Two-layer critical flow over a semi-circular obstruction

DOI10.1007/BF00128906zbMath0707.76100OpenAlexW2086318609WikidataQ56967961 ScholiaQ56967961MaRDI QIDQ919941

Lawrence K. Forbes

Publication date: 1989

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00128906

zbMATH Keywords

Newton's methodsemi-circular cylinderSteady, trans-critical flowtwo-flud system

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99)

Related Items (14)

Interfacial waves and hydraulic falls: Some applications to atmospheric flows in the lee of mountains ⋮ Free surface waves over a depression ⋮ Forced solitary waves and hydraulic falls in two-layer flows ⋮ Two-layer flows past a semicircular obstruction ⋮ Analysis and computation with stratified fluid models ⋮ Interfacial flow over a step ⋮ Atmospheric interfacial waves in the presence of two moving fluid layers ⋮ Nonlinear steady two-layer interfacial flow about a submerged point vortex ⋮ Two-layer hydraulic falls over an obstacle ⋮ Stability of hydraulic fall and sub-critical cnoidal waves in water flows over a bump ⋮ Solitary waves on water of finite depth with a surface or bottom shear layer ⋮ Internal capillary-gravity waves of a two-layer fluid with free surface over an obstruction—Forced extended KdV equation ⋮ THREE-LAYER FLUID FLOW OVER A SMALL OBSTRUCTION ON THE BOTTOM OF A CHANNEL ⋮ Fully non-linear two-layer flow over arbitrary topography

Cites Work

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• On the effects of nonlinearity in free-surface flow about a submerged point vortex
• Critical free-surfaces flow over a semi-circular obstruction
• Free-surface flow over a semicircular obstruction
• Analysis of free surface flows using isoparametric finite elements
• The downstream flow beyond an obstacle
• Maximal two-layer exchange through a contraction with barotropic net flow
• Maximal two-layer exchange over a sill and through the combination of a sill and contraction with barotropic flow
• Weir flows
• Free-surface flow over an obstruction in a channel
• Steady shallow flow over a spillway

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