Napredna pretraga

Pregled bibliografske jedinice broj: 810502

Asymptotic analysis of the fluid flow with a pressure-dependent viscosity in a system of thin pipes


Marušić-Paloka, Eduard; Pažanin, Igor
Asymptotic analysis of the fluid flow with a pressure-dependent viscosity in a system of thin pipes // Computational and applied mathematics, 37 (2018), 1; 297-305 (međunarodna recenzija, članak, znanstveni)


Naslov
Asymptotic analysis of the fluid flow with a pressure-dependent viscosity in a system of thin pipes

Autori
Marušić-Paloka, Eduard ; Pažanin, Igor

Izvornik
Computational and applied mathematics (0101-8205) 37 (2018), 1; 297-305

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

Ključne riječi
Pipe network ; pressure-dependent viscosity ; transformed pressure ; Kirchhoff's law ; asymptotic analysis

Sažetak
We consider the incompressible fluid with a pressure-dependent viscosity flowing through a multiple pipe system. The viscosity-pressure relation is given by the Barus law commonly used in the engineering applications. Assuming that the ratio between pipes thickness and its length is small, we propose a rigorous asymptotic approach based on the concept of the transformed pressure. As a result, we obtain new macroscopic model describing the effective behavior of the fluid in the system. In particular, the generalized version of the Kirchhoff's law is derived giving the explicit formula for the junction pressure. The error estimate for the asymptotic approximation is also provided. Mathematical analysis presented here can be applied to a general viscosity- pressure relation satisfied by other empiric laws.

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