Correction: Microfluidics and Nanofluidics (2023) 27:85 https://doi.org/10.1007/s10404-023-02689-6


In this article the Eqs. (2), (3) and (4) were wrongly appeared. It should have been given as follows:

$$\begin{aligned} W_{p,I}^{(SR)} &= \left( 1 - p \right) \frac{ 1.92 + 0.0479 l }{1.932+l} \Bigg \lbrace 1 - \delta \,\, \biggl [ \left( 0.3 \times 0.675^{l} - 0.775^{\delta \left( 1- p\right) }\right) \\&\quad \left( 0.28 \times 0.65^{l} - 0.0653 ( p + l + 0.4)^{p - 1.012}\right) - 0.165 p -0.074 \biggr ] \Bigg \rbrace \end{aligned}$$
(2)
$$\begin{aligned} W_{p,II}^{(SR)}&=(p + 0.124)^{p^{6}} \left\{ - 0.0377 l + 1.27 \left( 1 - p^{2}\right) e^{p^{2}} - 0.143 \left[ l \left( 1 - p\right) - 0.334\right] e^{- l \left( 1 - p\right) } \right. \\&\quad \left. +0.217 \left( 1 - 0.417 l e^{- 0.0254 \delta } \right) ^{2} - 0.0377\right\} e^{- \frac{7.55 p^{2} +1.58 l}{\delta }} \end{aligned}$$
(3)
$$\begin{aligned} W_{p,III}^{(SR)} &=\left[ 1.285+\left( 0.195 +2.103 p^{10} \right) e^{\frac{(4.676 l - l^{2}) \left( 1 - 0.16 l\right) ^{2} - 0.151 \delta }{\delta \left( 1 - 0.16 l\right) ^{2}}} \right] \\&\quad e^{[- p \left( p + p^{0.308}\right) \left( 0.0419 - 0.0002089^{p} + p^{5} \right) - \frac{4.676 l}{\delta }]} \end{aligned}$$
(4)

The original article has been corrected.