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基于有限立体角测量的谱色测温法

辛成运 程晓舫 张忠政

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基于有限立体角测量的谱色测温法

辛成运, 程晓舫, 张忠政
cstr: 32037.14.aps.62.030702

Primary spectrum pyrometry based on radiation measurement within a finite solid angle

Xin Cheng-Yun, Cheng Xiao-Fang, Zhang Zhong-Zheng
cstr: 32037.14.aps.62.030702
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  • 辐射测温是通过测量物体表面发射的辐射来反演温度. 本文结合线性发射率模型从辐射测温方程封闭求解的角度, 解释了谱色测温通常需采用微元立体角测量或针对漫发射体的有限立体角辐射测量的原因, 并推导出了有限立体角辐射测量条件下, 具有非漫发射性质物体表面温度测量的辐射测温方程, 该方程具有测量普适性. 以此方程为基础, 推导了具有测量普适性的谱色测温方程组, 发现不同的辐射测量条件下, 发射率标尺的取值范围相同, 但物理意义发生了明显变化.
    The true surface temperature for an object can be determined by measuring emitted radiation. Primary spectrum pyrometry should be generally carried out by radiation measurement within an infinitesimal solid angle or within a finite solid angle in the case of diffuse emission, so that the radiation thermometry equations become a closed system for temperature and other undetermined parameters. The radiation thermometry equation with linear emissivity model is obtained, which can be used to measure the temperature of the object with non-diffuse emission within a finite solid angle. This equation is universal in radiation measurement, based on which equations for primary spectrum pyrometry are deduced. These equations are also universal in radiation measurement, in which the emissivity scales under different measurement conditions are limited to the same range, but have different physical meanings.
    • 基金项目: 国家自然科学基金 (批准号: 50976112) 资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 50976112).
    [1]

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    [2]

    Fu T R, Cheng X F, Fan X L, Ding J L 2004 Metrologia 41 305

    [3]

    Sun X G, Dai J M, Cong D C, Chu Z X 1998 J. Infrared Millim. W. 17 221 (in Chinese) [孙晓刚, 戴景民, 丛大成, 褚载祥 1998 红外与毫米波学报 17 221]

    [4]

    Yang C L, Dai J M, Hu Y 2003 Chin. Phys. Lett. 20 1685

    [5]

    Gao P T, Zhang Q C, Fu S H, Hu Q, Gao Y 2010 Acta Phys. Sin. 59 458 (in Chinese) [曹鹏涛, 张青川, 符师桦, 胡琦, 高云 2010 59 458]

    [6]

    Gao P T, Zhang Q C, Xiao R, Xiong S M 2009 Acta Phys. Sin. 58 5591 (in Chinese) [曹鹏涛, 张青川, 肖锐, 熊少敏 2009 58 5591]

    [7]

    Dubrov A V, Dubrov V D, Zavalov, Y N, Panchenko V Y 2011 Appl. Phys. B Lasers Opt. 105 537

    [8]

    Fu T R, Cheng X F, Zhong M H 2007 Sci. China G 50 753

    [9]

    Dai J M, Sun X G, Lu X D, Cong D C 2002 Theory and Practice of Multi-Spectral Thermometry (Beijing: High Education Press) p4 (in Chinese) [戴景民, 孙晓刚, 卢小冬, 丛大成 2002 多光谱辐射测温理论与应用 (北京: 高等教育出版社) 第4页

    [10]

    Cheng X F, Zhou Z 1997 Sci. China E 27 342 (in Chinese) [程晓舫, 周洲 1997 中国科学E辑 27 342]

    [11]

    Fu T R, Cheng X F, Zhong M H, Yang C J 2008 Spectrosc. Spectr. Anal. 28 1 (in Chinese) [符泰然, 程晓舫, 钟茂华, 杨臧健 2008 光谱学与光谱分析 28 1]

    [12]

    Cheng X F, Fu T R, Fan X L 2005 Sci. China G 48 142

    [13]

    Fu T R, Cheng X F, Zhong M H 2007 Sci. China G 50 753

    [14]

    Fu T R, Cheng X F, Wu B, Zhong M H, Shi C L, Liu T M 2006 Meas. Sci. Technol. 17 379

    [15]

    Fu T R, Cheng X F, Zhong M H, Liu T M 2006 Meas. Sci. Technol. 17 2751

    [16]

    Fu T R, Cheng X F, Zhong M H, Yang C J 2008 Spectrosc. Spectr. Anal. 28 1994 (in Chinese) [符泰然, 程晓舫, 钟茂华, 杨臧健 2008 光谱学与光谱分析 28 1994]

    [17]

    Fu T R, Cheng X F, Zhong M H, Yang C J 2006 Spectrosc. Spectr. Anal. 26 2166 (in Chinese) [符泰然, 程晓舫, 钟茂华, 杨臧健 2006 光谱学与光谱分析 26 2166]

    [18]

    Incropera F P, DeWitt D P, Bergman T L, Lavine A S (Translated by Ge X S, Ye H) 2007 Fundamentals of Heat and Mass Transfer (6th Edn.) (Beijing: Chemical Industry Press) p445 (in Chinese) [Incropera F P, DeWitt D P, Bergman T L, Lavine A S 著, 葛新石, 叶宏译 2007 传热和传质基本原理 (第六版) (北京: 化工出版社) 第445 页]

    [19]

