Correction: Guérin, T., et al. On the Bound Wave Phase Lag. Fluids 2019, 4, 152

Thomas Guérin; Anouk de Bakker; Xavier Bertin

doi:10.3390/fluids5040210

In the published paper [1], a typographical error is present in Equations (10), (11) and (13). Indeed, the first

π

encountered in each integral of Equations (10) and (11) and in Equation (13) should be at the numerator. Equations (10) and (11) must then read:

\begin{matrix} \sqrt{\frac{2}{π X}} cos (X - \frac{π}{4}) (α_{1} + \int_{x_{l}}^{x} \sqrt{\frac{2 π}{X}} sin (X - \frac{π}{4}) \frac{1}{ρ g h_{x}} \frac{d^{2} S_{1}}{d x^{2}} d x) \end{matrix}

(1)

\begin{matrix} + & \sqrt{\frac{2}{π X}} sin (X - \frac{π}{4}) (β_{1} - \int_{x_{l}}^{x} \sqrt{\frac{2 π}{X}} cos (X - \frac{π}{4}) \frac{1}{ρ g h_{x}} \frac{d^{2} S_{1}}{d x^{2}} d x) = 0, \end{matrix}

(2)

while Equation (13) must read:

F_{{c, s}} = \sqrt{\frac{2 π}{X}} {cos, sin} (X - \frac{π}{4}) \frac{1}{ρ g h_{x}} \frac{d^{2} S_{1}}{d x^{2}} .

(3)

This typographical error does not affect the published results, since the correct expressions were used in the computations. We apologize for any inconvenience caused to readers by this error.

Reference

Guérin, T.; de Bakker, A.; Bertin, X. On the bound wave phase lag. Fluids 2019, 4, 152. [Google Scholar] [CrossRef]

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