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Buoyancy-modulated Lagrangian drift in wavy-walled vertical channels as a model problem to understand drug dispersion in the spinal canal – ERRATUM

Published online by Cambridge University Press:  27 October 2022

Abstract

Type
Erratum
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
© The Author(s), 2022. Published by Cambridge University Press.

The publisher apologises that upon publication of the article, the second derivative on the right-hand side of equation 3.21 was mistyped and thus presented incorrectly as

(3.21)\begin{equation}\frac{\textrm{d}}{{\textrm{d}x}}\left( {\int_0^H {\frac{{{u_{SS}}}}{{{\alpha^2}}}\,\textrm{d}y} } \right) = \frac{\textrm{d}}{{\textrm{d}x}}\left( {\frac{{\textrm{d}{p_{SS}}}}{{}}\textrm{d}x\frac{{{H^3}}}{{12}} + \frac{1}{2}\int_0^H {Fy(H - y)\,\textrm{d}y} } \right) = 0,\end{equation}

The correct equation should be as below

(3.21)\begin{equation}\frac{\textrm{d}}{{\textrm{d}x}}\left( {\int_0^H {\frac{{{u_{SS}}}}{{{\alpha^2}}}\,\textrm{d}y} } \right) = \frac{\textrm{d}}{{\textrm{d}x}}\left( {\frac{{\textrm{d}{p_{SS}}}}{{\textrm{d}x}}\frac{{{H^3}}}{{12}} + \frac{1}{2}\int_0^H {Fy(H - y)\,\textrm{d}y} } \right) = 0,\end{equation}

References

Alaminos-Quesada, J., Coenen, W., Gutiérrez-Montes, C. & Sánchez, A. 2022 Buoyancy-modulated Lagrangian drift in wavy-walled vertical channels as a model problem to understand drug dispersion in the spinal canal. J. Fluid Mech. 949, A48. doi:10.1017/jfm.2022.799CrossRefGoogle Scholar