On the axisymmetric stability of heated supersonic round jets

Samanta, Arnab (2016) On the axisymmetric stability of heated supersonic round jets. In: PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 472 (2188).

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Abstract

We perform an inviscid, spatial stability analysis of supersonic, heated round jets with the mean properties assumed uniform on either side of the jet shear layer, modelled here via a cylindrical vortex sheet. Apart from the hydrodynamic Kelvin-Helmholtz (K-H) wave, the spatial growth rates of the acoustically coupled supersonic and subsonic instability waves are computed for axisymmetric conditions (m=0) to analyse their role on the jet stability, under increased heating and compressibility. With the ambient stationary, supersonic instability waves may exist for any jet Mach number M-j >= 2, whereas the subsonic instability waves, in addition, require the core-to-ambient flow temperature ratio T-j/T-o > 1. We show, for moderately heated jets at T-j/T-o > 2, the acoustically coupled instability modes, once cut on, to govern the overall jet stability with the K-H wave having disappeared into the cluster of acoustic modes. Sufficiently high heating makes the subsonic modes dominate the jet near-field dynamics, whereas the supersonic instability modes form the primary Mach radiation at far field.

Item Type:	Journal Article
Publication:	PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Publisher:	ROYAL SOC
Additional Information:	Copy right for this article belongs to the ROYAL SOC, 6-9 CARLTON HOUSE TERRACE, LONDON SW1Y 5AG, ENGLAND
Keywords:	hydrodynamic stability; aeroacoustics; supersonic heated jets
Department/Centre:	Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited:	08 Jul 2016 05:51
Last Modified:	08 Jul 2016 05:51
URI:	http://eprints.iisc.ac.in/id/eprint/54159

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