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ERRATA
May 15, 2009

Errata and Addendum for “Vertical Mixing in the Fully Developed Turbulent Layer of Sediment-Laden Open-Channel Flow” by E. A. Toorman

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Publication: Journal of Hydraulic Engineering
Volume 135, Issue 6
The factor α in the last term between brackets in Eqs. (30) - (31) should not be there, since it cancels out during the manipulations. This remained unnoticed because the value of α in the validation is 1. Hence, the corrected equations should read
vzϕ¯=(β0νtτtws2)ϕ¯z+β0τtϕ¯z(νtτt)=β0νt((1αβ0cμws2k)ϕ¯z+ϕ¯kkz)
(30)
and:
β0Sct=(1αβ0cμws2k+lnkzlnϕ¯z)1=(1αβ0cμws2k+lnklnϕ¯)1
(31)
In addition, it should be noticed that the concentration dependence of the turbulent Schmidt number is only apparent. The concentration in the turbophoresis term can be eliminated by the use of the flux balance, Eq. 1 in the original paper with the opposite sign convention for ws , as in the remainder of the manuscript. The eddy diffusivity is then replaced by the eddy viscosity divided by the turbulent Schmidt number and the turbulent Schmidt number is then obtained after rearrangement of the equation, resulting in
SctSc0=(1+β0νtwskkz)(1αβ0cμws2k)=(1+β0cματtwskz)(1αβ0cμws2k)
(33)

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 135Issue 6June 2009
Pages: 538

History

Received: Dec 11, 2008
Accepted: Dec 11, 2008
Published online: May 15, 2009
Published in print: Jun 2009

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Erik A. Toorman
Hydraulics Laboratory, Civil Engineering Dept., Katholieke Universiteit Leuven, Kasteelpark Arenberg 40, B-3001 Heverlee, Belgium. E-mail: [email protected]

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