Open AccessMathematical modelling of two layer shallow water flow with incline and uneven bottom
Author(s) -
Ismi Rizqa Lina,
Ummu Habibah,
Wuryansari Muharini Kusumawinahyu
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1563/1/012019
Subject(s) - momentum (technical analysis) , mechanics , flow (mathematics) , layer (electronics) , gravity current , physics , geology , mathematics , classical mechanics , materials science , internal wave , finance , economics , composite material
This study aims to construct mathematical model of two layer shallow water flow based on physical phenomenon. The proposed model is with attention to incline and uneven bottom, usually is chosen as function of space b ( x ). The result is the governing equation of each layer consist of mass continuity and momentum equations. The layers of the model are determined by the density of the fluid. The first layer is water exposed to sunshine which the temperature is higher than the second layer. The difference of density between the first and the second layer results the difference of gravity force which in the second layer we use reduced gravity force (gravity force decreases due to density ratio).