Detailed analysis of vibrational nonequilibrium of molecular oxygen in shock-heated flow

Iain D. Boyd and Eswar Josyula
Phys. Rev. Fluids 2, 123401 – Published 18 December 2017

Abstract

A detailed comparison is made of two different methods for simulating vibrational relaxation behind a strong shock wave in molecular oxygen. The first approach is phenomenological and makes a number of strong assumptions in using an overall vibrational energy relaxation equation. The second approach resolves all of the quantized vibrational energy states using temperature-dependent state-to-state transition rates. Comparisons with experimental measurements indicate that the state-resolved approach is more accurate. The assumptions made in the phenomenological model are assessed in detail by using the state-resolved approach. It is determined that all of the assumptions made in the simpler model are violated directly behind a strong shock wave. A parameter based on the effects of multi-quantum transitions is proposed for predicting when the more detailed modeling approach must be used in compressed non-reacting flows and is found to be effective.

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  • Received 7 September 2017

DOI:https://doi.org/10.1103/PhysRevFluids.2.123401

©2017 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

Iain D. Boyd*

  • Department of Aerospace Engineering, University of Michigan, Ann Arbor, Michigan 48109, USA

Eswar Josyula

  • U.S. Air Force Research Laboratory, Wright-Patterson Air Force Base, Ohio 45433, USA

  • *iainboyd@umich.edu
  • eswar.josyula@us.af.mil

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Vol. 2, Iss. 12 — December 2017

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