Zarr Robert R, Heckert N Alan, Leigh Stefan D
National Institute of Standards and Technology, Gaithersburg, MD 20899.
J Res Natl Inst Stand Technol. 2014 Aug 25;119:296-370. doi: 10.6028/jres.119.012. eCollection 2014.
Thermal conductivity data acquired previously for the establishment of Standard Reference Material (SRM) 1450, Fibrous Glass Board, as well as subsequent renewals 1450a, 1450b, 1450c, and 1450d, are re-analyzed collectively and as individual data sets. Additional data sets for proto-1450 material lots are also included in the analysis. The data cover 36 years of activity by the National Institute of Standards and Technology (NIST) in developing and providing thermal insulation SRMs, specifically high-density molded fibrous-glass board, to the public. Collectively, the data sets cover two nominal thicknesses of 13 mm and 25 mm, bulk densities from 60 kg·m(-3) to 180 kg·m(-3), and mean temperatures from 100 K to 340 K. The analysis repetitively fits six models to the individual data sets. The most general form of the nested set of multilinear models used is given in the following equation: [Formula: see text]where λ(ρ,T) is the predicted thermal conductivity (W·m(-1)·K(-1)), ρ is the bulk density (kg·m(-3)), T is the mean temperature (K) and ai (for i = 1, 2, … 6) are the regression coefficients. The least squares fit results for each model across all data sets are analyzed using both graphical and analytic techniques. The prevailing generic model for the majority of data sets is the bilinear model in ρ and T. [Formula: see text] One data set supports the inclusion of a cubic temperature term and two data sets with low-temperature data support the inclusion of an exponential term in T to improve the model predictions. Physical interpretations of the model function terms are described. Recommendations for future renewals of SRM 1450 are provided. An Addendum provides historical background on the origin of this SRM and the influence of the SRM on external measurement programs.
先前为建立标准参考物质(SRM)1450纤维玻璃板以及后续更新版本1450a、1450b、1450c和1450d而获取的热导率数据,被作为单个数据集和整体进行重新分析。分析中还纳入了原始1450材料批次的其他数据集。这些数据涵盖了美国国家标准与技术研究院(NIST)在开发和向公众提供隔热标准参考物质(具体为高密度模压纤维玻璃板)方面36年的工作。总体而言,这些数据集涵盖了13毫米和25毫米两种标称厚度、60千克·米⁻³至180千克·米⁻³的堆积密度以及100 K至340 K的平均温度。分析过程中反复将六个模型拟合到各个数据集。所使用的嵌套多线性模型集的最一般形式由以下方程给出:[公式:见原文]其中λ(ρ,T)是预测的热导率(瓦·米⁻¹·开⁻¹),ρ是堆积密度(千克·米⁻³),T是平均温度(开尔文),ai(i = 1, 2, … 6)是回归系数。使用图形和分析技术对所有数据集上每个模型的最小二乘拟合结果进行分析。大多数数据集普遍适用的通用模型是ρ和T的双线性模型。[公式:见原文]一个数据集支持纳入立方温度项,两个包含低温数据的数据集支持在T中纳入指数项以改进模型预测。描述了模型函数项的物理解释。提供了关于SRM 1450未来更新的建议。附录提供了该标准参考物质起源的历史背景以及该标准参考物质对外部测量计划的影响。