Dear Yonseok Choi, You ...
Published by Katalin Kiss, Process engineer at Budapest Sewage Works Pte Ltd.
Dear Yonseok Choi,
You should introduce the hydraulic radius and/or hydraulic diameter to calculate the partial current instead of the full flow, where the water has free surface inside of the channel/pipe (e.g. Colebrook-White formula).
Here you can find a quite good description (see the part of the partially full pipe):
http://slideplayer.com/slide/6116180/
During the design it is important to hold the velocity around 1 m/s, because the friction loss is increase by velocity quadratically.