### Journals Information

Civil Engineering and Architecture Vol. 7(6A), pp. 50 - 57
DOI: 10.13189/cea.2019.071406
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## Mathematical Modeling for Flood Mitigation: Effect of Bifurcation Angles in River Flowrates

Iskandar Shah Mohd Zawawi 1,*, Nur Lina Abdullah 2, Hazleen Aris 1, Badrul Amin Jaafar 2, Nur Arif Husaini Norwaza 2, Muhammad Haris Fadzillah Mohd Yunos 2
1 Institute of Informatics and Computing in Energy, Universiti Tenaga Nasional, Malaysia
2 Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA Negeri Sembilan, Malaysia

ABSTRACT

This paper investigates the river flowrate at two branches of bifurcated river. The mathematical model from the literature is formulated based on momentum principle and mass continuity to cope with river flowrate at different bifurcation angles. The hydraulic variables, geometric properties of trapezoidal cross-sectional river and other physical characteristics of bifurcated river are provided, which may be assumed to be given beforehand for practical applications. An example of river bifurcation problem is given by UTM Centre for Industrial and Applied Mathematics (UTM-CIAM), Universiti Teknologi Malaysia. Maple software is used to implement the proposed model equation and generate the results. The amount of bifurcated river flowrate with different bifurcation angles is determined, resulting in a reasonable discussion. It is shown that for specific bifurcation angles, the river flowrates after the bifurcated junction are less than the critical flowrate. Finally, the results of applied problem indicate that the right-angled river bifurcation would be preferable to mitigate flood.

KEYWORDS
Bifurcation, Flowrate, Momentum Principle

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Iskandar Shah Mohd Zawawi , Nur Lina Abdullah , Hazleen Aris , Badrul Amin Jaafar , Nur Arif Husaini Norwaza , Muhammad Haris Fadzillah Mohd Yunos , "Mathematical Modeling for Flood Mitigation: Effect of Bifurcation Angles in River Flowrates," Civil Engineering and Architecture, Vol. 7, No. 6A, pp. 50 - 57, 2019. DOI: 10.13189/cea.2019.071406.

(b). APA Format:
Iskandar Shah Mohd Zawawi , Nur Lina Abdullah , Hazleen Aris , Badrul Amin Jaafar , Nur Arif Husaini Norwaza , Muhammad Haris Fadzillah Mohd Yunos (2019). Mathematical Modeling for Flood Mitigation: Effect of Bifurcation Angles in River Flowrates. Civil Engineering and Architecture, 7(6A), 50 - 57. DOI: 10.13189/cea.2019.071406.