Published: August 25, 2014
Robert R. Zarr, Nathanael A. Heckert, Stefan D. Leigh
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 35 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: 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. 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.
Citation: Journal of Research of the National Institute of Standards and Technology
Pub Type: Journals
bulk density, certified reference material, fit, guarded hot plate, high density molded fibrous glass board, model, regression analysis, standard reference material, thermal conductivity, thermal insulation
Created August 25, 2014, Updated February 19, 2017