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Research Papers: Radiative Heat Transfer

Comparisons of Radiative Heat Transfer Calculations in a Jet Diffusion Flame Using Spherical Harmonics and k-Distributions

[+] Author and Article Information
Jian Cai

School of Engineering,
University of California,
Merced, CA 95343
e-mail: jcai@ucmerced.edu

Ricardo Marquez

School of Engineering,
University of California,
Merced, CA 95343
e-mail: rmarquez3@ucmerced.edu

Michael F. Modest

Professor
Fellow ASME
School of Engineering,
University of California,
Merced, CA 95343
e-mail: mmodest@ucmerced.edu

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received August 14, 2013; final manuscript received November 26, 2013; published online September 16, 2014. Assoc. Editor: Zhixiong Guo.

J. Heat Transfer 136(11), 112702 (Sep 16, 2014) (9 pages) Paper No: HT-13-1418; doi: 10.1115/1.4026169 History: Received August 14, 2013; Revised November 26, 2013

A new nongray radiation modeling library for combustion gases has been implemented in OpenFOAM. The spectral models for single species include gray, correlation tables and full spectrum k-distributions (FSK) assembled from a narrow-band database. Mixing models for k-distributions include the multiplication and uncorrelated mixture models. Radiative transfer equation solvers for the library include spherical harmonics such as P1, P3, SP3 and SP5 as well as the optically thin approximation. The performance of the different solution methods is compared for accuracy and speed as a tool for future model strategy selection.

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Figures

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Fig. 1

Time-averaged spatial profile of temperature (left), CO2 mass fraction (middle), and H2O mass fraction (right) of enlarged Sandia Flame D

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Fig. 2

Temperature and species mass fractions (a) and radiative heat flux divergence (b) at y = 0.5m. Legends abbreviations are “nbdb” for narrow-band database, “MR” for uncorrelated mixture (Modest–Riazzi) model, “lbl” for line-by-line spectral model, and “OT” for optically thin approximation.

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Fig. 3

Temperature and species mass fractions (a) and radiative heat flux divergence (b) at y = 1.0 m. Legend abbreviations are the same as Fig. 2.

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Fig. 4

Temperature and species mass fractions (a) and radiative heat flux divergence (b) at y = 1.4 m. Legend abbreviations are the same as Fig. 2.

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Fig. 5

Effects of species on radiative heat flux divergence ∇·q at three downstream locations y = 0.5 m (a), y = 1.0 m (b), and y = 1.4 m (c)

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Fig. 6

Effects of mixing models on radiative heat flux divergence ∇ · q for different mixing models at three downstream locations y = 0.5 m (a), y = 1.0 m (b), and y = 1.4 m (c). LBL-P1 and LBL-PMC are also included for reference. Legend abbreviations are the same as Fig. 2.

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Fig. 7

Effects of RTE solvers on radiative heat flux divergence ∇·q at three downstream locations y = 0.5 m (a), y = 1.0 m (b), and y = 1.4 m (c)

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