How Accurate are Your Experimental Data? A More Accessible GUM-Based Methodology for Uncertainty Evaluation

被引:1
作者
Bernardini, Luca [1 ]
McLinden, Mark O. [2 ]
Yang, Xiaoxian [1 ]
Richter, Markus [1 ]
机构
[1] Tech Univ Chemnitz, Appl Thermodynam, D-09107 Chemnitz, Germany
[2] Natl Inst Stand & Technol, Appl Chem & Mat Div, Boulder, CO 80305 USA
关键词
Data evaluation; GUM; Sensitivity analysis; Uncertainty; EQUATION-OF-STATE; CARBON-DIOXIDE; FLUID REGION; DENSITY; PRESSURES; TEMPERATURES; LIQUID; DENSIMETERS; EQUILIBRIUM; NITROGEN;
D O I
10.1007/s10765-024-03446-9
中图分类号
O414.1 [热力学];
学科分类号
摘要
A methodology for evaluating experimental uncertainty is presented. Based on the Guide to the Expression of Uncertainty in Measurement (GUM) in conjunction with a sensitivity analysis, this method readily applies to systems of various degrees of complexity. It consists of three steps: (1) to estimate each uncertainty contribution of the system based on GUM; (2) to determine the sensitivity of the calculated results to variations in each of the input measurands in turn, replacing the partial derivatives of the GUM with a purely numerical approach; and (3) to calculate the overall uncertainty using the error propagation principle. Furthermore, the calculated sensitivity coefficients enable a critical evaluation of the investigated system, allowing the detection of possible targeted improvements. For this reason, the presented method is called "the sensitivity analysis method." This is applied to three case studies with increasing complexity: a mass calibration procedure, a volume calibration procedure, and a gravimetric densimeter characterized by a multi-parameter nonlinear measuring model. When possible, the results are compared to the GUM uncertainty framework or values available in the literature.
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页数:44
相关论文
共 38 条
[1]  
[Anonymous], 2008, JCGM, V100, P2008, DOI [10.59161/JCGM100-2008E, DOI 10.59161/JCGM100-2008E]
[2]   The Four-Sinker Densimeter: A New Instrument for the Combined Investigation of Accurate Densities and Sorption Phenomena of Pure Gases and Gas Mixtures [J].
Bernardini, Luca ;
Kleinrahm, Reiner ;
Moritz, Katharina ;
Mclinden, Mark O. ;
Richter, Markus .
INTERNATIONAL JOURNAL OF THERMOPHYSICS, 2024, 45 (04)
[3]  
BIPM IEC IFCC ILAC ISO IUPAC IUPAP OIML, 2009, The GE90 an introduction
[4]   DENSITY SCALE BASED ON SOLID OBJECTS [J].
BOWMAN, HA ;
SCHOONOVER, RM ;
CARROLL, CL .
JOURNAL OF RESEARCH OF THE NATIONAL BUREAU OF STANDARDS SECTION A-PHYSICS AND CHEMISTRY, 1974, A 78 (01) :13-40
[5]   UTILIZATION OF SOLID OBJECTS AS REFERENCE STANDARDS IN DENSITY-MEASUREMENTS [J].
BOWMAN, HA ;
SCHOONOVER, RM ;
CARROLL, CL .
METROLOGIA, 1974, 10 (04) :117-121
[6]   Evaluating the Experimental Uncertainty in Gas and Vapor Sorption/Adsorption Measurements: Fundamental Considerations and Experimental Design Implications [J].
Box, William J. ;
Webb, Matthew T. ;
Galizia, Michele .
INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 2022, 61 (27) :9856-9868
[7]   Adsorption equilibrium of methane, carbon dioxide, and nitrogen on zeolite 13X at high pressures [J].
Cavenati, S ;
Grande, CA ;
Rodrigues, AE .
JOURNAL OF CHEMICAL AND ENGINEERING DATA, 2004, 49 (04) :1095-1101
[8]   EQUATION FOR THE DETERMINATION OF THE DENSITY OF MOIST AIR (1981/91) [J].
DAVIS, RS .
METROLOGIA, 1992, 29 (01) :67-70
[9]   High Pressure Thermal Conductivity Measurements of Ternary (Methane plus Propane plus Heptane) Mixtures with a Transient Hot-Wire Apparatus [J].
Kim, Dongchan ;
Al Ghafri, Saif Z. S. ;
Yang, Xiaoxian ;
Mylona, Sofia K. ;
Hughes, Thomas J. ;
McElroy, Luke ;
May, Eric F. .
INTERNATIONAL JOURNAL OF THERMOPHYSICS, 2021, 42 (12)
[10]   Magnetic suspension balance for simultaneous measurement of a sample and the density of the measuring fluid [J].
Dreisbach, F ;
Lösch, HW .
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY, 2000, 62 (02) :515-521