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| Titre: | A WAVELESS FREE SURFACE FLOW PAST A SUBMERGED TRIANGULAR OBSTACLE IN PRESENCE OF SURFACE TENSION |
| Auteur(s): | SEKHRI, HAKIMA
GUECHI, FAIROUZ
MEKIAS, HOCINE |
| Mots-clés: | potential flow
Weber number
surface tension
nonlinear boundary condition |
| Date de publication: | 7-nov-2018 |
| Collection/Numéro: | Electronic Journal of Di erential Equations, Vol. 2016 (2016), No. 190, pp. 1{8.; |
| Résumé: | We consider the Free surface flows passing a submerged triangular obstacle at the bottom of a channel. The problem is characterized by a nonlinear boundary condition on the surface of unknown configuration. The analytical exact solutions for these problems are not known. Following Dias and Vanden Broeck [6], we computed numerically the solutions via a series truncation method. These solutions depend on two parameters: the Weber number α characterizing the strength of the surface tension and the angle β at the base characterizing the shape of the apex. Although free surface flows with surface tension admit capillary waves, it is found that solution exist only for values of the Weber number greater than α0for different configurations of the triangular obstacle. |
| URI/URL: | http://dspace.univ-setif.dz:8888/jspui/handle/123456789/2890 |
| ISSN: | 1072-6691 |
| Collection(s) : | Articles
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