.org/10.1140/epjs/s11734-025-01732-7
Regular Article
Nonpremixed and premixed flamelet progress variable approach: application to the piloted methane/air turbulent jet flame
School of Mechanical Sciences, Indian Institute of Technology Goa, 403401, Goa, India
Received:
25
February
2025
Accepted:
4
June
2025
Published online:
11
June
2025
In this study, the piloted methane/air turbulent jet flame was modelled using nonpremixed and premixed-based flamelet progress variable (FPV) approaches developed in the OpenFOAM framework. A new transport equation for the normalised progress variable (Cn) was introduced and was integrated with two distinct tabulation techniques: nonpremixed FPV (NPFPV) and premixed FPV (PFPV), which represent different types of combustion regimes. The NPFPV tables were created using steady laminar counter-flow diffusion flame solutions, whilst the PFPV tables were derived from one-dimensional unstretched premixed flames. Consequently, reactive scalars, including temperature and species mass fractions, were parameterized as functions of Cn and mixture fraction (Z). Both approaches employed identical presumed PDF models, a beta-probability density function (PDF) for Z and a delta PDF for Cn—to obtain the statistics of reactive scalars. The flamelet libraries revealed that PFPV exhibited a wider distribution of temperature and reactive scalars in the mixture fraction space, particularly on the fuel-rich side, as compared to the NPFPV approach. The mean flame structure predicted by both the NPFPV and PFPV models was largely comparable. The NPFPV model closely aligned with experimental data for mean temperature and species mass fractions at all axial positions. However, the PFPV model displayed discrepancies in the predicted mean reactive scalars, particularly near the centre, where its predictions deviated from both the experimental data and the results from the NPFPV model. The study suggests that the developed solver can be adapted to effectively model the complex turbulent–chemistry interactions present in partially premixed turbulent flames.
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Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
