Transient growth analysis of hypersonic flow over an elliptic cone
نویسندگان
چکیده
Non-modal linear stability analysis results are presented for hypersonic flow over an elliptic cone with aspect ratio of two at zero angle attack, completing earlier modal instability around the same geometry. The theoretical framework to perform transient growth compressible flows on a generalized two-dimensional frame reference is developed first time and then applied solve initial-value problem governing non-modal planes perpendicular axis, taken successive streamwise locations along cone. Parameter ranges examined here chosen so as model flight Hypersonic International Flight Research Experimentation 5 (HIFiRE-5) test geometry altitudes 21 km 33 km, corresponding Mach numbers 7.45 8.05 unit Reynolds $Re' = 1.07\times 10^7$ $1.89\times 10^6$ , respectively. Results obtained indicate that significance laminar–turbulent transition increases increasing altitude (decreasing number). At given set parameters, stronger in vicinity tip azimuthal away from both minor (centreline) major (attachment line) axes Linear optimal disturbances calculated conditions maximal found peak crossflow region These structures elongated spatial direction, while being periodic spanwise direction periodicity lengths order magnitude well-known identified vortices experiments simulations.
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ژورنال
عنوان ژورنال: Journal of Fluid Mechanics
سال: 2022
ISSN: ['0022-1120', '1469-7645']
DOI: https://doi.org/10.1017/jfm.2022.46