Self-similar solutions of the shallow-water equations representing gravity currents with variable inflow
1986; Cambridge University Press; Volume: 169; Issue: -1 Linguagem: Inglês
10.1017/s0022112086000678
ISSN1469-7645
AutoresR. E. Grundy, James W. Rottmant,
Tópico(s)Ocean Waves and Remote Sensing
ResumoA phase-plane method is used to study the existence of similarity solutions of the two-dimensional and axisymmetric shallow-water equations representing gravity currents with volumes proportional to tα, where α ≥ 0 and t is the time after the flow is initiated. Only currents for which there is a balance between the inertia of the current and the driving buoyancy force are considered. It is found that similarity solutions exist for the two-dimensional problem for all α ≥ 0, with some restrictions on the condition at the current front. It is shown that no similarity solutions satisfying the boundary conditions on the axis of symmetry exist for the axisymmetric problem except when α = 0.
Referência(s)