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Pregled bibliografske jedinice broj: 937443

On the viscous flow through a long pipe with non- constant pressure boundary condition


Marušić-Paloka, Eduard; Pažanin, Igor
On the viscous flow through a long pipe with non- constant pressure boundary condition // Zeitschrift für Naturforschung. A, A journal of physical sciences, 73 (2018), 7; 639-644 (međunarodna recenzija, članak, znanstveni)


Naslov
On the viscous flow through a long pipe with non- constant pressure boundary condition

Autori
Marušić-Paloka, Eduard ; Pažanin, Igor

Izvornik
Zeitschrift für Naturforschung. A, A journal of physical sciences (0932-0784) 73 (2018), 7; 639-644

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

Ključne riječi
Incompressible fluid ; long pipe ; non-constant pressure boundary condition ; asymptotic approximation ; optimal pressure

Sažetak
We investigate the flow of a viscous incompressible fluid through a straight long pipe with circular cross-section. The flow is driven by the prescribed pressures at pipe's ends, where pressure $p_0$ on the pipe's entry is assumed to be non-constant. Using asymptotic analysis with respect to the small parameter (being the ratio between pipe's radius and its length), we replace the non-constant pressure boundary condition with the effective one governing the macroscopic flow. We also derive the optimal boundary pressure $p_0$ such that the fluid velocity through a pipe is maximal.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
HRZZ-IP-2013-11-3955 - Matematičko modeliranje i numeričke simulacije procesa u tankim i poroznim sredinama (Eduard Marušić-Paloka, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

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