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On the motion of a pendulum with a cavity filled with a compressible fluid
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SYSNO ASEP 0578454 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On the motion of a pendulum with a cavity filled with a compressible fluid Author(s) Galdi, G. P. (US)
Mácha, Václav (MU-W) RID, SAI, ORCID
Nečasová, Šárka (MU-W) RID, SAI, ORCID
She, B. (CN)Article number 111501 Source Title Journal of Mathematical Physics. - : AIP Publishing - ISSN 0022-2488
Roč. 64, č. 11 (2023)Number of pages 21 s. Language eng - English Country US - United States Keywords compressible fluid ; physical pendulum Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA22-01591S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 001097473500007 EID SCOPUS 85176123436 DOI 10.1063/5.0143910 Annotation We study the motion of the coupled system, S , constituted by a physical pendulum, B , with an interior cavity entirely filled with a viscous, compressible fluid, F . The system is constrained to rotate about a horizontal axis. The presence of the fluid may strongly affect the motion of B . In fact, we prove that, under appropriate assumptions, the fluid acts as a damper, namely, S must eventually reach a rest-state. Such a state is characterized by a suitable time-independent density distribution of F and a corresponding equilibrium position of the center of mass of S . These results are proved in the very general class of weak solutions and do not require any restriction on the initial data, other than having a finite energy. We complement our findings with some numerical tests. The latter show, among other things, the interesting property that “large” compressibility favors the damping effect, since it drastically reduces the time that S takes to go to rest. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2024 Electronic address https://doi.org/10.1063/5.0143910
Number of the records: 1