Calculations of narrow-band transimissities and the Planck mean absorption coefficients of real gases using line-by-line and statistical narrow-band models

doi:10.1007/s11708-013-0292-4

Front Energ

2014, Vol. 8

Issue (1) : 41-48 https://doi.org/10.1007/s11708-013-0292-4

RESEARCH ARTICLE

Calculations of narrow-band transimissities and the Planck mean absorption coefficients of real gases using line-by-line and statistical narrow-band models

Huaqiang CHU¹(

), Mingyan GU¹, Huaichun ZHOU², Fengshan LIU³

1. School of Energy and Environment, Anhui University of Technology, Ma’anshan 243002, China; 2. Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Tsinghua University, Beijing 100084, China; 3. Institute for Chemical Process and Environmental Technology, National Research Council, Montreal Road, Ottawa, Ont., K1A 0R6, Canada

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Abstract

Narrow-band transmissivities in the spectral range of 150 to 9300 cm^-1 and at a uniform resolution of 25 cm^-1 were calculated using the statistical narrow-band (SNB) model with the band parameters of Soufiani and Taine, the more recent parameters of André and Vaillon, and the line-by-line (LBL) method along with the HITEMP-2010 spectroscopic database. Calculations of narrow-band transmissivity were conducted for gas columns of different lengths and containing different isothermal and non-isothermal CO₂-H₂O-N₂ mixtures at 1 atm. Narrow-band transmissivities calculated by the SNB model are in large relative error at many bands. The more recent SNB model parameters of André and Vaillon are more accurate than the earlier parameters of Soufiani and Taine. The Planck mean absorption coefficients of CO₂, H₂O, CO, and CH₄ in the temperature range of 300 to 2500 K were calculated using the LBL method and different versions of the high resolution transmission (HITRAN) and high-temperature spectroscopic absorption parameters (HITEMP) spectroscopic databases. The SNB model was also used to calculate the Planck mean absorption coefficients of these four radiating gases. The LBL results of the Planck mean absorption coefficient were compared with the classical results of Tien and those from the SNB model.

Keywords transimissity HITEMP HITRAN Planck mean absorption coefficients

Corresponding Author(s): CHU Huaqiang,Email:hqchust@163.com

Issue Date: 05 March 2014

Cite this article:

Huaqiang CHU,Mingyan GU,Huaichun ZHOU, et al. Calculations of narrow-band transimissities and the Planck mean absorption coefficients of real gases using line-by-line and statistical narrow-band models[J]. Front Energ, 2014, 8(1): 41-48.

URL:

https://academic.hep.com.cn/fie/EN/10.1007/s11708-013-0292-4
https://academic.hep.com.cn/fie/EN/Y2014/V8/I1/41

Fig.1 Comparison of narrow-band transmissivity, differences, and relative error of two SNB results along an isothermal and homogeneous path: , = 1500 K
(a) Transmissivity and differences for = 0.1 m; (b) transmissivity and differences for = 1.0 m; (c) transmissivity, differences and relative error for = 2.0 m

Fig.2 Comparison of SNB and LBL results along an isothermal and homogeneous path: , = 1500 K and = 2.0 m
(a) Narrow-band transmissivity; (b) differences between SNB and LBL results; (c) relative errors between SNB and LBL results

Fig.3 Comparison of narrow-band transmissivities calculated using SNB and LBL models
(a) Distributions of temperature and CO and HO mole fraction along non-isothermal and inhomogeneous path of = 0.5 m; (b) narrow-band transmissivities calculated using LBL and SNB models; (c) differences between SNB and LBL results; (d) relative errors between SNB and LBL results

Fig.4 Planck mean absorption coefficients of HO and CO calculated by using LBL and SNB models

Fig.5 Planck mean absorption coefficients of CH and CO calculated by using LBL and SNB models

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