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Sloshing waves in electrified fluid layers in an excited rectangular container |
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| Institution: | 1. School of Mathematics, University of East Anglia, Norwich, UK;2. Bureau Veritas, Marine & Offshore Division - Research Department, France;3. Lavrentyev Institute of Hydrodynamics, Novosobirsk, Russia;1. Center for Marine Research, Rudjer Boskovic Institute, Rovinj, Croatia;2. University of Dubrovnik, Institute for Marine and Coastal Research, Dubrovnik, Croatia;1. Amur State University after Solom-Aleichem, Birobidzhan 679015;2. Institute of Machine Science and Metallurgy, Far Eastern Branch Russian Academy of Sciences, Komsomol''sk-on-Amur 681005, Russian Federation;1. Instituto Hidrográfico, Rua das Trinas 49, 1296-093 Lisboa, Portugal;2. Departamento de Geologia, Faculdade de Ciências, Universidade de Lisboa, Edifício C6, Piso 3, Campo Grande, 1749-016 Lisboa, Portugal;3. Instituto Dom Luiz (IDL), Faculdade de Ciências, Universidade de Lisboa, Edifício C1, Piso 1, Campo Grande, 1749-016 Lisboa, Portugal;4. UMR 7266 LIENSs, CNRS, Université de La Rochelle, 2 rue Olympe de Gouges, 17000 La Rochelle, France;1. State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin, China;2. School of Civil Engineering, Tianjin University, Tianjin, China;3. China Electric Power Research Institute, Beijing 100192, China |
| Abstract: | This work aims to demonstrate the dynamical properties of the free interface separating two bounded layers of electrified Newtonian fluids inside a parametrically excited boxed basin. The mathematical model of the investigated problem is contacted with the linearized Navier–Stokes equation of viscous fluids and Maxwell equations together with the boundary conditions that are solved utilizing Laplace transform. Solutions of the governing equations in time domain are then numerically calculated by using Durbin's numerical inverse Laplace transform scheme. Graphical illustrations of the accomplished numerical results are provided to examine the influence of some selected parameters on the stability picture of the interfacial waves as well as the electric surface charge distribution. The numerical results proposed that the electric Euler number Eu, promotes the instability of the wave motion whatever the values of the frequency of oscillation and the destabilizing effect of Eu becomes weaker at larger values of the frequency; while a dual effect (in) stabilizing of the frequency of oscillations is reported whether the electric effects exist or not. This irregular influence of the frequency oscillation has also been monitored regarding to the forces exerted on the side wall of the container. |
| Keywords: | Sloshing waves Moving container Newtonian fluid Electric charge Laplace transform |
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