The University of Southampton
University of Southampton Institutional Repository

Flow along a long thin cylinder

Record type: Article

Two different approaches have been used to calculate turblent flow along a long thin culinder where the flow is aligned with the cylinder. A boundary-layer code is used to predict the mean flow for very long cylinders (length to ratio of up to O(106)), with the effects of the turbulence estimated through a turbulence model. Detailed comparison with experimental results shows that the mean properties of the flow are predicted within experimental accuracy. The boundary-layer model predicts that, sufficiently far downstream, the surface shear stress will be (almost) constant. This is consistent with experimental results from long cylinders in the form of sonar arrays. A periodic Navier-Stokes problem is formulated, and solutions generated for the boundary-layer model and experiments. Strongly turbulent flow occurs only near the surface of the cylinder, with relatively weak turbulence over most of the boundary layer. For a thick boundary layer with the boundary-layer thickness much larger than the cylinder radius, the mean flow is effectively constant near the surface, in both temporal and spatial frameworks, while the outer flow continues to develop in time or space. Calculations of the circumferentially averaged surface pressure spectrum sho that, in physical terms, as the radius of the cylinder decreases, the surface noise from the turbulence increases, with the maximum noise at a Reynolds number of O(103). An increase in noise with a decrease in radius (Reynolds number) is consistent with experimental results.

PDF flow_along_a_long_thin_corridor.pdf - Other
Download (804kB)

Citation

Tutty, O.R. (2008) Flow along a long thin cylinder Journal of Fluid Mechanics, 602, pp. 1-37. (doi:10.1017/S0022112008000542).

More information

Published date: May 2008
Organisations: Aerodynamics & Flight Mechanics, Engineering Sciences

Identifiers

Local EPrints ID: 155357
URI: http://eprints.soton.ac.uk/id/eprint/155357
ISSN: 0022-1120
PURE UUID: 6063cee0-e63d-4528-af17-07986ddfc47b

Catalogue record

Date deposited: 27 May 2010 14:22
Last modified: 18 Jul 2017 12:45

Export record

Altmetrics


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

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×