Experimentation, Validation, and Uncertainty Analysis for Engineers

Coleman, Hugh W.; Steele, W. Glenn

doi:10.1002/9781119417989

Cited by 417 publications

(279 citation statements)

References 0 publications

Supporting

Mentioning

273

Contrasting

Unclassified

Order By: Relevance

“…A standard propagation of uncertainty argument [Coleman and Steele, 2009] leads to the following expression for estimating the band of variability in minimum crack lifetime estimates (detailed in Appendix F):…”

Section: Model Results Variability Due To Rock and Environment Variabimentioning

confidence: 99%

“…In brief, we adapt a standard propagation of uncertainty argument [Coleman and Steele, 2009] to the task of estimating the random relative variability, δr/r, in the derived or modeled quantity, r. Crucially, extending the propagation of uncertainty argument to the estimation of the random relative variability, δr/r, is permissible since the broad, nonrestrictive statistical assumptions, and the mathematical steps [Coleman and Steele, 2009] used in the propagation of uncertainty argument-which leads to equation (F2) below-hold and can be applied here.…”

Section: F2 Derivation Of Estimated Relative Variability δR/rmentioning

confidence: 99%

“…Thus, consider estimation of the relative uncertainty, δf/f, in a quantity, f = f(y 1 , y 2 , … , y N ), which depends on N measured (random) variables, y 1 , y 2 , … , y N , each of which is subject to a measured or estimated relative uncertainty, δy j /y j .Using a straightforward propagation of uncertainty argument [Coleman and Steele, 2009] leads to the following estimate for the relative uncertainty in r, produced by uncertainties in each of the random variables, y j :…”

Section: F2 Derivation Of Estimated Relative Variability δR/rmentioning

confidence: 99%

See 2 more Smart Citations

Mechanical weathering and rock erosion by climate‐dependent subcritical cracking

Eppes

Keanini

2017

Reviews of Geophysics

196

150

View full text Add to dashboard Cite

This work constructs a fracture mechanics framework for conceptualizing mechanical rock breakdown and consequent regolith production and erosion on the surface of Earth and other terrestrial bodies. Here our analysis of fracture mechanics literature explicitly establishes for the first time that all mechanical weathering in most rock types likely progresses by climate‐dependent subcritical cracking under virtually all Earth surface and near‐surface environmental conditions. We substantiate and quantify this finding through development of physically based subcritical cracking and rock erosion models founded in well‐vetted fracture mechanics and mechanical weathering, theory, and observation. The models show that subcritical cracking can culminate in significant rock fracture and erosion under commonly experienced environmental stress magnitudes that are significantly lower than rock critical strength. Our calculations also indicate that climate strongly influences subcritical cracking—and thus rock weathering rates—irrespective of the source of the stress (e.g., freezing, thermal cycling, and unloading). The climate dependence of subcritical cracking rates is due to the chemophysical processes acting to break bonds at crack tips experiencing these low stresses. We find that for any stress or combination of stresses lower than a rock's critical strength, linear increases in humidity lead to exponential acceleration of subcritical cracking and associated rock erosion. Our modeling also shows that these rates are sensitive to numerous other environment, rock, and mineral properties that are currently not well characterized. We propose that confining pressure from overlying soil or rock may serve to suppress subcritical cracking in near‐surface environments. These results are applicable to all weathering processes.

show abstract

Section: Model Results Variability Due To Rock and Environment Variabimentioning

confidence: 99%

Section: F2 Derivation Of Estimated Relative Variability δR/rmentioning

confidence: 99%

Section: F2 Derivation Of Estimated Relative Variability δR/rmentioning

confidence: 99%

See 1 more Smart Citation

Mechanical weathering and rock erosion by climate‐dependent subcritical cracking

Eppes

Keanini

2017

Reviews of Geophysics

196

150

View full text Add to dashboard Cite

show abstract

“…An uncertainty analysis is conducted to determine the maximum errors of the direct and the indirect measurement data. 22 The uncertainties of the experimental data are calculated and shown in Table 4. The uncertainty of direct measurement data can be obtained from Equation (12…”

Section: Uncertainty Analysismentioning

confidence: 99%

Experimental investigations on start‐up performance of static nuclear reactor thermal prototype

et al. 2020

View full text Add to dashboard Cite

Summary Nuclear power is most suited to satisfy the energy demands of future deep space exploration. In this paper, we propose a static nuclear reactor (the nuclear static thermoelectric reactor [NUSTER]), which offers the advantages of superior modularization, simplification, a fully static state, and passive operation. Based on the conceptual design of a static nuclear reactor, an electrical heating principle prototype was designed and fabricated to validate the feasibility of the fully static passive energy conversion concept. Skutterudite thermoelectric generators (TEGs) were used for static energy conversion, and potassium heat pipes were employed for passive heat transfer. The system start‐up performance, restart performance, and thermoelectric performance were investigated using the thermal principle prototype. We proposed a new approach to analyze the heat pipe start‐up process based on the heat transfer performance. The experimental results indicated that the restart process can be used to reduce the start‐up time, because the low heat flux stage is avoided. During the start‐up process, the TEGs hot side heat flux and temperature difference were gradually established, and the TEGs open circuit voltage and power density gradually increased. A maximum open circuit voltage and power density of 38.2 V and 0.92 W/cm2, respectively, were achieved when the TEGs temperature difference reached 575°C. The high performance of the thermal principle prototype demonstrated the feasibility of the NUSTER conceptual design, and the experimental data can serve as a valuable reference for optimization of static reactor designs.

show abstract

“…hour) in the observed records and comparing the missing records to the confidence interval range. The confidence interval for each hourly record was estimated by (a) sub-setting the entire dataset for each given hour (e.g., selecting the records from all years for 1 Jan. 01:00), (b) calculating the mean and the standard error at 95% confidence level for the subset, and (c) calculating the lower and upper limit of the confidence interval by subtracting and adding the standard error to the mean, respectively (Helsel and Hirsch, 2002;Coleman and Steele, 2018). For precipitation, the downscaled dataset was assessed using observed hourly precipitation from the closest station (i.e.…”

Section: Gap-fillingmentioning

confidence: 99%

Long‐term weather, streamflow, and water chemistry datasets for hydrological modelling applications at the upper La Salle River watershed in Manitoba, Canada

Cordeiro

Vanrobaeys

Wilson

2019

Geoscience Data Journal

View full text Add to dashboard Cite

Long‐term weather (1990–2013), streamflow (1990–2013; excluding 7 years with no or poor data), and water chemistry (2009–2013) datasets for hydrological modelling applications were developed using simple methods for the upper La Salle River watershed, in Canada, to address the lack of such datasets in the northern Red River Basin. Weather variables consist of temperature, relative humidity, wind speed, solar radiation, and precipitation disaggregated to an hourly time‐step. The only hydrometric variable included in the dataset is stream discharge in a daily time‐step. Water chemistry data consisted of total nitrogen (TN), total dissolved nitrogen (TDN), total phosphorus (TP), and total dissolved phosphorus (TDP). Samples were collected weekly during the open water season at the same site as the hydrometric gauging station from August 2009 to October 2012 with some gaps (i.e. Fall 2011, Spring 2012, September 2012). In 2013 the sampling frequency was increased to daily or sub‐daily during high stream discharge and weekly during low stream discharge. A data overview indicates values within ranges reported for the area. Mean annual, winter, and summer temperatures were 3.5, −10.7, and 17.2°C, respectively. Annual relative humidity averaged 73.1% but was higher and more homogenous in cold seasons. Wind speed was similar over the year with annual average of 4.3 m/s. Solar radiation followed the typical curve reported for western Canada, with peak daily average values around 250 W/m2 in July. Precipitation records were mostly comprised of dry hours with 75.3% of the events being equal or less than 2 mm/h. Stream discharge was typical of the Canadian Prairies; the average peak discharge over the entire period was larger in April (2.3 m3/s) due to large amounts of snowmelt runoff. Average concentrations of TN, TDN, TP, and TDP of 1.54, 1.35, 0.56, and 0.49 mg/L, respectively, were in agreement with values found in previous studies at the site. Open Practices This article has earned an Open Data badge for making publicly available the digitally‐shareable data necessary to reproduce the reported results. The data is available at https://doi.org/10.23684/odi-2017-00957. Learn more about the Open Practices badges from the Center for Open Science: https://osf.io/tvyxz/wiki.

show abstract

Experimentation, Validation, and Uncertainty Analysis for Engineers

Cited by 417 publications

References 0 publications

Mechanical weathering and rock erosion by climate‐dependent subcritical cracking

Mechanical weathering and rock erosion by climate‐dependent subcritical cracking

Experimental investigations on start‐up performance of static nuclear reactor thermal prototype

Long‐term weather, streamflow, and water chemistry datasets for hydrological modelling applications at the upper La Salle River watershed in Manitoba, Canada

Contact Info

Product

Resources

About