Free surface flow into a horizontal slot with zero gravity

The two-dimensional free surface flow of a finite-depth fluid into a horizontal slot is considered. For this study, the effects of viscosity and gravity are ignored. A generalized Schwarz–Christoffel mapping is used to formulate the problem in terms of a linear integral equation, which is solved exa...

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Veröffentlicht in:Physics of fluids (1994) 2000-08, Vol.12 (8), p.2145-2147
1. Verfasser: McCue, S. W.
Format: Artikel
Sprache:eng
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Zusammenfassung:The two-dimensional free surface flow of a finite-depth fluid into a horizontal slot is considered. For this study, the effects of viscosity and gravity are ignored. A generalized Schwarz–Christoffel mapping is used to formulate the problem in terms of a linear integral equation, which is solved exactly with the use of a Fourier transform. The resulting free surface profile is given explicitly in closed form.
ISSN:1070-6631
1089-7666
DOI:10.1063/1.870461