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{Jain:2021:10.1017/jfm.2020.776,
author = {Jain, K and Ruban, AI and Braun, S},
doi = {10.1017/jfm.2020.776},
journal = {Journal of Fluid Mechanics},
title = {On receptivity of marginally separated flows},
url = {http://dx.doi.org/10.1017/jfm.2020.776},
volume = {907},
year = {2021}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - In this paper we study the receptivity of the boundary layer to suction/blowing in marginally separated flows, like the one on the leading edge of a thin aerofoil. We assume that the unperturbed laminar flow is two-dimensional, and investigate the response of the boundary layer to two-dimensional as well as to three-dimensional perturbations. In both cases, the perturbations are assumed to be weak and periodic in time. Unlike conventional boundary layers, the marginally separated boundary layers cannot be treated using the quasi-parallel approximation. This precludes the normal-mode representation of the perturbations. Instead, we had to solve the linearised integro-differential equation of the marginal separation theory, which was done numerically. For two-dimensional perturbations, the results of the calculations show that the perturbations first grow in the inside of the separation region, but then start to decay downstream. For three-dimensional perturbations, instead of dealing with the integro-differential equation of marginal separation, we found it convenient to work with the Fourier transforms of the fluid-dynamic functions. The equations for the Fourier transforms are also solved numerically. Our calculations show that a three-dimensional wave packet forms downstream of the source of perturbations in the boundary layer.
AU  - Jain,K
AU  - Ruban,AI
AU  - Braun,S
DO  - 10.1017/jfm.2020.776
PY  - 2021///
SN  - 0022-1120
TI  - On receptivity of marginally separated flows
T2  - Journal of Fluid Mechanics
UR  - http://dx.doi.org/10.1017/jfm.2020.776
UR  - http://hdl.handle.net/10044/1/92543
VL  - 907
ER  -
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