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在O2/CO2气氛下，参与性介质的非灰气体辐射特性表现出不同于空气气氛下的特性，因此，非灰气体辐射模型的选择和应用在换热过程中将变得十分重要.基于统计窄谱带模型，本文综合评估近年发展应用较广的灰气体加权和（WSGG）模型.结果表明，几种WSGG模型的预测值总体趋势正确，但仍存在着一定的差别.对于发射率，Dorigon等（2013 Int. J. Heat Mass Transfer 64 863）和Bordbar等（2014 Combust. Flame 161 2435）的WSGG模型与基准模型符合较好，相对误差小于20%.与离散坐标法结合，本文求解了PH2O/PCO2=1，2时的一维平行平板间辐射换热问题.结果显示，由Dorigon等和Bordbar等的WSGG模型得到的辐射热源和热流密度分布的相对误差均较小（10%左右）.Johansson等（2011 Combust. Flame 158 893）和Bordbar等的WSGG模型具有更广的适用范围.In oxy-fuel combustion with CO2 recycle, the non-gray gas radiative heat transfer characteristics of gaseous participating media are different from those in air-fuel combustion. Therefore, the choice of a non-gray gas radiation model should be carefully made since it plays an important role in modeling the oxy-fuel combustion system. Using the statistical narrow-band model as a benchmark, in this paper we provide a comprehensive assessment of the development of the weighted-sum-of-gray-gase (WSGG) model, which has been achieved in recent years. The results show that the predicted values obtained by the WSGG model are generally reasonably accurate, though some significant differences still exist. For the total emissivity, the WSGG models by Dorigon et al. (2013 Int. J. Heat Mass Transfer 64 863) and Bordbar et al. (2014 Combust. Flame 161 2435) are consistent well with the benchmark model, within a relative error of less than about 20%. Under the conditions of PH2O/PCO2=1 and 2, the magnitudes of radiative heat transfer between two planar plates are calculated using the discrete-ordinate method and WSGG model. It is found that the radiative source and radiative net heat flux obtained using the WSGG model parameters of Dorigon et al. and Bordbar et al. are more accurate than using other parameters developed in the literature (about 10% relative errors). It is worth noting that the WSGG model parameters of Jonhansson et al. (2011 Combust. Flame 158 893) and Bordbar et al. have a wider range of applications.
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Keywords:
- non-gray gas radiation /
- weighted-sum-of-gray-gases model /
- total emissivity /
- discrete-ordinate method
[1] Modest M F 2013 Radiative Heat Transfer (3rd Ed.) (San Diego: Academic Press) p303
[2] Peng Z M, Ding Y J, Zhai X D 2011 Acta Phys. Sin. 60 104702 (in Chinese) [彭志敏, 丁艳军, 翟晓东 2011 物理学报 60 104702]
[3] Lan L Q, Ding Y J, Jia J W, Du Y J, Peng Z M 2014 Acta Phys. Sin. 63 083301 (in Chinese) [蓝丽娟, 丁艳军, 贾军伟, 杜艳君, 彭志敏 2014 物理学报 63 083301]
[4] Zhang Z R, Wu B, Xia H, Pang T, Wang G X, Sun P S, Dong F Z, Wang Y 2013 Acta Phys. Sin. 62 234204 (in Chinese) [张志荣, 吴边, 夏滑, 庞涛, 王高旋, 孙鹏帅, 董凤忠, 王煜 2013 物理学报 62 234204]
[5] Wang M R, Cai T D 2015 Acta Phys. Sin. 64 213301 (in Chinese) [王敏锐, 蔡廷栋 2015 物理学报 64 213301]
[6] Chu H Q, Liu F S, Zhou H C 2011 Int. J. Heat Mass Transfer 54 4736
[7] Chu H Q, Liu F S, Zhou H C 2012 Int. J. Therm. Sci. 59 66
[8] Hottel H C, Sarofim A F 1967 Radiative Transfer (New York: McGraw-Hill) p20
[9] Smith T F, Shen Z F, Friedman J N 1982 J. Heat Transfer 104 602
[10] Modest M F 1991 J. Heat Transfer 113 650
[11] Soufiani A, Djavdan E 1994 Combust. Flame 97 240
[12] Denison M K, Webb B W 1993 J. Heat Transfer 115 1004
[13] Denison M K, Webb B W 1995 J. Heat Transfer 117 359
[14] Choi C E, Baek S W 1996 Combust. Sci. Technol. 115 297
[15] Yu M J, Baek S W, Park J H 2000 Int. J. Heat Mass Transfer 43 1699
[16] Riviere P, Soufiani A, Taine J 1995 J. Quant. Spectrosc. Radiat. Transfer 53 335
[17] Pierrot L, Riviere P, Soufiani A, Taine J 1999 J. Quant. Spectrosc. Radiat. Transfer 62 609
