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Nonlinear Brinkman-type law as a critical case in the polymer fluid filtration (CROSBI ID 217775)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Fratrović, Tomislav ; Marušić-Paloka, Eduard Nonlinear Brinkman-type law as a critical case in the polymer fluid filtration // Applicable analysis, 95 (2016), 3; 562-583. doi: 10.1080/00036811.2015.1022155

Podaci o odgovornosti

Fratrović, Tomislav ; Marušić-Paloka, Eduard

engleski

Nonlinear Brinkman-type law as a critical case in the polymer fluid filtration

Well known results on the filtration laws for the Newtonian fluids, obtained by the homogenization technique, served as a motivation to derive similar, analogous counterparts for the specific type of a non- Newtonian fluid. We studied a stationary filtration of the polymer fluid (Ostwald-de Waele model) through the periodic porous medium. Dimensions in the periodic domain are controlled by the two small parameters, one representing the period and the other controlling the ratio of a solid region and a fluid region of the porous medium. We found the specific critical size of the obstacles representing the impermeable part for which homogenization of the nonlinear Stokes flow results in the nonlinear Brinkman-type law by means of Gamma-convergence.

Gamma-convergence ; polymer fluid ; filtration ; Brinkman's law ; drag force function

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Podaci o izdanju

95 (3)

2016.

562-583

objavljeno

0003-6811

1563-504X

10.1080/00036811.2015.1022155

Povezanost rada

Matematika

Poveznice
Indeksiranost