Calibration of rates parameters for multi-temperature models using Bayesian formulation

M. Panesi, K. Miki, K. Schulz, E. Prudencio, S. Prudhomme

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations


In this paper, we apply a Bayesian analysis to calibrate the parameters of a model for atomic Nitrogen ionization using experimental data from the Electric Arc Shock Tube (EAST, from NASA) wind-tunnel. We use a one-dimensional flow solver coupled with a radiation solver for the simulation of the radiative signature emitted in the shock-heated air plasma, as well as a Park's two-temperature model for the thermal and chemical nonequilibrium effects. We simultaneously quantify model parameter uncertainties and physical model inadequacies when solving the statistical inverse problem. Prior to the solution of such a problem, we perform a sensitivity analysis of the radiative heat flux in order to identify important sources of uncertainty. This analysis clearly shows the importance of the direct ionization of atomic Nitrogen as it mostly influences the radiative heating. We then solve the statistical inverse problem and compare the calibrated reaction rates against values available in the literature. Our calculations estimate the reaction rate of the atomic Nitrogen ionization to be (3:7±1:5)×1011 cm3mol-1s-1 at 10,000 K, a range consistent with Park's estimation. Finally, in order to assess the validity of the estimated parameters, we propagate their uncertainties through a statistical forward problem defined on a prediction scenario different from the calibration scenarios and compare the model predictions against other experimental data.

Original languageEnglish (US)
Title of host publication42nd AIAA Thermophysics Conference
StatePublished - 2011
Externally publishedYes
Event42nd AIAA Thermophysics Conference 2011 - Honolulu, HI, United States
Duration: Jun 27 2011Jun 30 2011


Other42nd AIAA Thermophysics Conference 2011
Country/TerritoryUnited States
CityHonolulu, HI

ASJC Scopus subject areas

  • Aerospace Engineering
  • Mechanical Engineering
  • Condensed Matter Physics


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