Numerical simulation based on a moment method is conducted to investigate the feasibility of an assumed probability density function (PDF) approach in the configuration of a turbulent jet nonpremixed flame. In this study, a multivariate β-PDF is employed to account for turbulence-chemistry interaction. The multivariate β-PDF approach has an advantage that only one additional transport equation of sum of composition variances is solved to determine the shape of species PDF to transport equations of mean compositions. The numerical simulation is carried out for H3 flame. Reaction mechanism is a single-step irreversible reaction including H2, O2 and H2O species. The results are compared with those from measurements and a combined PDF/moment method that detailed reaction mechanism is applied. Velocity distributions obtained by the multivariate β-PDF approach show good agreement with measurements and combined PDF/moment results, which indicates that the present approach can predict the flow pattern of nonpremixed flames. The present approach also provides good predictions in terms of mean temperature and mass fraction. PDFs of mass fraction obtained by the present approach are similar to those by the combined PDF/moment method. On the other hand, the variance of temperature is underpredicted, which is attributed to an approximation of temperature variance. In order to achieve a good prediction of the reaction rate, a PDF approximation of enthalpy is proposed for the evaluation of mean reaction rate.
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ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference collocated with the ASME 2007 InterPACK Conference
July 8–12, 2007
Vancouver, British Columbia, Canada
Conference Sponsors:
- Heat Transfer Division
ISBN:
0-7918-4274-6
PROCEEDINGS PAPER
Assumed Multivariate Beta-PDF Modeling for Turbulent Nonpremixed Flames
Susumu Noda,
Susumu Noda
Toyohashi University of Technology, Toyohashi, Aichi, Japan
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Kunihiko Yamamuro,
Kunihiko Yamamuro
Toyohashi University of Technology, Toyohashi, Aichi, Japan
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Yuzuru Nada,
Yuzuru Nada
Toyohashi University of Technology, Toyohashi, Aichi, Japan
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Masato Fujisaka
Masato Fujisaka
Toyohashi University of Technology, Toyohashi, Aichi, Japan
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Susumu Noda
Toyohashi University of Technology, Toyohashi, Aichi, Japan
Kunihiko Yamamuro
Toyohashi University of Technology, Toyohashi, Aichi, Japan
Yuzuru Nada
Toyohashi University of Technology, Toyohashi, Aichi, Japan
Masato Fujisaka
Toyohashi University of Technology, Toyohashi, Aichi, Japan
Paper No:
HT2007-32646, pp. 585-589; 5 pages
Published Online:
August 24, 2009
Citation
Noda, S, Yamamuro, K, Nada, Y, & Fujisaka, M. "Assumed Multivariate Beta-PDF Modeling for Turbulent Nonpremixed Flames." Proceedings of the ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference collocated with the ASME 2007 InterPACK Conference. ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference, Volume 1. Vancouver, British Columbia, Canada. July 8–12, 2007. pp. 585-589. ASME. https://doi.org/10.1115/HT2007-32646
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