A mean flow field solution to a moderately under/over-expanded turbulent supersonic jet

Babak Emami; Markus Bussmann; Honghi N. Tran

doi:10.1016/j.crme.2009.05.002

A mean flow field solution to a moderately under/over-expanded turbulent supersonic jet

Presented by: Patrick Huerre

Babak Emami ¹ ; Markus Bussmann ¹; Honghi N. Tran ²

¹ Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, ON M5S 3G8, Canada
² Department of Chemical Engineering and Applied Chemistry, University of Toronto, Toronto, ON M5S 3E5, Canada

Comptes Rendus. Mécanique, Volume 337 (2009) no. 4, pp. 185-191.

Abstract
Résumé

The linearized solution for an inviscid imperfectly-expanded supersonic axisymmetric jet has been extended to the case of a turbulent flow, by taking into account the mean Reynolds stresses. The analytical results agree reasonably well with experimental data available in the literature, and so indicate that the solution is a good approximation to the near-field of an imperfectly-expanded jet. This analytical solution could be used to improve semi-empirical models of broadband shock-associated noise in aeronautics.

La solution linéarisée pour un jet à la fois axisymétrique, supersonique, non-visqueux et imparfaitement expansé a été portée au cas d'un ècoulement turbulent en tenant compte des contraintes Reynolds moyennes. Les résultats analytiques correspondent plutôt bien aux données expérimentales disponibles dans la literature. Ils indiquent donc que la solution est une bonne approximation au quasi-champ d'un jet imparfaitement expansé. Cette solution analytique pourrait servir à améliorer les modéles semi-empiriques de bruits de large bande liés aux chocs dans de domaine de l'aéronautique.

Received: 2009-03-23
Accepted: 2009-05-13
Published online: 2009-04-01

DOI: 10.1016/j.crme.2009.05.002

Keywords: Analytical solution, Supersonic, Jet
Mots-clés : Solution analytique, Supersonique, Jet

Author's affiliations:

Babak Emami ¹; Markus Bussmann ¹; Honghi N. Tran ²

¹ Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, ON M5S 3G8, Canada
² Department of Chemical Engineering and Applied Chemistry, University of Toronto, Toronto, ON M5S 3E5, Canada

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     author = {Babak Emami and Markus Bussmann and Honghi N. Tran},
     title = {A mean flow field solution to a moderately under/over-expanded turbulent supersonic jet},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {185--191},
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     year = {2009},
     doi = {10.1016/j.crme.2009.05.002},
     language = {en},
}

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Babak Emami; Markus Bussmann; Honghi N. Tran. A mean flow field solution to a moderately under/over-expanded turbulent supersonic jet. Comptes Rendus. Mécanique, Volume 337 (2009) no. 4, pp. 185-191. doi : 10.1016/j.crme.2009.05.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2009.05.002/

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