Non-boltzmann vibrational energy distribution model for shock-heated flows

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations


Dissociation is strongly coupled to the vibrational energy population of the dissociating gas. High-temperature excitation results in the overpopulation of high-energy states which enhances the dissociation rate as high-vibrational energy states are strongly favored to dissociation. Dissociation then results in the depletion of the high-energy population and consequently a balance between excitation and dissociation is reached resulting in quasi-steady state (QSS). QSS is characterized by time invariant non-Boltzmann depleted distributions and therefore reduced dissociation rates relative to the equilibrium estimates. In the kinetics models developed thus far, either the non-Boltzmann effects are ignored or added as pre-factors in an ad-hoc manner to an equilibrium rate constant. Recently, using ab initio potential energy surfaces, direct molecular simulation (DMS) approach has simulated the evolution of air species at the conditions representative of post-shock conditions. Based on the DMS data, a simple physics based model to characterize the non-Boltzmann distributions is developed. The model is compared with zero dimensional DMS simulations for nitrogen and oxygen at constant temperature (isothermal) and constant energy (adiabatic) conditions. The non-Boltzmann distributions are then used in conjunction with state-specific dissociation rate constants to derive a non-equilibrium continuum dissociation model.

Original languageEnglish (US)
Title of host publicationAIAA Scitech 2020 Forum
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624105951
StatePublished - 2020
EventAIAA Scitech Forum, 2020 - Orlando, United States
Duration: Jan 6 2020Jan 10 2020

Publication series

NameAIAA Scitech 2020 Forum
Volume1 PartF


ConferenceAIAA Scitech Forum, 2020
Country/TerritoryUnited States

Bibliographical note

Funding Information:
The research presented is supported by Air Force Office of Scientific Research Grant FA9550-16-1-0161. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the AFOSR or the US government. The research is also partially supported by Doctoral Dissertation Fellowship at the University of Minnesota.

Publisher Copyright:
© 2020, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.

Copyright 2021 Elsevier B.V., All rights reserved.


Dive into the research topics of 'Non-boltzmann vibrational energy distribution model for shock-heated flows'. Together they form a unique fingerprint.

Cite this