On inviscid flow in a waterfall
- 1 February 1981
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 103 (-1) , 375-387
- https://doi.org/10.1017/s0022112081001389
Abstract
A nonlinear steady state solution is obtained for an incompressible, inviscid fluid in a waterfall under the action of gravity, using a special case of the system of differential equations of a recent theory of fluid sheets derived by a direct approach. This analytical solution has a simple form and offers some advantages over previous solutions of the problem either by asymptotic techniques or by numerical procedures. A comparison with experimental results is also indicated.Keywords
This publication has 9 references indexed in Scilit:
- On the transition to planing of a boatJournal of Fluid Mechanics, 1981
- Inviscid Solution for the Problem of Free OverfallJournal of Applied Mechanics, 1979
- Water Waves in a Nonhomogeneous Incompressible FluidJournal of Applied Mechanics, 1977
- A derivation of equations for wave propagation in water of variable depthJournal of Fluid Mechanics, 1976
- Directed fluid sheetsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1976
- Flows of thin streams with free boundariesJournal of Fluid Mechanics, 1973
- On two-dimensional inviscid flow in a waterfallJournal of Fluid Mechanics, 1965
- CALCULATION OF FLOW AT A FREE OVERFALL BY RELAXATION METHODS.Proceedings of the Institution of Civil Engineers, 1965
- Relaxation methods applied to engineering problems XII. Fluid motions characterized by 'free' stream-linesPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1946