Pregled bibliografske jedinice broj: 582404
On a free piston problem for Stokes and Navier- Stokes equations
On a free piston problem for Stokes and Navier- Stokes equations // Glasnik Matematicki, 47 (2012), 2; 381-400 doi:10.3336/gm.47.2.12 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 582404 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On a free piston problem for Stokes and Navier- Stokes equations
Autori
Muha, Boris ; Tutek, Zvonimir
Izvornik
Glasnik Matematicki (0017-095X) 47
(2012), 2;
381-400
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Navier-Stokes equations; free piston problem; fluid-rigid body interaction
Sažetak
Our goal is to model and analyze a stationary fluid flow through the junction of two pipes in the gravity field. Inside 'vertical' pipe there is a heavy piston which can freely move along the pipe. We are interested in the equilibrium position of the piston in dependence on geometry of junction. Fluid is modeled with the Navier- Stokes equations and the piston is modeled as a rigid body. We formulate corresponding boundary value problem and prove an existence result. The problem is nonlinear even in case of the Stokes equations for fluid flow ; we prove non-uniqueness of solutions and illustrate it with some numerical examples. Furthermore, derivation and analysis of the linearized problem are presented.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037-0693014-2765 - Matematička analiza kompozitnih i tankih struktura (Tutek, Zvonimir, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
