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Unsteadiness boundaries in supersonic flow over double cones

Hornung, H. G. and Gollan, R. J. and Jacobs, P. A. (2021) Unsteadiness boundaries in supersonic flow over double cones. Journal of Fluid Mechanics, 916 . Art. No. A5. ISSN 0022-1120. https://resolver.caltech.edu/CaltechAUTHORS:20210423-155558042

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Abstract

A computational parameter study of the viscous axisymmetric supersonic flow over a double cone is made with a view to determining the boundary of the region in which such flows are unsteady. The study is restricted to the case when the boundary layer is laminar. The features of both the steady and unsteady flows in different characteristic regions of the parameter space are described. In particular, the phenomenon of pulsating flow typical of spiked blunt bodies (small first-cone angle, θ₁, and large second-cone angle, θ₂), is shown to be inviscid in nature. In θ₁–θ₂ space, the region of unsteady flow is enclosed in a loop with a lower and an upper θ₂ branch with a maximum θ ₁ between. The location of the lower θ₂ branch is determined by the second-cone detachment angle θ_(2d). For this reason, the gas model in one of the conditions is chosen to be thermally perfect carbon dioxide (at Mach number 8) for which θ_(2d) is quite large. In the other cases, the gas model is perfect-gas nitrogen at Mach numbers 2, 4 and 7.7. In the hypersonic range, within the uncertainties, and in the parameter range covered, the unsteadiness boundary is shown to depend on only three dimensionless parameters.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1017/jfm.2021.203DOIArticle
ORCID:
AuthorORCID
Hornung, H. G.0000-0002-4903-8419
Gollan, R. J.0000-0001-8062-0848
Additional Information:© The Author(s), 2021. Published by Cambridge University Press. (Received 14 November 2020; revised 2 February 2021; accepted 2 March 2021) This work was partially supported by the US Air Force Office of Scientific Research under contract AFOSR FA9550-15-1-0288, P.I.: J.M. Austin, program officer: I.A. Leyva. The authors report no conflict of interest.
Group:GALCIT
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)FA9550-15-1-0288
Subject Keywords:high-speed flow; hypersonic flow; shock waves
Record Number:CaltechAUTHORS:20210423-155558042
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210423-155558042
Official Citation:Hornung, H., Gollan, R., & Jacobs, P. (2021). Unsteadiness boundaries in supersonic flow over double cones. Journal of Fluid Mechanics, 916, A5. doi:10.1017/jfm.2021.203
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108821
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:26 Apr 2021 15:10
Last Modified:26 Apr 2021 15:10

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