Sloshing of Heterogeneous Liquid in Partially Filled Tanks: Example of a Vibration System without Compactness
Hilal Essaouini, Jalal Elbahaoui, Larbi Elbakkali, Pierre Capodanno
Journal of Advances in Mathematics and Computer Science · pp. 224–236 · Published 25 May 2015
10.9734/BJMCS/2015/17220Abstract
The effect of the density of the liquid on the sloshing in partially filled tanks is studied. The liquid is assumed to be almost-homogeneous (i.e. a liquid whose density in equilibrium is practically a linear function of the height, which differs very little from a constant). In this case the linearized Euler’s equation of the liquid is presented and analyzed, the relevant operators are studied. The Weyl’s criterion is used for computing the spectrum of the fundamental operator . We obtain nonclassically spectrum with continuous part filling an interval.
Cited by 3
A. Belahsen, H. Essaouini, A. Hamydy · International Review of Applied Sciences and Engineering · 2024
Bilal Benmasaoud, Hilal Essaouini, Ahmed Hamydy · MATEC Web of Conferences · 2022
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