A slender-body theory in Oseen flow

Chadwick, EA

Abstract

Consider steady flow generated by a uniform velocity field past a fixed closed slender body whose major axis is aligned closely to the uniform stream direction. Let us assume Oseen flow with the slip boundary condition. A slender-body theory is presented. In the near field, let us assume that the second-derivative changes in the velocity and pressure fields are of lower order in the axial direction of the slender body than in the transverse plane. The hydrodynamic forces are then related to the body shape by using matched asymptotics.

Citation

Chadwick, E. (2002). A slender-body theory in Oseen flow. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 458(2024), 2007-2016. https://doi.org/10.1098/rspa.2002.0996

• Journal Article Type: Article
• Publication Date: May 29, 2002
• Deposit Date: Sep 3, 2007
• Journal: Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences
• Print ISSN: 1364-5021
• Publisher: The Royal Society
• Peer Reviewed: Peer Reviewed
• Volume: 458
• Issue: 2024
• Pages: 2007-2016
• DOI: https://doi.org/10.1098/rspa.2002.0996
• Keywords: Oseen flow, slender-body theory, ship manoeuvring
• Publisher URL: http://dx.doi.org/10.1098/rspa.2002.0996