A note on the free surface induced by a submerged source at infinite Froude number
- 1 October 1988
- journal article
- research article
- Published by Cambridge University Press (CUP) in The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
- Vol. 30 (2) , 147-156
- https://doi.org/10.1017/s0334270000006123
Abstract
The free surface due to a submerged source in a fluid of finite depth at infinite Froude number is reconsidered. A conformal transformation technique is used to formulate this problem as an integral equation for the free-surface angle. An elementary solution is found for the equation, which results in a closed form expression for the free-surface elevation. Comparison is made with previous numerical solutions.Keywords
This publication has 9 references indexed in Scilit:
- Infinite Froude number solutions to the problem of a submerged source or sinkThe Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1988
- Free-surface flow over a stepJournal of Fluid Mechanics, 1987
- Free surface flow due to a sinkJournal of Fluid Mechanics, 1987
- Two infinite-Froude-number cusped free-surface flows due to a submerged line source or sinkThe Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1986
- Cusp-like free-surface flows due to a submerged source or sink in the presence of a flat or sloping bottomThe Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1985
- A cusp-like free-surface flow due to a submerged source or sinkThe Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1984
- Divergent low-Froude-number series expansion of nonlinear free-surface flow problemsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1978
- Large amplitude surface wavesJournal of Fluid Mechanics, 1978
- The method of images in some problems of surface wavesProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1927