Mathematical modeling of the flow division in V-shaped cross-sectional channel

• Published in: AIP Conference Proceedings
• Main Author: Harmizi P.N.S.; Zawawi I.S.M.
• Format: Conference paper
• Language: English
• Published: American Institute of Physics 2024
• Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85202602028&doi=10.1063%2f5.0224694&partnerID=40&md5=198af7f77324e23724edd43e3ed42f23

Dividing flow in open-channel is a great contributor to river and drainage management to reduce overflow during period of intense rainfall. The shape of the cross-sectional channel is a crucial feature in the design of the flood-control channel. In the present study, the mathematical model for V-shaped cross-sectional channel is derived to investigate the relationship between the flow rate ratio and various angles of the bifurcation. The general equation governing the division of open channel flow in V-shaped cross-sectional channels is formulated from the principles of momentum and continuity. The ideal geometric and hydraulic properties for V-shaped cross-sectional channels are identified. All the computations and analysis pertaining to the behavior of flow rate ratio are performed using Maple software. Conclusively, the flow rate ratio is lower than the critical flow rate ratio. Hence, it is evident that the presence of the V-shaped channel contributes in several bifurcation angles that effectively prevent the channel from overflowing, except in certain bifurcation angles. © 2024 Author(s).