No CrossRef data available.
A note on a source in a rotating liquid
Published online by Cambridge University Press: 24 October 2008
Extract
Consider an inviscid incompressible fluid confined within an infinite tube of radius b and assume that its motion initially consists of a uniform translation with velocity U and a uniform rotation, with angular velocity ω, about the tube axis. Suppose now that at time t = 0 a unit source of fluid situated at a point O of the axis begins to emit fluid at a uniform rate and that ultimately the flow pattern so modified becomes steady (at a fixed point as t → ∞). Under the further assumption that far upstream flow conditions are undisturbed by the source the stream function ψ of the disturbance satisfies
where z denotes distance along the axis from O, r distance from the axis and k = 2ω/U.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 2 , April 1968 , pp. 507 - 511
- Copyright
- Copyright © Cambridge Philosophical Society 1968