等温黑体空腔积分发射率响应面法研究
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摘要
高性能黑体辐射源是高精度复现辐射温度的关键装置。采用有限体积法模拟计算了黑体空腔积分发射率,其结果与Monte-Carlo法计算结果吻合良好,且在高发射率时较Monte-Carlo法能更准确地模拟空腔积分发射率的变化趋势。基于响应面试验设计,模拟了圆锥-圆柱黑体空腔长径比L/D、光阑开孔直径比Da/D、圆锥顶角θ和腔壁材料发射率ε及其交互作用对空腔积分发射率εe的影响。结果表明:Da/D和ε对εe影响显著; L/D和θ对εe的影响不显著。研究结果可为高性能黑体辐射源的研制和研究提供借鉴。
High-performance blackbody radiation source is the key equipment for highly precision reproduction of radiation temperature. Integrated emissivity of blackbody cavity numerically simulated by finite volume method( FVM) has a good agreement with the result computed by Monte-Carlo method( MCM). Moreover,the FVM can predict the trend of integrated emissivity more accurately than MCM. Based on design of experiment with response surface method,key factors and their interactions of a cylindro-conical cavity,such as length-to-diameter ratio L/D,aperture diameter to cylinder diameter ratio Da/D,cone angle θ,and intrinsic emissivity of the cavity surface ε,are analyzed for integrated emissivityεe. The results show that Da/D and ε are significant factors; L/D and θ have less influence on εe. The results can provide references for the manufacture and study on high-performance blackbody radiation source.
High-performance blackbody radiation source is the key equipment for highly precision reproduction of radiation temperature. Integrated emissivity of blackbody cavity numerically simulated by finite volume method( FVM) has a good agreement with the result computed by Monte-Carlo method( MCM). Moreover,the FVM can predict the trend of integrated emissivity more accurately than MCM. Based on design of experiment with response surface method,key factors and their interactions of a cylindro-conical cavity,such as length-to-diameter ratio L/D,aperture diameter to cylinder diameter ratio Da/D,cone angle θ,and intrinsic emissivity of the cavity surface ε,are analyzed for integrated emissivityεe. The results show that Da/D and ε are significant factors; L/D and θ have less influence on εe. The results can provide references for the manufacture and study on high-performance blackbody radiation source.
引文
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[13]蔡璐璐,田海霞,吴飞,等.高温黑体空腔有效发射率的计算[J].计量学报,2016,37(6):602-605.Cai L L,Tian H X,Wu F,et al. Calculate on effective emissivity of high-temperature blackbody cavity[J].Acta Metrologica Sinica,2016,37(6):602-605.
[14]赵亿坤,王景辉,原遵东,等.低温标准黑体辐射源的性能研究[J].计量学报,2017,38(5):589-592.Zhao Y K,Wang J H,Yuan Z D,et al. Study on the performance of the low-temperature blackbody radiation source[J]. Acta Metrologica Sinica,2017,38(5):589-592.
[2] Prokhorov A V,Hanssen L M. Effective emissivity of a cylindrical cavity with an inclined bottom:I. Isothermal cavity[J]. Metrologia,2004,41(6):421-431.
[3]段宇宁,原遵东,吴继彧.温度均匀黑体空腔有效发射率近似计算方法(黑体辐射源研究之一)[J].现代计量测试,2000,(4):3-8.Duan Y N,Yuan Z D,Wu J Y. Approximate calculating methods for cavity effective emissivity of temperature homogeneous blackbody[J]. Modern Measurement and Test,2000,(4):3-8.
[4] Saunders P. Optimising blackbody cavity shape for spatially uniform integrated emissivity[J]. International Journal of Thermophysics,2017,38(1):9.
[5]黄东涛,陆家钦,段宇宁,等.黑体空腔发射率计算的蒙特卡罗模型[J].清华大学学报(自然科学版),1997,37(2):30-33.Huang D T,Lu J Q,Duan Y N,et al. Monte-Carlo model for calculation of cavity effective emissivities[J].Journal of Tsinghua University(Sci&Tech),1997,37(2):30-33.
[6]沈久利,邢婷婷,吴飞.基于Monte-Carlo法的圆锥形黑体腔有效发射率的研究[J].计量学报,2018,39(3):359-362.Shen J L,Xing T T,Wu F. Research on the Effective Emissivity of Conical Blackbody Cavity Based on MonteCarlo Method[J]. Acta Metrologica Sinica,2018,39(3):359-362.
[7] Prokhorov A V,Hanssen L M. Effective emissivity of a cylindrical cavity with an inclined bottom:II. Nonisothermal cavity[J]. Metrologia, 2010, 47(1):33-46.
[8] De Lucas J. A simple geometrical model for calculation of the effective emissivity in blackbody cylindrical cavities[J]. International Journal of Thermophysics,2015,36(2):267-282.
[9]刘仁学,王磊.腔体发射率计算的ANSYS分析方法[J].计量技术,2008,(4):6-8.
[10] Liu D, Duan Y Y, Yang Z. Integrated effective emissivity computation for non-isothermal nonaxisymmetric cavities[J]. Chinese Optics Letters,2013,11(2):022001.
[11] Liu D,Duan Y Y,Yang Z. Calculations of the average normal effective emissivity for nonaxisymmetric cavities using the modified finite volume method[J]. Optical Engineering,2013,52(3):039702.
[12]段远源,刘东,王景辉,等.等温黑体空腔积分发射率的计算[J].热科学与技术,2012,11(2):125-129.Duan Y Y,Liu D,Wang J H,et al. Computation of integrated effective emissivity of isothermal cavities[J].Journal of Thermal Science and Technology,2012,11(2):125-129.
[13]蔡璐璐,田海霞,吴飞,等.高温黑体空腔有效发射率的计算[J].计量学报,2016,37(6):602-605.Cai L L,Tian H X,Wu F,et al. Calculate on effective emissivity of high-temperature blackbody cavity[J].Acta Metrologica Sinica,2016,37(6):602-605.
[14]赵亿坤,王景辉,原遵东,等.低温标准黑体辐射源的性能研究[J].计量学报,2017,38(5):589-592.Zhao Y K,Wang J H,Yuan Z D,et al. Study on the performance of the low-temperature blackbody radiation source[J]. Acta Metrologica Sinica,2017,38(5):589-592.