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Low-volume-fraction limit for polymer fluids (CROSBI ID 166116)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

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

Podaci o odgovornosti

Fratrović, Tomislav ; Marušić-Paloka, Eduard

engleski

Low-volume-fraction limit for polymer fluids

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.

polymer ; filtration ; low-volume fraction ; permeability function ; drag force function ; power-law

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Podaci o izdanju

373 (2)

2011.

399-409

objavljeno

0022-247X

1096-0813

10.1016/j.jmaa.2010.07.043

Povezanost rada

Matematika

Poveznice
Indeksiranost