Boundary layer flow on a long thin cylinder
Boundary layer flow on a long thin cylinder
The development of the boundary layer along a long thin cylinder aligned with the flow is considered. Numerical solutions are presented and compared with previous asymptotic results. Very near the leading edge the flow is given by the Blasius solution for a flat plate. However, there is soon a significant deviation from Blasius flow, with a thinner boundary layer and higher wall shear stress. Linear normal mode stability of the flow is investigated. It is found that for Reynolds numbers less than a critical value of 1060 the flow is unconditionally stable. Also, axisymmetric modes are only the fourth least stable modes for this problem, with the first three three-dimensional modes all having a lower critical Reynolds number. Further, for Reynolds numbers above the critical value, the flow is unstable only for a finite distance, and returns to stability sufficiently far downstream.
628-637
Tutty, O.R.
c9ba0b98-4790-4a72-b5b7-09c1c6e20375
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c
Parsons, A.T.
5c65dad7-d397-4bc3-9e8a-d285b1852e7f
February 2002
Tutty, O.R.
c9ba0b98-4790-4a72-b5b7-09c1c6e20375
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c
Parsons, A.T.
5c65dad7-d397-4bc3-9e8a-d285b1852e7f
Tutty, O.R., Price, W.G. and Parsons, A.T.
(2002)
Boundary layer flow on a long thin cylinder.
Physics of Fluids, 14 (2), .
(doi:10.1063/1.1427921).
Abstract
The development of the boundary layer along a long thin cylinder aligned with the flow is considered. Numerical solutions are presented and compared with previous asymptotic results. Very near the leading edge the flow is given by the Blasius solution for a flat plate. However, there is soon a significant deviation from Blasius flow, with a thinner boundary layer and higher wall shear stress. Linear normal mode stability of the flow is investigated. It is found that for Reynolds numbers less than a critical value of 1060 the flow is unconditionally stable. Also, axisymmetric modes are only the fourth least stable modes for this problem, with the first three three-dimensional modes all having a lower critical Reynolds number. Further, for Reynolds numbers above the critical value, the flow is unstable only for a finite distance, and returns to stability sufficiently far downstream.
Text
boundary_layer_flow_on_a_long_thing_cylinder.pdf
- Version of Record
More information
Published date: February 2002
Identifiers
Local EPrints ID: 23665
URI: http://eprints.soton.ac.uk/id/eprint/23665
ISSN: 1070-6631
PURE UUID: 828f5b64-7450-4cc5-b147-7d4708dc52a4
Catalogue record
Date deposited: 24 Mar 2006
Last modified: 15 Mar 2024 06:49
Export record
Altmetrics
Contributors
Author:
O.R. Tutty
Author:
A.T. Parsons
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics