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Pregled bibliografske jedinice broj: 813729

Asymptotic approach to the generalized Brinkman's equation with pressure-dependent viscosity and drag coefficient


Pažanin, Igor; Pereira, Marcone, Suarez-Grau, Francisco Javier
Asymptotic approach to the generalized Brinkman's equation with pressure-dependent viscosity and drag coefficient // Journal of Applied Fluid Mechanics, 9 (2016), 6; 3101-3107 (međunarodna recenzija, članak, znanstveni)


Naslov
Asymptotic approach to the generalized Brinkman's equation with pressure-dependent viscosity and drag coefficient

Autori
Pažanin, Igor ; Pereira, Marcone, Suarez-Grau, Francisco Javier

Izvornik
Journal of Applied Fluid Mechanics (1735-3572) 9 (2016), 6; 3101-3107

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

Ključne riječi
Brinkman's equation ; pressure-dependent viscosity ; pressure-dependent drag coefficient ; transformed pressure ; asymptotic analysis

Sažetak
In this paper we investigate the fluid flow through a thin (or long) channel filled with a fluid saturated porous medium. We are motivated by some important applications of the porous medium flow in which the viscosity of fluids can change significantly with pressure. In view of that, we consider the generalized Brinkman's equation which takes into account the exponential dependence of the viscosity and the drag coefficient on the pressure. We propose an approach using the concept of the transformed pressure combined with the asymptotic analysis with respect to the thickness of the channel. As a result, we derive the asymptotic solution in the explicit form and compare it with the solution of the standard Brinkman's model with constant viscosity. To our knowledge, such analysis cannot be found in the existing literature and, thus, we believe that the provided result could improve the known engineering practice.

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

Autor s matičnim brojem:
Igor Pažanin, (267385)

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