# Erratum to: The role of geometry in rough wall turbulent mass transfer

Erratum

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## 1 Erratum to: Heat Mass Transfer DOI 10.1007/s00231-013-1165-4

Due to a miscommunication, an unfortunate error was not corrected before the appearance of [1] in Heat and Mass Transfer. The error pertains to the ratio of rough to smooth wall mass transfer coefficient where α = (λ −

*k*_{ fR }/*k*_{ fS }, Eq. (19) in [1]. Indeed, the correct equation is$$\frac{k_{fR}}{k_{fS}} = \alpha + (1-\alpha) \frac{\beta}{\gamma} {\it Sc}^{-1/3} Re_d^{-1},$$

(1)

*w*)/(λ + 2*d*) and \(\beta = \frac{2 \pi \sqrt{3}}{9} \left(\frac{b}{{\it Sc}_T}\right)^{-1/3}\) are the fraction of the crest surface area and a constant related to the mass transfer through the mass transfer boundary layer, respectively.The equation above can be obtained by first establishing the relationship between decay coefficient and mass transfer coefficient for Dirichlet boundary conditions. Recall that the decay coefficients The behavior for Dirichlet boundary conditions (and the ratio Substitution of the model predictions for

*k*_{ R }and*k*_{ S }for Robin boundary conditions are given by (Eqs. 3, 4 in [1]):$$k_S = \frac{1}{U r_{hS}} \frac{k_w}{1+k_w / k_{fS}},$$

(2)

$$k_R = \frac{1}{U r_{hR}} \frac{k_w}{1+k_w / k_{fR}}.$$

(3)

*C*_{ W }= 0) can be obtained by taking the limit of \(k_w \rightarrow \infty,\) which results in$$k_S = \frac{k_{fS}}{U r_{hS}}, \quad \quad k_R = \frac{k_{fR}}{U r_{hR}}$$

(4)

*k*_{ fR }/*k*_{ fS }is therefore given by$$\frac{k_{fR}}{k_{fS}} = \frac{k_R}{k_S} \frac{r_{hR}}{r_{hS}}.$$

(5)

*k*_{ R }/*k*_{ S }, Eq. (18) in [1], immediately leads to (1).The conclusions remain the same as in [1]: (1) the ratio *k* _{ fR }/*k* _{ fS } is not a pure power law; and (2) at high *Sc* and *Re* _{ d }, the ratio is only dependent on the geometry of the wall surface.

## Reference

- 1.Sookhak Lari K, van Reeuwijk M, Maksimović C (2013) The role of geometry in rough wall turbulent mass transfer. Heat Mass TrGoogle Scholar

## Copyright information

© Springer-Verlag Berlin Heidelberg 2013