University of Tehran/SpringerInternational Journal of Environmental Research1735-68656220120401A Study on the Derivation of a Mean Velocity Formula from Chiu’s Velocity
Formula and Bottom Shear Stress53754652310.22059/ijer.2012.523ENT.H. ChooDepartment of Civil engineering, Pusan National University, Jangjeon-dong, Geumjeong-gu,
Busan, 609-735, South KoreaS.J. MaengChungbuk National University, Jangjeon-dong, Geumjeong-gu, South KoreaH.C. YoonDepartment of Civil engineering, Pusan National University, Jangjeon-dong, Geumjeong-gu,
Busan, 609-735, South KoreaD.M. KimDepartment of Civil engineering, Pusan National University, Jangjeon-dong, Geumjeong-gu,
Busan, 609-735, South KoreaS.C. KimDepartment of Civil engineering, Pusan National University, Jangjeon-dong, Geumjeong-gu,
Busan, 609-735, South KoreaJournal Article20120304This study proposed a new discharge estimation method using a mean velocity formula derived
from Chiu’s 2D velocity formula of probabilistic entropy concept and the river bed shear stress of channel. In particular, we could calculate the mean velocity, which is hardly measurable in flooding natural rivers, in consideration of several factors reflecting basic hydraulic characteristics such as river bed slope, wetted perimeter, width, and water level that are easily obtainable from rivers. In order to test the proposed method, we used highly reliable flow rate data measured in the field and published in SCI theses, estimated entropy M from the results of the mean velocity formula and, at the same time, calculated the maximum velocity. In particular, we obtained φ(M ) expressing the overall equilibrium state of river through regression analysis between the maximum velocity and the mean velocity, and estimated the flow rate from the newly proposed
mean velocity formula. The relation between estimated and measured discharge was analyzed through the discrepancy ratio, and the result showed that the estimate value was quite close to the measured data.https://ijer.ut.ac.ir/article_523_b9bb8742ca19d7b3bea6d114c6a60a35.pdf