Essaouini, Hilal and Elbahaoui, Jalal and Elbakkali, Larbi and Capodanno, Pierre (2015) Sloshing of Heterogeneous Liquid in Partially Filled Tanks: Example of a Vibration System without Compactness. British Journal of Mathematics & Computer Science, 9 (3). pp. 224-236. ISSN 22310851
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Abstract
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.
Item Type: | Article |
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Subjects: | Euro Archives > Mathematical Science |
Depositing User: | Managing Editor |
Date Deposited: | 16 Jun 2023 03:24 |
Last Modified: | 20 Oct 2023 03:37 |
URI: | http://publish7promo.com/id/eprint/2721 |