Abstract
Analysis and calculation show that the wide band absorption coefficient cumulative distribution function varies considerably with the bandwidth. A new method for calculating the cumulative distribution function of water vapor is proposed in this paper, in which the bandwidth is calculated from the modified wide band model and varies with temperature and pressure. In comparison with the narrow band cumulative distribution function, the proposed method is more accurate than the Marin’s method.
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Soufiani, A, Taine, J. High Temperature Gas Rediative Property Parameters of Statistical Narrow Band Model for H2O, CO2 and CO, and Correlated K Model for H2O and CO2. Int. J. Heat Mass Transfer, 1997, 40: 987–991
Hartmann, J M, Levi, Di Leon R, Taine, J. Line by Line and Narrow Band Statistical Model Calculation for H2O. J. Quant. Spect. Radiative Transfer, 1984, 32(2): 119–127
Edwards, D K, Balakrishnan, A. Thermal Radiation by Combustion Gases. Int. J. Heat Mass Transfer, 1973, 16(1): 25–40
Edwards, D K. Molecular Gas Band Radiation. Adv. Heat Transfer, 1967, 57: 323–329
Soufiani, A, Djavdan, E. A Comparison Between Weighted Sum of Gray Gases and Statistical Narrow Band Radiation Models for Combustion Applications. Combustion and Flame, 1994, 97: 240–250
Smith, T F, Shen, Z F, Friedman, J N. Evaluation of Coefficient for the Weighted Sum of Gray Gases Model. ASME J. Heat Transfer, 1982, 104: 602–608
Marin, O, Buckius, R. O. Wide Band Correlated-k Approach to Thermal Radiative Transport in Nonhomogeneous Media. ASME J. Heat Transfer, 1997, 119: 719–729
Liu, F, Smallwood, G J, Gulder, O L. Application of the Statistical Narrow Band Correlated - Method to Low Resolution Spectral Intensity and Radiative Heat Transfer Calculations - Effects of the Quadrature Scheme. Int. J. Heat Mass Transfer, 2000, 43: 3119–3135
Marin, O, Buckius, R O. A Simplified Wide Band Model of the Cumulative Distribution Function for Water Vapor. Int. J. Heat Mass Transfer, 1998, 41: 2877–2892
Tang, K C, Brewster, M Q. Analysis of Molecular Gas Radiation: Real Gas Property Effects. In: Armaly B. F. Ed., ASME Proceedings of the 7th AIAA/ASME Joint Thermophysics and Heat Transfer Conference. 1998, 1: 32–38
Lacis, A A, Oinas, A. A Description of the Correlated-k Distribution Method for Modeling Non-gray Gases Absorption, Thermal Emission, and Multiple Scattering in Vertically Inhomogeneous Atmospheres. J. Geophysical Research, 1991, 96: 9027–9063
Nie, Yuhong, Chen, Haigeng, Yang, Zekuan. Calculation of the Band Absorption Coefficient and Bandwidth for CO2. J. Northeastern University, 1997, 18(s): 236–239
Komomichi, W, Tomeczek, J. Modification of the Wide Band Gas Radiation Model for Flame Calculation. Int. J. Heat Mass Transfer, 1992, 35(7): 1667–1672
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Nie, Y., Chen, H. The calculation of cumulative distribution function of water vapor using modified bandwidth. J. of Therm. Sci. 11, 16–20 (2002). https://doi.org/10.1007/s11630-002-0016-2
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DOI: https://doi.org/10.1007/s11630-002-0016-2