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March 22, 2026Applied Thermal Engineering0 citationsOpen Access

Non-gray radiation model optimized for hydrogen flames

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KSKuljeet SinghSHSimo Hostikka

Key Points

  • The research aims to enhance the modeling of hydrogen flames by improving radiation predictions using a non-gray model.
  • Developed a precomputed table framework for the RCFSK method.
  • Applied a quadrature transformation strategy to improve performance at low quadrature orders.
  • Conducted comparisons against LBL benchmarks under two test cases.
  • Examined accuracy under varying wall emissivity conditions.
  • RCFSK showed better accuracy than the WSGG model with comparable RTE solutions.
  • Peak normalized errors were below 15% for the radiative source term and 7% for wall heat flux.
  • RCFSK required less than one-third of the computational cost of WSGG.
  • Application to a Sandia plume demonstrated significantly improved accuracy.

Abstract

This study investigates the accuracy and efficiency of a non-gray radiation model for pure hydrogen combustion. A precomputed table framework with a quadrature transformation strategy is developed for the Rank-Correlated Full-Spectrum k -distribution (RCFSK) method to improve the performance at low quadrature orders. RCFSK predictions are compared against Line-by-Line (LBL) benchmarks in two artificial test cases, representative of furnace-like flame conditions, and a Sandia plume. The accuracy of the generated tables is further examined with spectrally varying wall emissivity. Results show that RCFSK consistently provides better accuracy than the Weighted-Sum-of-Gray-Gases (WSGG) model at comparable numbers of radiative transfer equations (RTE) solutions, while requiring less than one-third of the computational cost. The peak normalized errors remain below 15% for the radiative source term and below 7% for wall heat flux, with significantly lower average values. For the spectral wall emission cases, the source term is accurately captured using Planck mean emissivity and absorptivity evaluated at the wall temperature. Finally, application to a Sandia plume through a decoupled CFD solution demonstrates substantially improved accuracy relative to WSGG. • RCFSK precomputed table was developed for efficient H 2 O radiation calculations. • Accuracy was tested on multiple cases, including the Sandia flame. • Method consumes less than one-third of WSGG time while achieving superior accuracy.

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Cite This Study

Singh et al. (2026) studied this question.

synapsesocial.com/papers/69bf86ecf665edcd009e9065https://doi.org/10.1016/j.applthermaleng.2026.130593
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