Free-Surface Flow Under a Sluice Gate from Deep Water
Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 3
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Fully nonlinear solutions of free surface flow under a sluice gate are presented in this paper. The fluid upstream is assumed to be infinite in depth, and it flows under the gate forming a uniform stream far downstream. The problem is solved numerically by a boundary element method derived from the integral equation along the free surface. The numerical procedure is able to obtain solutions for upstream Froude number $F\geq 0.192$. A free surface with back flow near the edge of the gate is indicated for $F\leq 0.317$. As the limiting case, free surface flow with a stagnation point at the edge of the gate can be computed for $F=0.192$.
Classification :
76B07, 76M15.
@article{BMMS_2011_34_3_a16,
author = {L. H. Wiryanto and J. Widjaja and H. B. Supriyanto},
title = {Free-Surface {Flow} {Under} a {Sluice} {Gate} from {Deep} {Water}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2011},
volume = {34},
number = {3},
url = {http://geodesic.mathdoc.fr/item/BMMS_2011_34_3_a16/}
}
L. H. Wiryanto; J. Widjaja; H. B. Supriyanto. Free-Surface Flow Under a Sluice Gate from Deep Water. Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2011_34_3_a16/