Pregled bibliografske jedinice broj: 426223
On the solvability of a problem of stationary fluid flow in a helical pipe
On the solvability of a problem of stationary fluid flow in a helical pipe // Mathematical Problems in Engineering, 2009 (2009), 57061-1 doi:10.1155/2009/957061 (međunarodna recenzija, članak, znanstveni)
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Naslov
On the solvability of a problem of stationary fluid flow in a helical pipe
Autori
Pažanin, Igor
Izvornik
Mathematical Problems in Engineering (1024-123X) 2009
(2009);
57061-1
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Navier-Stokes equations; pressure boundary condition; helical pipe
Sažetak
In this paper we consider a flow of incompressible Newtonian fluid through a pipe with helical shape. We suppose that the flow is governed by the prescribed pressure drop between pipe's ends. Such model has relevance to some important engineering applications. Under small data assumption, we prove the existence and uniqueness of the weak solution to the corresponding Navier-Stokes system with pressure boundary condition. The proof is based on the contraction method.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037-0372787-2797 - Asimptotičke metode u mehanici kontinuuma (Marušić-Paloka, Eduard, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Profili:
Igor Pažanin
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus