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PLATE-INJECTION INTO A SEPARATED SUPERSONIC BOUNDARY-LAYER

SMITH, FT; STEWARTS, K; (1973) PLATE-INJECTION INTO A SEPARATED SUPERSONIC BOUNDARY-LAYER. J FLUID MECH , 58 (MAR20) 143 - 159. 10.1017/S0022112073002181. Green open access

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Abstract

The structure of a supersonic laminar boundary layer near a flat plate is examined when fluid is injected into it with velocity of O(ε3U*[infty infinity]) over a distance of O(L). Here U*[infty infinity] is the undisturbed fluid velocity, L the length of the plate and ε−8 is a representative Reynolds number. An essential requirement of the theory is that separation must have occurred upstream of the blow through a free interaction. It is assumed that between separation and the blow the reversed flow region has a wedge-like shape, of semi-angle in which O(ε2), the fluid velocity has decayed to insignificant values at points just upstream of the blowing region. The blown fluid fills this wedge and the favourable pressure gradient necessary to drive this fluid downstream causes the boundary of the wedge to curve until at the end of the blow it is parallel to the plate. Explicit expressions for the pressure variation and boundary-layer thickness are worked out using a (crucially) modified form of the Cole-Aroesty theory. The relation. between the strong injection studied here and massive injection, when the blowing velocity is of O(U*[infty infinity]), is also discussed.

Type: Article
Title: PLATE-INJECTION INTO A SEPARATED SUPERSONIC BOUNDARY-LAYER
Open access status: An open access version is available from UCL Discovery
DOI: 10.1017/S0022112073002181
Publisher version: http://dx.doi.org/10.1017/S0022112073002181
Language: English
Additional information: © 1973 Cambridge University Press
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/82745
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