Geodesic
The nappe profile of a free overfall
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 3 (1992) no. 2, pp. 131-140

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

The phenomenon of the free overfall at the sharp drop of a channel bed has been deeply investigated experimentally since the pioneering work of Rouse (1933). Its behaviour is well known at least in the usual case of a wide rectangular channel. However, no complete theoretical solution has yet been obtained. Assuming the steady flow to be two-dimensional, irrotational and frictionless, an analytical solution for the flow field is obtained accounting for the presence of two free boundaries. By applying the conservation laws we then derive an equation for the lower nappe profile which is found to fit the observed data satisfactorily. 
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     author = {Marchi, Enrico},
     title = {The nappe profile of a free overfall},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {131--140},
     publisher = {mathdoc},
     volume = {Ser. 9, 3},
     number = {2},
     year = {1992},
     zbl = {0757.76005},
     mrnumber = {MR1170212},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_1992_9_3_2_a7/}
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Marchi, Enrico. The nappe profile of a free overfall. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 3 (1992) no. 2, pp. 131-140. http://geodesic.mathdoc.fr/item/RLIN_1992_9_3_2_a7/