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The vortex line in steady, incompressible Oseen flow (2006)
Journal Article
Chadwick, E. (2006). The vortex line in steady, incompressible Oseen flow. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 462(2066), 391-401. https://doi.org/10.1098/rspa.2005.1593

The horseshoe vortex is given in Oseen flow as a constant spanwise distribution of lift Oseenlets. From this, the vortex line is represented in steady, incompressible Oseen flow. The velocity near to the vortex line is determined, as well as near to... Read More about The vortex line in steady, incompressible Oseen flow.

A slender-wing theory in potential flow (2005)
Journal Article
Chadwick, E. (2005). A slender-wing theory in potential flow. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 461(2054), 415-432. https://doi.org/10.1098/rspa.2004.1295

Consider uniform, steady potential flow past a slender wing. By considering a horseshoe vortex in the limit as γ/Us → ∞, where γ is the circulation, U is the uniform stream velocity and s is the span, a model representing a vortex sheet is obtained f... Read More about A slender-wing theory in potential flow.

A slender-body theory in Oseen flow (2002)
Journal Article
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

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 prese... Read More about A slender-body theory in Oseen flow.