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{RUBAN:2000:10.1017/s002211200000207x,
author = {RUBAN, AI and TURKYILMAZ, I},
doi = {10.1017/s002211200000207x},
journal = {Journal of Fluid Mechanics},
pages = {345--380},
title = {On laminar separation at a corner point in transonic flow},
url = {http://dx.doi.org/10.1017/s002211200000207x},
volume = {423},
year = {2000}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - <jats:p>The separation of the laminar boundary layer from a convex corner on a rigid body contour in transonic flow is studied based on the asymptotic analysis of the Navier–Stokes equations at large values of the Reynolds number. It is shown that the flow in a small vicinity of the separation point is governed, as usual, by strong interaction between the boundary layer and the inviscid part of the flow. Outside the interaction region the Kármán–Guderley equation describing transonic inviscid flow admits a self-similar solution with the pressure on the body surface being proportional to the cubic root of the distance from the separation point. Analysis of the boundary layer driven by this pressure shows that as the interaction region is approached the boundary layer splits into two parts: the near-wall viscous sublayer and the main body of the boundary layer where the flow is locally inviscid. It is interesting that contrary to what happens in subsonic and supersonic flows, the displacement effect of the boundary layer is primarily due to the inviscid part. The contribution of the viscous sublayer proves to be negligible to the leading order. Consequently, the flow in the interaction region is governed by the <jats:italic>inviscid</jats:italic>–<jats:italic>inviscid interaction</jats:italic>. To describe this flow one needs to solve the Kármán–Guderley equation for the potential flow region outside the boundary layer; the solution in the main part of the boundary layer was found in an analytical form, thanks to which the interaction between the boundary layer and external flow can be expressed via the corresponding boundary condition for the Kármán–Guderley equation. Formulation of the interaction problem involves one similarity parameter which in essence is the Kármán–Guderley parameter suitably modified for the flow at hand. The solution of the
AU  - RUBAN,AI
AU  - TURKYILMAZ,I
DO  - 10.1017/s002211200000207x
EP  - 380
PY  - 2000///
SN  - 0022-1120
SP  - 345
TI  - On laminar separation at a corner point in transonic flow
T2  - Journal of Fluid Mechanics
UR  - http://dx.doi.org/10.1017/s002211200000207x
VL  - 423
ER  -
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