1 Erratum to: Meccanica (2015) 50:1747–1760 DOI 10.1007/s11012-015-0127-y

The paper contains a number of typos as explained below. The correct versions of Eqs. (44)–(51) in Section 3 are as follows:

$$\begin{aligned} u^{*}_{x}(y^{*},t^{*})= & {} \frac{6}{1+3B}\sum _{n=1}^{\infty } \frac{\sin \lambda _{n}\cos (\lambda _{n}y^{*})e^{-\displaystyle {\lambda _{n}^{2}t^{*}}}}{\lambda _{n}^{2}\left( \dfrac{2\lambda _{n}\varLambda ^{*}}{B}\cos ^{2} \lambda _{n}+\lambda _{n}+\sin \lambda _{n}\cos \lambda _{n}\right) }, \end{aligned}$$
(44)
$$\begin{aligned} u^{*}_{x}(y^{*},t^{*}) &= {} \dfrac{y^{*}+B}{1+2B}-\sum _{n=1}^{\infty } C_{n}\left[ \sin \left( \lambda _{n}y^{*}\right)\right. \\ &\quad\left. +\,\dfrac{B\lambda _{n}}{I}\cos \left( \lambda _{n}y^{*}\right) \right] e^{-\displaystyle {\lambda _{n}^{2}t^{*}}}, \end{aligned}$$
(45)
$$\begin{aligned} C_{n}= & {} \dfrac{\left( B^{2}\lambda _{n}^{2}+I^{2}\right) \sin \lambda _{n}}{\lambda _{n}^{2}B\left( I^{2}+2B+B^{2}\lambda _{n}^{2}+2B\varLambda ^{*}\lambda _{n}^{2}\right) },\quad I=1-\lambda _{n}^{2}\varLambda ^{*}, \end{aligned}$$
(46)
$$\begin{aligned} \tan \lambda _{n}= & {} \frac{2BI\lambda _{n}}{B^{2}\lambda _{n}^{2}-I^{2}}, \end{aligned}$$
(47)
$$\begin{aligned} u^{*}_{w1}(t^{*})= & {} \dfrac{B}{1+2B}-\sum _{n=1}^{\infty } C_{n}\dfrac{B\lambda _{n}}{I}e^{-\displaystyle {\lambda _{n}^{2}t^{*}}}, \end{aligned}$$
(48)
$$\begin{aligned} u^{*}_{w2}(t^{*})= & {} \dfrac{1+B}{1+2B}-\sum _{n=1}^{\infty } C_{n}\left( \sin \lambda _{n}+\dfrac{B\lambda _{n}}{I}\cos \lambda _{n}\right) e^{-\displaystyle {\lambda _{n}^{2}t^{*}}}, \end{aligned}$$
(49)
$$\begin{aligned} Q^{*}(t^{*})= & {} \dfrac{1}{2}-\sum _{n=1}^{\infty } C_{n}\dfrac{1}{\lambda _{n}}\left( 1-\cos \lambda _{n}+\dfrac{B\lambda _{n}}{I}\sin \lambda _{n}\right) e^{-\displaystyle {\lambda _{n}^{2}t^{*}}}, \end{aligned}$$
(50)
$$\begin{aligned} u^{*}_{x}(y^{*},t^{*})= & {} \sum _{n=1}^{\infty } C_{n}\left[ \sin \left( \lambda _{n}y^{*}\right) +\dfrac{B\lambda _{n}}{I}\cos \left( \lambda _{n}y^{*}\right) \right] e^{-\displaystyle {\lambda _{n}^{2}t^{*}}}. \end{aligned}$$
(51)

Finally, Eqs. (72), (74) and (78) in Section 4 should read:

$$\begin{aligned} L= & {} \dfrac{2\varLambda \nu }{R^{2}}\kappa \lambda _{n}\left[ Z_{1}^{2}(\lambda _{n})+\kappa Z_{1}^{2}(\kappa \lambda _{n})\right] +B\kappa \lambda _{n}\left[ Z_{0}^{2}(\lambda _{n})\nonumber \right. \\&\left. +\,Z_{1}^{2}(\lambda _{n}) -\kappa ^{2}\left( Z_{0}^{2}(\kappa \lambda _{n})+Z_{1}^{2}(\kappa \lambda _{n})\right) \right] \nonumber \\&-2B\kappa [Z_{0}(\lambda _{n})Z_{1}(\lambda _{n})-\kappa Z_{0}(\kappa \lambda _{n})Z_{1}(\kappa \lambda _{n})], \end{aligned}$$
(72)
$$\begin{aligned} \widetilde{D}_{n}= & {} \dfrac{D_{n}}{\varOmega \kappa R C}, \end{aligned}$$
(74)

and

$$\begin{aligned} u_{\theta }^{*}(r^{*},t^{*})= C\sum _{n=1}^{\infty }\widetilde{D}_{n}Z_{1}\left( \lambda _{n} r^{*}\right) e^{-\displaystyle {\lambda _{n}^{2}t^{*}}}. \end{aligned}$$
(78)

We would like to thank Professor Chiu-On Ng (University of Hong Kong) for pointing out some of the typos.