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Pregled bibliografske jedinice broj: 483310

Low-volume-fraction limit for polymer fluids


Fratrović, Tomislav; Marušić-Paloka, Eduard
Low-volume-fraction limit for polymer fluids // Journal of mathematical analysis and applications, 373 (2011), 2; 399-409 doi:10.1016/j.jmaa.2010.07.043 (međunarodna recenzija, članak, znanstveni)


Naslov
Low-volume-fraction limit for polymer fluids

Autori
Fratrović, Tomislav ; Marušić-Paloka, Eduard

Izvornik
Journal of mathematical analysis and applications (0022-247X) 373 (2011), 2; 399-409

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

Ključne riječi
Polymer; filtration; low-volume fraction; permeability function; drag force function; power-law

Sažetak
We study a stationary, purely viscous polymer flow through a porous medium modelled as a periodic array of cells consisted of a fluid part and a solid one. Solid parts of the domain present impermeable obstacles, whose impact on fluid flow may be seen as a slowing factor through averaged quantities such as the permeability function, obtained by the homogenization process. In that way, the influence of the microstructure is implemented in the homogenized equations through a kind of nonlinear Darcy's law. Our goal is to find more explicitly the dependence of the permeability function on the size η of the obstacle in the unit cell and the so-called low-volume-fraction limit. Main difficulties arise from the nonlinear character of the power-law viscosity and the apparent weak convergence of the solutions involved.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
037-0372787-2797 - Asimptotičke metode u mehanici kontinuuma (Eduard Marušić-Paloka, )
135-0372787-2819 - Matematički modeli u mehanici fluida (Božidar Ivanković, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Fakultet prometnih znanosti, 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


Uključenost u ostale bibliografske baze podataka:


  • MathSciNet


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