Dependence of calculated postshock thermodynamic variables on vibrational equilibrium and input uncertainty
Abstract
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:
-
- Sandia National Lab. (SNL-CA), Livermore, CA (United States)
- Los Gatos Research, Mountain View, CA (United States)
- Stanford Univ., Stanford, CA (United States)
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-CA), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1343621
- Report Number(s):
- SAND-2016-12715J
Journal ID: ISSN 0887-8722; 649989
- Grant/Contract Number:
- AC04-94AL85000
- Resource 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.
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING
Citation Formats
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., 2017.
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. https://doi.org/10.2514/1.T4952
Campbell, Matthew Frederick, Owen, Kyle G., Davidson, David F., and Hanson, Ronald K. Mon .
"Dependence of calculated postshock thermodynamic variables on vibrational equilibrium and input uncertainty". United States. https://doi.org/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 = {Mon Jan 30 00:00:00 EST 2017},
month = {Mon Jan 30 00:00:00 EST 2017}
}
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- Park, Chul; Griffith, Wayland
- Physics Today, Vol. 44, Issue 2
Decomposition Measurements of RP-1, RP-2, JP-7, n-Dodecane, and Tetrahydroquinoline in Shock Tubes
journal, September 2011
- MacDonald, Megan E.; Davidson, David F.; Hanson, Ronald K.
- Journal of Propulsion and Power, Vol. 27, Issue 5
Measurements of CO_2 concentration and temperature at high pressures using 1f-normalized wavelength modulation spectroscopy with second harmonic detection near 27 μm
journal, January 2009
- Farooq, A.; Jeffries, J. B.; Hanson, R. K.
- Applied Optics, Vol. 48, Issue 35
An experimental and analytical study of acetylene and ethylene oxidation behind shock waves
journal, January 1977
- Jachimowski, Casimir J.
- Combustion and Flame, Vol. 29
Near-infrared diode laser absorption sensor for rapid measurements of temperature and water vapor in a shock tube
journal, September 2007
- Li, H.; Farooq, A.; Jeffries, J. B.
- Applied Physics B, Vol. 89, Issue 2-3
The Dynamics of Real Gases
journal, November 1964
- Clarke, J. F.; McChesney, M.; Talbot, L.
- Physics Today, Vol. 17, Issue 11
Shock tubes
journal, January 1962
- Wright, J. K.
- Journal of the Franklin Institute, Vol. 273, Issue 1, p. 81
On the Coupling of Vibrational Relaxation with the Dissociation−Recombination Kinetics: From Dynamics to Aerospace Applications
journal, May 2006
- Capitelli, M.; Colonna, G.; Esposito, F.
- The Journal of Physical Chemistry A, Vol. 110, Issue 17
The Dynamics of Real Gases
journal, March 1966
- Clarke, J. F.; McChesney, M.; Scott, J. E.
- Journal of Applied Mechanics, Vol. 33, Issue 1
Vibration-dissociation coupling using master equations in nonequilibrium hypersonic blunt-body flows
conference, August 2000
- Josyula, Eswar; Bailey, William
- 31st Plasmadynamics and Lasers Conference
High Fidelity Modeling of Thermal Relaxation and Dissociation of Oxygen
conference, January 2016
- Andrienko, Daniil; Boyd, Iain D.
- 54th AIAA Aerospace Sciences Meeting
Shock Tubes
book, February 2011
- Bazhenova, T. V.
- A-to-Z Guide to Thermodynamics, Heat and Mass Transfer, and Fluids Engineering
Viscous normal shock solutions including chemical, thermal, and radiative nonequilibrium
conference, August 1994
- Mott, David; Gally, Thomas; Carlson, Leland
- 25th Plasmadynamics and Lasers Conference
Measuring and Comparing the Ignition Delay Times of Diesel, Ethanol Additive and Biodiesel Using a Shock Tube
conference, October 2014
- Santana, Claudio Marcio; Barros, Jose Eduardo Mautone; Carvalho, Matheus Guilherme França
- 23rd SAE Brasil International Congress and Display, SAE Technical Paper Series