Abstract
Mean Absorption Coefficients (MACs) represent a potentially suitable way of calculation of radiation transfer in relatively complex geometries. They allow utilization of well established radiation transfer models such as DOM or P1 approximation while removing the complexity of the real spectrum, thus greatly reducing the computation power and time requirements of these models. However, no generally accepted method of MAC prediction was proposed so far, which would be applicable in the wide variety of conditions. This paper presents but a small, yet important step in a search for the ultimate MAC method. It provides an accuracy evaluation of three different MAC methods, namely line-limited Planck MAC, Rosseland MAC and hybrid MAC, while applied to the case of air plasma at various pressures. The line limited Planck MAC proved to be the most accurate method at low pressure, but its reliance on predefined spatial parameter called Characteristic absorption length makes it hard to apply in real situations. The other two methods proved unsatisfactory results for low pressure thermal plasma. However, the hybrid MAC was found to be superior at elevated pressure providing possibly the most universal option for radiation evaluation.
Similar content being viewed by others
References
Aubrecht V, Lowke JJ (1994) Calculations of radiation transfer in sf6 plasmas using the method of partial characteristics. J Phys D Appl Phys 27:2066–2073. https://doi.org/10.1088/0022-3727/27/10/013
Baeva M, Uhrlandt D, Murphy AA (2017) A collisional-radiative model of iron vapour in a thermal arc plasma. J Phys D Appl Phys 50:2202. https://doi.org/10.1088/1361-6463/aa7090
Changtong L, Bo Y (2012) Low dimensional simplex evolution - a hybrid heuristic for global optimization. J Glob Optim 52:45–55. https://doi.org/10.1007/s10898-011-9678-1
Coufal O (2007) Composition and thermodynamic properties of thermal plasma up to 50 kk. J Phys D Appl Phys 40:3371–3385. https://doi.org/10.1088/0022-3727/40/11/018
Coufal O, Sezemsky P, Zivny O (2005) Database system of thermodynamic properties of individual substances at high temperatures. J Phys D Appl Phys 38:1265–1274. https://doi.org/10.1088/0022-3727/38/8/026
Coufal O, Zivny O (2006) Interval of occurrence of a component in thermal plasma. Czechoslovak J Phys 56(suppl 2):B1401–B1406
Fagiano L, Gati R (2016) On the order reduction of the radiative heat transfer model for the simulation of plasma arcs in switchgear devices. J Quantitat Spectrosc Radiat Trans 169:58–78. https://doi.org/10.1016/j.jqsrt.2015.10.002
Fuchs R, Nordborg H (2018) Systematic investigation on radiation modeling errors of a wall-stabilized arc simulations. In: Petrovic Z, Pauc N, Dujko S, Skolo N (eds) Proceedings of the 22nd international conference on gas discharges and their applications. Serbian Academy of Sciences and Arts and Institute of Physics, University of Belgrade, pp 207–210
Kabbaj N, Cressault Y, Teulet P, Reichert F, Petchanka A (2018) Effect of optimized / non-optimized mean absorption coefficients on the radiative transfer of air. In: Petrovic Z, Pauc N, Dujko S, Skolo N (eds) Proceedings of the 22nd international conference on gas discharges and their applications. Serbian Academy of Sciences and Arts and Institute of Physics, University of Belgrade, pp 207–210
Kloc P, Aubrecht V, Bartlova M (2017) Numerically optimized band boundaries of planck mean absorption coefficients in air plasma. J Phys D Appl Phys 50:305201. https://doi.org/10.1088/1361-6463/aa7627
Kloc P, Aubrecht V, Bartlova M (2018) Pressure dependence of the optimized mean absorption coefficients. In: Petrovic Z, Pauc N, Dujko S, Skolo N (eds) Proceedings of the 22nd international conference on gas discharges and their applications. Serbian Academy of Sciences and Arts and Institute of Physics, University of Belgrade, pp 207–210
Kloc P, Aubrecht V, Bartlova M, Coufal O (2015) Radiation transfer in air and air-cu plasmas for two temperature profiles. J Phys D Appl Phys 48:055208. https://doi.org/10.1088/0022-3727/48/5/055208
Kozu S, Fujino T, Yoshino T, Mori T (2018) Radiative transfer calculation of CO2 thermal plasma using a hybrid plack–rosseland mean absorption coefficient. In: Proceedings of the 22nd international conference on gas discharges and their applications. Serbian Academy of Sciences and Arts and Institute of Physics, University of Belgrade, pp 127–130
Liebermann RW, Lowke JJ (1976) Radiation emission coefficients for sulfur hexafluoride arc plasmas. J Quant Sp Rad Trans 16:253–264. https://doi.org/10.1016/0022-4073(76)90067-4
Lowke JJ (1974) Predictions of arc temperature profiles using approximate emission coefficients for radiation losses. J Quant Spectrosc Radiat Transfer 14:111–122. https://doi.org/10.1016/0022-4073(74)90004-1
NIST Atomic Spectroscopy Group (2017) NIST’s bibliographic database on atomic energy levels and spectra, version 20. (national institute of standards and technology). https://doi.org/10.18434/T40K53
Nordborg H, Iordanidis AA (2008) Self-consistent radiation based modelling of electric arcs: I. efficient radiation approximations. J Phys D Appl Phys 41:135205. https://doi.org/10.1088/0022-3727/41/13/135205
Randrianandraina HZ, Cressault Y, Gleizes A (2011) Improvements of radiative transfer calculation for sf6 thermal plasmas. J Phys D Appl Phys 44:194012. https://doi.org/10.1088/0022-3727/44/19/194012
The Opacity Project Team (1995) The opacity project, vol 1. Institute of Physics Publications, Bristol, UK
Acknowledgements
This research work was carried out in the Centre for Research and Utilization of Renewable Energy (CVVOZE). The authors gratefully acknowledge financial support from the Ministry of Education, Youth and Sports of the Czech Republic under project CZ.02.1.01/0.0/0.0/16_013/0001638 (CVVOZE Power Laboratories – modernization of research infrastructure).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
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.
About this article
Cite this article
Kloc, P., Aubrecht, V., Bartlova, M. et al. Comparison of Mean Absorption Methods for Radiation Transfer Models in Air Plasma at Various Pressures. Plasma Chem Plasma Process 43, 429–447 (2023). https://doi.org/10.1007/s11090-022-10304-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11090-022-10304-9