Calibration probe uncertainty and validation for the hypersonic material environmental test system. Brune, A. J., West, T. K., & Whit, L. M. Journal of Thermophysics and Heat Transfer, 34(2):404–420, American Institute of Aeronautics and Astronautics Inc., January, 2020.
doi  abstract   bibtex   
This paper presents an uncertainty analysis of the stagnation-point calibration probe surface predictions for conditions that span the performance envelope of the Hypersonic Materials Environmental Test System facility located at NASA Langley Research Center. A second-order stochastic expansion was constructed over 47 uncertain parameters to evaluate the sensitivities, identify the most significant uncertain variables, and quantify the uncertainty in the stagnation-point heat flux and pressure predictions of the calibration probe for low- and high-enthalpy test conditions. A sensitivity analysis showed that measurement bias uncertainty is the most significant contributor to the stagnation-point pressure and heat flux variance for the low-enthalpy condition. For the high-enthalpy condition, a paradigm shift in sensitivities revealed the computational fluid dynamics model input uncertainty as the main contributor. A comparison between the prediction and measurement of the stagnation-point conditions under uncertainty showed that there was evidence of statistical disagreement. A validation metric was proposed and applied to the prediction uncertainty to account for the statistical disagreement when compared with the possible stagnation-point heat flux and pressure measurements.
@article{brune2020,
	title = {Calibration probe uncertainty and validation for the hypersonic material environmental test system},
	volume = {34},
	doi = {10.2514/1.T5839},
	abstract = {This paper presents an uncertainty analysis of the stagnation-point calibration probe surface predictions for conditions that span the performance envelope of the Hypersonic Materials Environmental Test System facility located at NASA Langley Research Center. A second-order stochastic expansion was constructed over 47 uncertain parameters to evaluate the sensitivities, identify the most significant uncertain variables, and quantify the uncertainty in the stagnation-point heat flux and pressure predictions of the calibration probe for low- and high-enthalpy test conditions. A sensitivity analysis showed that measurement bias uncertainty is the most significant contributor to the stagnation-point pressure and heat flux variance for the low-enthalpy condition. For the high-enthalpy condition, a paradigm shift in sensitivities revealed the computational fluid dynamics model input uncertainty as the main contributor. A comparison between the prediction and measurement of the stagnation-point conditions under uncertainty showed that there was evidence of statistical disagreement. A validation metric was proposed and applied to the prediction uncertainty to account for the statistical disagreement when compared with the possible stagnation-point heat flux and pressure measurements.},
	number = {2},
	journal = {Journal of Thermophysics and Heat Transfer},
	publisher = {American Institute of Aeronautics and Astronautics Inc.},
	author = {Brune, Andrew J. and West, Thomas K. and Whit, Laura M.},
	month = jan,
	year = {2020},
	keywords = {CFD Simulation, Collocation Method, Cumulative Distribution Function, Enthalpy, Heat Flux, NASA Langley Research Center, Sensitivity Analysis, Slug Calorimeters, Stagnation Pressure, Thermal Protection System},
	pages = {404--420},
}

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