Self-similar gravity currents with variable inflow revisited: plane currents

DOI10.1017/S0022112094003241zbMath0809.76006OpenAlexW2074149500MaRDI QIDQ4304699

Julio Gratton, Claudio L. M. Vigo

Publication date: 31 August 1994

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112094003241

zbMATH Keywords

discontinuous solutionspower lawshallow-water theoryhydraulic jumpplanar symmetryboundary condition of von Kármán typesubcritical continuous solutionssupercritical- subcritical transition

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

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Cites Work

• The approach to self-similarity of the solutions of the shallow-water equations representing gravity-current releases
• Self-similar solutions of the shallow-water equations representing gravity currents with variable inflow
• Self-similar viscous gravity currents: phase-plane formalism