Naslov
On a free piston problem for potential ideal fluid flow

Autori
Muha, Boris ; Tutek, Zvonimir

Izvornik
Mathematical methods in the applied sciences (0170-4214) 35 (2012), 14; 1721-1736

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
free piston problem; fluid–rigid body interaction; irrotational ideal fluid flow

Sažetak
Our goal was to model and analyze a stationary and evolutionary potential ideal fluid flow through the junction of two pipes in the gravity field. Inside the ‘vertical’ pipe, there is a heavy piston that can freely move along the pipe. In the stationary case, we are interested in the equilibrium position of the piston in dependence on the geometry of junction, and in the evolutionary case, we study motion of the piston also in dependence on geometry. We formulate corresponding initial and boundary value problems and prove the existence results. The problem is nonlinear because the domain is unknown. Furthermore, we study some qualitative properties of the solutions and compare them with the qualitative properties of a free piston problem for Newtonian fluid flow. All theoretical results are illustrated with numerical experiments.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA