Abstract
Methodologies are developed for evaluating uncertainties in droplet size measurements and burning rates for droplet combustion experiments that have been performed on the International Space Station. Different uncertainty sources are considered and propagated into the combined standard uncertainties via the Taylor series method. The local polynomial method is used to provide estimates of instantaneous burning rates. Results from analyses of non-sooting (methanol) or lightly sooting (heptane) droplets as well as moderately sooting (decane/propylbenzene) droplets are presented. Ninety-five percent expanded uncertainties in droplet diameters and burning rates are typically about 0.1 mm and 0.005 mm 2/s, respectively, for methanol and heptane droplets and 0.1 mm and 0.02 mm 2/s for decane/propylbenzene droplets, though uncertainties can be larger during ignition and extinction events.
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References
Cabrera, J.L.O.: locpol: Kernel local polynomial regression. R package version 0.6-0 (2012). http://CRAN.R-project.org/package=locpol
Coleman, H.W., Steele, W.G.: Experimentation, Validation, and Uncertainty Analysis for Engineers. John Wiley, New York (2009)
Dembia, C.L., Liu, Y.-C., Avedisian, C.T.: Automated data analysis for consecutive images from droplet combustion experiments. Image Anal. & Stereology 31, 137–148 (2012)
Dietrich, D.L., Ferkul, P.V., Bryg, V.M., Nayagam, V., Hicks, M.C., Williams, F.A., Dryer, F.L., Shaw, B.D., Choi, M.Y., Avedisian, C.T.: Detailed Results from the Flame Extinguishment Experiment (FLEX) - March 2009 to December 2010, NASA/TP-2013-216046. NASA John H. Glenn Research Center, Cleveland (2013)
Fan, J.-Q., Gubels, I.: Data driven bandwidth selection in local polynomial fitting: variable bandwidth and spatial adaptation. J. R. Stat. Soc. B 57, 371–394 (1995)
Farouk, T.I, Dryer, F.L.: On the extinction characteristics of alcohol droplet combustion under microgravity conditions - a numerical study. Combust. Flame 159, 3208–3223 (2012)
Farouk, T.I., Liu, Y.C., Avedisian, C.T., Dryer, F.L.: Sub-millimeter sized methyl butanoate droplet combustion: Microgravity experiments and detailed numerical modeling. Proc. Comb. Inst. 34, 1609–1616 (2013)
International Organization of Standardization (ISO): Evaluation of measurement data – Guide to the expression of uncertainty in measurement, JCGM 100:2008 (2008). http://www.bipm.org/utils/common/documents/jcgm/JCGM_100_2008_E.pdf
Law, C.K.: Asymptotic theory for ignition and extinction in droplet burning. Combust. Flame 24, 89–98 (1975)
Law, C.K.: Combustion Physics. Cambridge University Press, New York (2006)
Liu, Y.C., Farouk, T.I., Savas, A.J., Dryer, F.L., Avedisian, C.T.: On the spherically symmetrical combustion of methyl decanoate droplets and comparisons with detailed numerical modeling. Combust. Flame 160, 641–655 (2013)
Marchese, J., Dryer, F.L.: The effect of non-luminous thermal radiation in microgravity droplet combustion. Combust. Sci. Technol. 124, 371–402 (1997)
R Core Team: R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria (2013). http://www.R-project.org/
Sirignano, W.A., 2nd edn: Fluid Dynamics and Transport of Droplets and Sprays. Cambridge University Press, New York (2010)
Webster, J.G.: The Measurement Instrumentation and Sensors Handbook. CRC Press, Boca Raton (1999)
Williams, F.A.: Combustion Theory - the Fundamental Theory of Chemically Reacting Flow Systems, Perseus Books, Reading, MA (1985)
Zhang, B.L., Card, J.M., Williams, F.A.: Application of rate-ratio asymptotics to the prediction of extinction for methanol droplet combustion. Combust. Flame 105, 267–290 (1996)
Acknowledgments
The financial support of the National Aeronautics and Space Administration is gratefully acknowledged. The Technical Monitor was Dr. Daniel L. Dietrich. We appreciate discussions with V. Berg, D. L. Dietrich, F. L. Dryer, P. Ferkul, M. Hicks, V. Nayagam, and F. A. Williams. We also express our sincere gratitude to the management, engineering, and operations teams at NASA and Zin Technology, Inc. and the ISS astronauts who participated in the experiments. Gratitude is also expressed to A. Austin, H. Daqqa, and R. Wong for their efforts with statistical analysis of the data via the STA 401 class at UC Davis.
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Shaw, B.D. ISS Droplet Combustion Experiments - Uncertainties in Droplet Sizes and Burning Rates. Microgravity Sci. Technol. 26, 89–99 (2014). https://doi.org/10.1007/s12217-014-9377-x
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DOI: https://doi.org/10.1007/s12217-014-9377-x