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Boundary layer flow on a long thin cylinder

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.
1070-6631
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
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), 628-637. (doi:10.1063/1.1427921).

Record type: Article

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.

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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

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Date deposited: 24 Mar 2006
Last modified: 18 Nov 2019 19:21

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Contributors

Author: O.R. Tutty
Author: W.G. Price
Author: A.T. Parsons

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