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Title: Dependence of calculated postshock thermodynamic variables on vibrational equilibrium and input uncertainty

The purpose of this article is to explore the dependence of calculated postshock thermodynamic properties in shock tube experiments upon the vibrational state of the test gas and upon the uncertainties inherent to calculation inputs. This paper first offers a comparison between state variables calculated according to a Rankine–Hugoniot–equation-based algorithm, known as FROSH, and those derived from shock tube experiments on vibrationally nonequilibrated gases. It is shown that incorrect vibrational relaxation assumptions could lead to errors in temperature as large as 8% for 25% oxygen/argon mixtures at 3500 K. Following this demonstration, this article employs the algorithm to show the importance of correct vibrational equilibration assumptions, noting, for instance, that errors in temperature of up to about 2% at 3500 K may be generated for 10% nitrogen/argon mixtures if vibrational relaxation is not treated properly. Lastly, this article presents an extensive uncertainty analysis, showing that postshock temperatures can be calculated with root-of-sum-of-square errors of better than ±1% given sufficiently accurate experimentally measured input parameters.
Authors:
 [1] ;  [2] ;  [3] ;  [3]
  1. Sandia National Lab. (SNL-CA), Livermore, CA (United States)
  2. Los Gatos Research, Mountain View, CA (United States)
  3. Stanford Univ., Stanford, CA (United States)
Publication Date:
Report Number(s):
SAND-2016-12715J
Journal ID: ISSN 0887-8722; 649989
Grant/Contract Number:
AC04-94AL85000
Type:
Accepted Manuscript
Journal Name:
Journal of Thermophysics and Heat Transfer
Additional Journal Information:
Journal Volume: 31; Journal Issue: 3; Journal ID: ISSN 0887-8722
Publisher:
American Institute of Aeronautics and Astronautics, Inc.
Research Org:
Sandia National Lab. (SNL-CA), Livermore, CA (United States)
Sponsoring Org:
USDOE National Nuclear Security Administration (NNSA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING
OSTI Identifier:
1343621

Campbell, Matthew Frederick, Owen, Kyle G., Davidson, David F., and Hanson, Ronald K.. Dependence of calculated postshock thermodynamic variables on vibrational equilibrium and input uncertainty. United States: N. p., Web. doi:10.2514/1.T4952.
Campbell, Matthew Frederick, Owen, Kyle G., Davidson, David F., & Hanson, Ronald K.. Dependence of calculated postshock thermodynamic variables on vibrational equilibrium and input uncertainty. United States. doi:10.2514/1.T4952.
Campbell, Matthew Frederick, Owen, Kyle G., Davidson, David F., and Hanson, Ronald K.. 2017. "Dependence of calculated postshock thermodynamic variables on vibrational equilibrium and input uncertainty". United States. doi:10.2514/1.T4952. https://www.osti.gov/servlets/purl/1343621.
@article{osti_1343621,
title = {Dependence of calculated postshock thermodynamic variables on vibrational equilibrium and input uncertainty},
author = {Campbell, Matthew Frederick and Owen, Kyle G. and Davidson, David F. and Hanson, Ronald K.},
abstractNote = {The purpose of this article is to explore the dependence of calculated postshock thermodynamic properties in shock tube experiments upon the vibrational state of the test gas and upon the uncertainties inherent to calculation inputs. This paper first offers a comparison between state variables calculated according to a Rankine–Hugoniot–equation-based algorithm, known as FROSH, and those derived from shock tube experiments on vibrationally nonequilibrated gases. It is shown that incorrect vibrational relaxation assumptions could lead to errors in temperature as large as 8% for 25% oxygen/argon mixtures at 3500 K. Following this demonstration, this article employs the algorithm to show the importance of correct vibrational equilibration assumptions, noting, for instance, that errors in temperature of up to about 2% at 3500 K may be generated for 10% nitrogen/argon mixtures if vibrational relaxation is not treated properly. Lastly, this article presents an extensive uncertainty analysis, showing that postshock temperatures can be calculated with root-of-sum-of-square errors of better than ±1% given sufficiently accurate experimentally measured input parameters.},
doi = {10.2514/1.T4952},
journal = {Journal of Thermophysics and Heat Transfer},
number = 3,
volume = 31,
place = {United States},
year = {2017},
month = {1}
}