Journal of Japan Society of Civil Engineers, Ser. B1 (Hydraulic Engineering)
Online ISSN : 2185-467X
ISSN-L : 2185-467X
Annual Journal of Hydraulic Engineering, JSCE, Vol.57
AN ANALYTICAL SOLUTION OF k-epsilon MODEL FOR UNIFORM AND NON-UNIFORM FLOWS
Manoj LANGHITakashi HOSODASubhasish DEY
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2013 Volume 69 Issue 4 Pages I_67-I_72

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Abstract
To study the turbulence characteristics of open channel flow, an analytical solution for the standard k-ε model is proposed. The primary concern of the research is to improve the velocity distribution in depth-averaged model that failed to reproduce well by Engelund model. Additionally, the effect of damping function on velocity distribution is checked by comparing the analytical result including and excluding the damping function in uniform flow. However, very negligible effect of the damping function on velocity distribution is observed; in spite that the model reproduced the flow properties reasonably. The validity of the model is also tested using numerical results of the finite difference scheme. In addition analysis is also performed for non-uniform flow. The analytical results of varied flows are checked in comparisons with uniform flow results. The analytical results showed that the nature of the distributions of hydraulic variables satisfied the conditions of (accelerated and decelerated) non-uniform flows.
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© 2013 Japan Society of Civil Engineers
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