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

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