    Incropera F P, DeWitt D P, Bergman T L, Lavine A S (Translated by Ge X S, Ye H) 2007 Fundamentals of Heat and Mass Transfer (6th Edn.) (Beijing: Chemical Industry Press) pp451-452 (in Chinese) [Incropera F P, DeWitt D P, Bergman T L, Lavine A S著 葛新石, 叶宏 译 2007 传热和传质基本原理 (第六版) (北京: 化学工业出版社) 第451—452页]

    [20]

    Department of Mathematics of ECNU 2010 Mathematical Analysis (Vol.2) (4th Edn.) (Beijing: Higher Education Press) p230 (in Chinese) [华东师范大学数学系2010数学分析 (下册) (第四版) (北京:高等教育出版社) 第230页]

  • [1]

    Coates P B 1981 Metrologia 17 103

    [2]

    Fu T R, Cheng X F, Fan X L, Ding J L 2004 Metrologia 41 305

    [3]

    Sun X G, Dai J M, Cong D C, Chu Z X 1998 J. Infrared Millim. W. 17 221 (in Chinese) [孙晓刚, 戴景民, 丛大成, 褚载祥 1998 红外与毫米波学报 17 221]

    [4]

    Yang C L, Dai J M, Hu Y 2003 Chin. Phys. Lett. 20 1685

    [5]

    Gao P T, Zhang Q C, Fu S H, Hu Q, Gao Y 2010 Acta Phys. Sin. 59 458 (in Chinese) [曹鹏涛, 张青川, 符师桦, 胡琦, 高云 2010 59 458]

    [6]

    Gao P T, Zhang Q C, Xiao R, Xiong S M 2009 Acta Phys. Sin. 58 5591 (in Chinese) [曹鹏涛, 张青川, 肖锐, 熊少敏 2009 58 5591]

    [7]

    Dubrov A V, Dubrov V D, Zavalov, Y N, Panchenko V Y 2011 Appl. Phys. B Lasers Opt. 105 537

    [8]

    Fu T R, Cheng X F, Zhong M H 2007 Sci. China G 50 753

    [9]

    Dai J M, Sun X G, Lu X D, Cong D C 2002 Theory and Practice of Multi-Spectral Thermometry (Beijing: High Education Press) p4 (in Chinese) [戴景民, 孙晓刚, 卢小冬, 丛大成 2002 多光谱辐射测温理论与应用 (北京: 高等教育出版社) 第4页

    [10]

    Cheng X F, Zhou Z 1997 Sci. China E 27 342 (in Chinese) [程晓舫, 周洲 1997 中国科学E辑 27 342]

    [11]

    Fu T R, Cheng X F, Zhong M H, Yang C J 2008 Spectrosc. Spectr. Anal. 28 1 (in Chinese) [符泰然, 程晓舫, 钟茂华, 杨臧健 2008 光谱学与光谱分析 28 1]

    [12]

    Cheng X F, Fu T R, Fan X L 2005 Sci. China G 48 142

    [13]

    Fu T R, Cheng X F, Zhong M H 2007 Sci. China G 50 753

    [14]

    Fu T R, Cheng X F, Wu B, Zhong M H, Shi C L, Liu T M 2006 Meas. Sci. Technol. 17 379

    [15]

    Fu T R, Cheng X F, Zhong M H, Liu T M 2006 Meas. Sci. Technol. 17 2751

    [16]

    Fu T R, Cheng X F, Zhong M H, Yang C J 2008 Spectrosc. Spectr. Anal. 28 1994 (in Chinese) [符泰然, 程晓舫, 钟茂华, 杨臧健 2008 光谱学与光谱分析 28 1994]

    [17]

    Fu T R, Cheng X F, Zhong M H, Yang C J 2006 Spectrosc. Spectr. Anal. 26 2166 (in Chinese) [符泰然, 程晓舫, 钟茂华, 杨臧健 2006 光谱学与光谱分析 26 2166]

    [18]

    Incropera F P, DeWitt D P, Bergman T L, Lavine A S (Translated by Ge X S, Ye H) 2007 Fundamentals of Heat and Mass Transfer (6th Edn.) (Beijing: Chemical Industry Press) p445 (in Chinese) [Incropera F P, DeWitt D P, Bergman T L, Lavine A S 著, 葛新石, 叶宏译 2007 传热和传质基本原理 (第六版) (北京: 化工出版社) 第445 页]

    [19]

    Incropera F P, DeWitt D P, Bergman T L, Lavine A S (Translated by Ge X S, Ye H) 2007 Fundamentals of Heat and Mass Transfer (6th Edn.) (Beijing: Chemical Industry Press) pp451-452 (in Chinese) [Incropera F P, DeWitt D P, Bergman T L, Lavine A S著 葛新石, 叶宏 译 2007 传热和传质基本原理 (第六版) (北京: 化学工业出版社) 第451—452页]

    [20]

    Department of Mathematics of ECNU 2010 Mathematical Analysis (Vol.2) (4th Edn.) (Beijing: Higher Education Press) p230 (in Chinese) [华东师范大学数学系2010数学分析 (下册) (第四版) (北京:高等教育出版社) 第230页]

计量
  • 文章访问数:  8058
  • PDF下载量:  647
  • 被引次数: 0
出版历程
  • 收稿日期:  2012-06-19
  • 修回日期:  2012-08-31
  • 刊出日期:  2013-02-05

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