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Assessment of Radiation Solvers for Fire Simulation Models Using RADNNET-ZM

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The Proceedings of 11th Asia-Oceania Symposium on Fire Science and Technology (AOSFST 2018)

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Abstract

The paper presents a neural-network-based zonal method (RADNNET-ZM) for the analysis of radiative heat transfer in an arbitrary Cartesian enclosure with an isothermal, homogeneous, non-gray medium. The model accounts for the non-gray effect of absorbing species in a combustion environment and the geometric effect of any three-dimensional enclosures. The model is verified against benchmark solutions. Maximum local error is observed to be less than 4%. Prediction accuracy of an existing zonal radiation solver is assessed. Results demonstrate that RADNNET-ZM can provide a substantial improvement to zone fire simulation models for the prediction of radiative heat transfer without a significant increase in computation cost.

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Abbreviations

a λ :

Local absorption coefficient

A i :

Elemental area i

D :

Grid size of discretization

e λb :

Planck function

f v :

Soot volume fraction

F ij :

View factor between Ai and Aj

F ss,xx :

Generic exchange factor (xx = pd, pp)

L ij,xx :

Center-to-center distance between Ai and Aj (xx = pd, pp)

L pd,x :

Mean beam length between two perpendicular elemental areas (x = soot, gas)

L pp :

Mean beam length between two parallel elemental areas

nx, ny, nz:

Dimensionless distances for Aj relative to Ai

\(P_{{{\text{CO}}_{2} }}\) :

Partial pressure of CO2

\(P_{{{\text{H}}_{2}{\text{O}} }}\) :

Partial pressure of H2O

P g :

Total pressure of an N2/H2O/CO2 mixture

\(\dot{q}_{\text{g}}^{\prime \prime }\) :

Incident heat flux due to emission of mixture medium

\(\dot{q}_{\text{w}}^{\prime \prime }\) :

Incident heat flux due to emission of wall

ss:

Surface–surface exchange factor

SS:

Total surface–surface exchange factor

T g :

Gas temperature

T w :

Wall temperature

\(X_{{{\text{CO}}_{2} }}\) :

Mole fraction of CO2

X, Y, Z:

Dimensions of an enclosure

α :

Total absorptivity (sum of soot and gas absorptivity)

α s :

Soot absorptivity

Δα:

Gas absorptivity

β xx :

Normalized mean beam length (xx = pd, pp)

λ :

Wavelength

ε :

Emissivity of gas mixture

σ :

Stefan–Boltzmann constant

pd:

Perpendicular

pp:

Parallel

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Acknowledgements

The authors would like to thank Kevin B. McGrattan for his constructive comments and valuable suggestions to this manuscript.

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Correspondence to Wai Cheong Tam .

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Tam, W.C., Yuen, W.W. (2020). Assessment of Radiation Solvers for Fire Simulation Models Using RADNNET-ZM. In: Wu, GY., Tsai, KC., Chow, W.K. (eds) The Proceedings of 11th Asia-Oceania Symposium on Fire Science and Technology. AOSFST 2018. Springer, Singapore. https://doi.org/10.1007/978-981-32-9139-3_10

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  • DOI: https://doi.org/10.1007/978-981-32-9139-3_10

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-32-9138-6

  • Online ISBN: 978-981-32-9139-3

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