Imperial College London
Alternate

Emeritus ProfessorAnatolyRuban

Faculty of Natural Sciences, Department of Mathematics

Emeritus Professor
 
 
 
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Contact

 

+44 (0)20 7594 8498a.ruban

 
 
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Location

 

748Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Logue:2014:10.1098/rsta.2013.0342,
author = {Logue, RP and Gajjar, JSB and Ruban, AI},
doi = {10.1098/rsta.2013.0342},
journal = {Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences},
pages = {20130342--20130342},
title = {Instability of supersonic compression ramp flow},
url = {http://dx.doi.org/10.1098/rsta.2013.0342},
volume = {372},
year = {2014}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - <jats:p>            The instability of supersonic compression ramp flow is investigated. It is assumed that the Reynolds number is large and that the governing equations are the unsteady triple-deck equations. The mean flow is first calculated by solving the steady equations for various scaled ramp angles            <jats:italic>α</jats:italic>            , and the numerical results suggest that there is no singularity for increasing ramp angles. The stability of the flow is investigated using two approaches, first by solving the linearized unsteady equations and looking for global modes proportional to            <jats:italic>e</jats:italic>            <jats:sup>              λ              <jats:italic>t</jats:italic>            </jats:sup>            . In the second approach, the linearized unsteady equations are solved numerically with various initial conditions. Whereas no globally unsteady modes could be found for the range of ramp angles studied, the numerical simulations show the formation of wavepacket type disturbances which grow and convect and reach large amplitudes. However, the numerical results show large variations with grid size even on very fine grids.          </jats:p>
AU  - Logue,RP
AU  - Gajjar,JSB
AU  - Ruban,AI
DO  - 10.1098/rsta.2013.0342
EP  - 20130342
PY  - 2014///
SN  - 1364-503X
SP  - 20130342
TI  - Instability of supersonic compression ramp flow
T2  - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
UR  - http://dx.doi.org/10.1098/rsta.2013.0342
VL  - 372
ER  -
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