Sensitivity analysis for guarded-hot-plate apparatus: A methodology based on orthogonal experiment designs

Published

September 9, 2014

Author(s)

Robert R. Zarr, James J. Filliben

Abstract

Results and analyses of a sensitivity study of six control factors on the response of the National Institute of Standards and Technology 500 mm guarded-hot-plate apparatus are presented. The effects of four factors held constant as well as three uncontrolled environmental factors were also examined. Sixty-six thermal conductivity measurements were conducted at a mean temperature of 310 K for a pair of fibrous-glass specimens (120 kg∙m-3) having nominal dimensions 500 mm in diameter and 26 mm in thickness. The apparatus response was studied using an orthogonal fractional factorial design, a one-factor-at-a-time design, and a full factorial design for a subset of factors from the fractionated design. The results indicate that the most important factor affecting the thermal conductivity measurement was the temperature difference across the air space separating the central meter plate and the surrounding guard plate, described here as the gap temperature offset (ΔTg). The study also revealed an interaction between the gap temperature offset and the temperature difference across the specimen (ΔTavg). An empirical model for the results of the sensitivity study is presented. Results of the gap temperature offset (ΔTg) are similar to published results from another guarded-hot-plate apparatus.

Citation

Journal of ASTM International

Volume

44

Issue

1

Pub Type

Journals

Keywords

experimental design, fractional factorial, full factorial, guarded hot plate, high density molded fibrous glass board, orthogonal, ruggedness, sensitivity, thermal conductivity, thermal insulation

Citation

Zarr, R. and Filliben, J. (2014), Sensitivity analysis for guarded-hot-plate apparatus: A methodology based on orthogonal experiment designs, Journal of ASTM International (Accessed May 10, 2025)