Approximate solution of gravity flow from a uniform channel over triangular bottom for large Froude number

DOI10.1016/0307-904X(91)90077-3zbMath0717.76022MaRDI QIDQ2638867

M. T. Kamel, Sarwat N. Hanna, Mina B. Abd-El-malek

Publication date: 1991

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

integral equationsideal fluidFroude numberbottom of an open channelHilbert solution of a mixed boundary value problemsemi-infinite trianglesteady free-surface flow

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Navier-Stokes equations (35Q30)

Related Items (8)

Flow in a waterfall with large Froude number ⋮ Approximate predictions of gravite flows over irregular topography for large Froude number ⋮ Potential flow over a submerged rectangular obstacle: Consequences for initiation of boulder motion ⋮ Super-critical free-surface flow over a trapezoidal obstacle ⋮ Free-surface, wave-free gravity flow of an inviscid, incompressible fluid over a topography: an inverse problem ⋮ Unnamed Item ⋮ Approximate solution of gravity-affected flow from planar sluice gate at high Froude number ⋮ Free surface flows over a successive obstacles with surface tension and gravity effects

Cites Work

• Symmetric supercritical free surface flow over a polygonal obstacle
• Linearized solution of a flow over a nonuniform bottom
• Hilbert's method for numerical solution of flow from a uniform channel over irregular bottom topographies
• Linearized solution of a flow over a ramp
• Approximate solution of a flow over a ramp for large Froude number
• Free-surface flow over a semicircular obstruction
• Perturbation methods and non-linear hyperbolic waves
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