Comptes Rendus
no. 7
Analytical determination of the reflection coefficient by the evanescent modes model during the wave–current–horizontal plate interaction
[Détermination analytique du coefficient de réflexion par le modèle des modes évanescents lors l'interaction houle–courant–plaque]
Meriem Errifaiy1  ; Smail Naasse1  ; Chakib Chahine1
1 Laboratory Physics of Polymers and Critical Phenomena, University Hassan II, Faculty of Science Ben M'sik Sidi Othman, P.B 7955 Casablanca, Morocco
Comptes Rendus. Mécanique, Volume 344 (2016) no. 7, pp. 479-486.

On présente dans ce travail une étude analytique de la détermination du coefficient de réflexion lors de l'interaction houle–courant–plaque. Cette étude a été faite dans le cadre de la théorie potentielle linéarisée moyennant le modèle des modes évanescents, en cherchant des solutions complexes de l'équation de dispersion qui ne soient, ni réelles pures, ni imaginaires pures. Pour valider le modèle établi, on l'a d'abord confronté aux résultats expérimentaux de V. Rey et J. Touboul, puis à ceux, issus de la modélisation, de H.-X. Lin et al. Ensuite, on a utilisé ce modèle pour étudier l'effet du courant sur le coefficient de réflexion.

Our work presents an analytical study of the determination of the reflection coefficient during the interaction between the regular wave current and a horizontal plate. This study was done using the linearized potential flow theory with the evanescent modes model, while searching for complex solutions to the dispersion equation that are neither real pure nor imaginary pure. To validate the established model, it has been confronted with the experimental results of V. Rey and J. Touboul, in a first phase, and then compared to those of the numerical study by H.-X. Lin et al. Then, this model was used to study the effect of current on the reflection coefficient.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2016.03.004
Keywords: Current, Regular wave, Evanescent modes, Reflection, Dispersion equation, Complex solutions
Mot clés : Courant, Houle, Modes évanescents, Réflexion, Équation de dispersion, Solutions complexes
Meriem Errifaiy 1 ; Smail Naasse 1 ; Chakib Chahine 1

1 Laboratory Physics of Polymers and Critical Phenomena, University Hassan II, Faculty of Science Ben M'sik Sidi Othman, P.B 7955 Casablanca, Morocco 
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Meriem Errifaiy; Smail Naasse; Chakib Chahine. Analytical determination of the reflection coefficient by the evanescent modes model during the wave–current–horizontal plate interaction. Comptes Rendus. Mécanique, Volume 344 (2016) no. 7, pp. 479-486. doi : 10.1016/j.crme.2016.03.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2016.03.004/

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