On the motion of a pendulum with a cavity filled with a compressible fluid

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00578454" target="_blank" >RIV/67985840:_____/23:00578454 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1063/5.0143910" target="_blank" >https://doi.org/10.1063/5.0143910</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/5.0143910" target="_blank" >10.1063/5.0143910</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On the motion of a pendulum with a cavity filled with a compressible fluid

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

On the motion of a pendulum with a cavity filled with a compressible fluid

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA22-01591S" target="_blank" >GA22-01591S: Matematická teorie a numerická analýza rovnic vazkých newtonovských stlačitelných tekutin</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Mathematical Physics

ISSN

0022-2488

e-ISSN

1089-7658

Svazek periodika

64

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

21

Strana od-do

111501

Kód UT WoS článku

001097473500007

EID výsledku v databázi Scopus

2-s2.0-85176123436