Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-18T19:49:15.931Z Has data issue: false hasContentIssue false

Corrigenda to “Drift”

Published online by Cambridge University Press:  28 March 2006

M. J. Lighthill
Affiliation:
Department of Mathematics, University of Manchester
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In the author's paper “Drift” (Lighthill 1956) there are mistakes which need correction. Equation (28) should read $\phi \sim -\frac {m}{4\pi U_r}\;\; as \;\; r \rightarrow \infty$ (28) since the definition of the disturbance potential ϕ (p. 35) states that the full velocity potential is U(x + ϕ). Hence by (18) equation (29) for the asymptotic form of the secondary flow due to a source should read $v_x = -\frac {Amy} {4 \pi U (y^2 + z^2)} \left(1 + \frac{\chi}{r}\right),\;\;\;\; v_y = -\frac {Am}{4\pi Ur}, \;\;\;\; v_z=0$ (29) where as well as the U's a 4π was accidentally missing from the version printed and a y misprinted as x.

Type
Corrigenda
Copyright
© 1957 Cambridge University Press

References

Lighthill, M. J. 1956 J. Fluid Mech. 1, 31.