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

Autori
Fratrović, Tomislav ; Marušić-Paloka, Eduard

Izvornik
Applicable analysis (0003-6811) 95 (2016), 3; 562-583

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

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

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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