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 Zh. Vychisl. Mat. Mat. Fiz., 2009, Volume 49, Number 7, Pages 1295–1305 (Mi zvmmf4725)

Triple-deck analysis of formation of supersonic and local separation regions in transonic steady flow over a roughness element on the surface of a body of revolution

V. N. Diesperova, G. L. Korolevb

a Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia
b Zhukovsky Central Institute of Aerohydrodynamics, Zhukovskii, Moscow oblast, 140160, Russia

Abstract: Transonic axisymmetric flow over a body of rotation with a small roughness element located on its surface is considered. The body is manly cylindrical. The roughness height is assumed to be much smaller than the radius of the cylinder and such that a triple-deck flow is induced in its neighborhood. The goal of the work is to study the effect of the cylinder radius and the roughness shape on the triple-deck flow when the cylinder radius is of the same order as the transverse size of the triple-deck interaction region. In this case, the effect of three-dimensionality of the flow is exhibited even in the first approximation. Special attention is given to the structure of supersonic regions and closing shock waves arising in the outer potential region, as well as to local separation regions if they develop in the lower viscous boundary sublayer. Specifically, it is shown that, as the radius of the cylinder increases at a fixed roughness height, the shock intensity grows considerably, whereas the position of the main shock varies little.

Key words: transonic steady flow problems, supersonic region formation, local separation regions, unbounded layer problem.

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English version:
Computational Mathematics and Mathematical Physics, 2009, 49:7, 1235–1244

Bibliographic databases:

UDC: 519.634

Citation: V. N. Diesperov, G. L. Korolev, “Triple-deck analysis of formation of supersonic and local separation regions in transonic steady flow over a roughness element on the surface of a body of revolution”, Zh. Vychisl. Mat. Mat. Fiz., 49:7 (2009), 1295–1305; Comput. Math. Math. Phys., 49:7 (2009), 1235–1244

Citation in format AMSBIB
\Bibitem{DieKor09} \by V.~N.~Diesperov, G.~L.~Korolev \paper Triple-deck analysis of formation of supersonic and local separation regions in transonic steady flow over a~roughness element on the surface of a~body of revolution \jour Zh. Vychisl. Mat. Mat. Fiz. \yr 2009 \vol 49 \issue 7 \pages 1295--1305 \mathnet{http://mi.mathnet.ru/zvmmf4725} \transl \jour Comput. Math. Math. Phys. \yr 2009 \vol 49 \issue 7 \pages 1235--1244 \crossref{https://doi.org/10.1134/S0965542509070148} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000268295700014} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70349952090} 

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• http://mi.mathnet.ru/eng/zvmmf/v49/i7/p1295

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This publication is cited in the following articles:
1. G. L. Korolev, “Method for solving the equations describing the triple-deck interaction of a three-dimensional boundary layer with an outer inviscid transonic flow”, Comput. Math. Math. Phys., 54:10 (2014), 1571–1588
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