[18] Yang S S, Song T H 1999 Int. J. Therm. Sci. 38 228
[19] Liu F, Becker H A, Bindar Y 1998 Int. J. Heat Mass Transfer 41 3357
[20] Johansson R, Leckner B, Andersson K, Johnsson F 2011 Combust. Flame 158 893
[21] Yin C, Johansen L C R, Rosendahl L A, Kr S K 2010 Energy Fuels 24 6275
[22] Kangwanpongpan T, Frana F H R, da Silva R C, Schneider P S, Krautz H J 2012 Int. J. Heat Mass Transfer 55 7419
[23] Dorigon L J, Duciak G, Brittes R, Cassol F, Galarca M, Frana F H R 2013 Int. J. Heat Mass Transfer 64 863
[24] Bordbar M H, Wecel G, Hyppnen T 2014 Combust. Flame 161 2435
[25] Bahador M, Sunden B 2008 ASME Turbo Expo 2008: Power for Land, Sea, and Air Berlin, Germany, June 9-13, 2008 p1791
[26] Soufiani A, Taine J 1997 Int. J. Heat Mass Transfer 40 987
[27] Rivire P, Soufiani A 2012 Int. J. Heat Mass Transfer 55 3349
[28] Liu F, Gulder O L, Smallwood G J 1998 Int. J. Heat Mass Transfer 41 2227
[29] Cassol F, Brittes R, Frana F H R, Ezekoye O A 2014 Int. J. Heat Mass Transfer 79 796
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[1] Modest M F 2013 Radiative Heat Transfer (3rd Ed.) (San Diego: Academic Press) p303
[2] Peng Z M, Ding Y J, Zhai X D 2011 Acta Phys. Sin. 60 104702 (in Chinese) [彭志敏, 丁艳军, 翟晓东 2011 物理学报 60 104702]
[3] Lan L Q, Ding Y J, Jia J W, Du Y J, Peng Z M 2014 Acta Phys. Sin. 63 083301 (in Chinese) [蓝丽娟, 丁艳军, 贾军伟, 杜艳君, 彭志敏 2014 物理学报 63 083301]
[4] Zhang Z R, Wu B, Xia H, Pang T, Wang G X, Sun P S, Dong F Z, Wang Y 2013 Acta Phys. Sin. 62 234204 (in Chinese) [张志荣, 吴边, 夏滑, 庞涛, 王高旋, 孙鹏帅, 董凤忠, 王煜 2013 物理学报 62 234204]
[5] Wang M R, Cai T D 2015 Acta Phys. Sin. 64 213301 (in Chinese) [王敏锐, 蔡廷栋 2015 物理学报 64 213301]
[6] Chu H Q, Liu F S, Zhou H C 2011 Int. J. Heat Mass Transfer 54 4736
[7] Chu H Q, Liu F S, Zhou H C 2012 Int. J. Therm. Sci. 59 66
[8] Hottel H C, Sarofim A F 1967 Radiative Transfer (New York: McGraw-Hill) p20
[9] Smith T F, Shen Z F, Friedman J N 1982 J. Heat Transfer 104 602
[10] Modest M F 1991 J. Heat Transfer 113 650
[11] Soufiani A, Djavdan E 1994 Combust. Flame 97 240
[12] Denison M K, Webb B W 1993 J. Heat Transfer 115 1004
[13] Denison M K, Webb B W 1995 J. Heat Transfer 117 359
[14] Choi C E, Baek S W 1996 Combust. Sci. Technol. 115 297
[15] Yu M J, Baek S W, Park J H 2000 Int. J. Heat Mass Transfer 43 1699
[16] Riviere P, Soufiani A, Taine J 1995 J. Quant. Spectrosc. Radiat. Transfer 53 335
[17] Pierrot L, Riviere P, Soufiani A, Taine J 1999 J. Quant. Spectrosc. Radiat. Transfer 62 609
[18] Yang S S, Song T H 1999 Int. J. Therm. Sci. 38 228
[19] Liu F, Becker H A, Bindar Y 1998 Int. J. Heat Mass Transfer 41 3357
[20] Johansson R, Leckner B, Andersson K, Johnsson F 2011 Combust. Flame 158 893
[21] Yin C, Johansen L C R, Rosendahl L A, Kr S K 2010 Energy Fuels 24 6275
[22] Kangwanpongpan T, Frana F H R, da Silva R C, Schneider P S, Krautz H J 2012 Int. J. Heat Mass Transfer 55 7419
[23] Dorigon L J, Duciak G, Brittes R, Cassol F, Galarca M, Frana F H R 2013 Int. J. Heat Mass Transfer 64 863
[24] Bordbar M H, Wecel G, Hyppnen T 2014 Combust. Flame 161 2435
[25] Bahador M, Sunden B 2008 ASME Turbo Expo 2008: Power for Land, Sea, and Air Berlin, Germany, June 9-13, 2008 p1791
[26] Soufiani A, Taine J 1997 Int. J. Heat Mass Transfer 40 987
[27] Rivire P, Soufiani A 2012 Int. J. Heat Mass Transfer 55 3349
[28] Liu F, Gulder O L, Smallwood G J 1998 Int. J. Heat Mass Transfer 41 2227
[29] Cassol F, Brittes R, Frana F H R, Ezekoye O A 2014 Int. J. Heat Mass Transfer 79 796
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