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Heat and Mass Transfer

, Volume 49, Issue 10, pp 1523–1523 | Cite as

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

  • Kaveh Sookhak LariEmail author
  • Maarten van Reeuwijk
  • Čedo Maksimović
Erratum
  • 605 Downloads

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 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)
where α = (λ − w)/(λ + 2d) 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 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)
The behavior for Dirichlet boundary conditions (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)
and the ratio k fR /k fS is therefore given by
$$\frac{k_{fR}}{k_{fS}} = \frac{k_R}{k_S} \frac{r_{hR}}{r_{hS}}.$$
(5)
Substitution of the model predictions for 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. 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

Authors and Affiliations

  • Kaveh Sookhak Lari
    • 1
    • 2
    • 3
    Email author
  • Maarten van Reeuwijk
    • 1
  • Čedo Maksimović
    • 1
  1. 1.Department of Civil and Environmental EngineeringImperial College LondonLondonUK
  2. 2.Centre for Environmental Risk Assessment and RemediationUniversity of South AustraliaSAAustralia
  3. 3.Land and Water Research DivisionCSIROWAAustralia

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