Imperial College London

DrMarinaKravtsova

Faculty of Natural SciencesDepartment of Mathematics

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736Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Ruban:2020:10.1017/jfm.2020.486,
author = {Ruban, A and Djehizian, A and Kirsten, J and Kravtsova, MA},
doi = {10.1017/jfm.2020.486},
journal = {Journal of Fluid Mechanics},
title = {On quasi-steady boundary-layer separation in supersonic flow. Part 2. Downstream moving separation point},
url = {http://dx.doi.org/10.1017/jfm.2020.486},
volume = {900},
year = {2020}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - In this paper we study the perturbations produced in the boundary layer by an impinging oblique shock wave or Prandtl–Meyer expansion fan. The flow outside the boundary layer is assumed supersonic, and we also assume that the point, where the shock wave/expansion fan impinges on the boundary layer, moves downstream. To study the flow, it is convenient to use the coordinate frame moving with the shock; in this frame, the body surface moves upstream. We first study numerically the case when the shock velocity Vsh=O(Re−1/8) . In this case the interaction of the boundary layer with the shock can be described by the classical equations of the triple-deck theory. We find that, as Vsh increases, the boundary layer proves to be more prone to separation when exposed to the expansion fan, not the compression shock. Then we assume Vsh to be in the range 1VshRe−1/8 . Under these conditions, the process of the interaction between the boundary layer and the shock/expansion fan can be treated as inviscid and quasi-steady if considered in the reference frame moving with the shock/expansion fan. The inviscid analysis allows us to determine the pressure distribution in the interaction region. We then turn our attention to a thin viscous sublayer that lies closer to the body surface. In this sublayer the flow is described by classical Prandtl's equations. The solution to these equations develops a singularity provided that the expansion fan is strong enough. The flow analysis in a small vicinity of the singular point shows an accelerated ‘expansion’ of the flow similar to the one reported by Neiland (Izv. Akad. Nauk SSSR, Mech. Zhidk. Gaza, vol. 5, 1969a, pp. 53–60) in his analysis of supersonic flow separation from a convex corner.
AU - Ruban,A
AU - Djehizian,A
AU - Kirsten,J
AU - Kravtsova,MA
DO - 10.1017/jfm.2020.486
PY - 2020///
SN - 0022-1120
TI - On quasi-steady boundary-layer separation in supersonic flow. Part 2. Downstream moving separation point
T2 - Journal of Fluid Mechanics
UR - http://dx.doi.org/10.1017/jfm.2020.486
UR - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000554970000001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR - http://hdl.handle.net/10044/1/83643
VL - 900
ER -