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Brinkman's law for polymer fluids


Fratrović, Tomislav; Marušić-Paloka, Eduard
Brinkman's law for polymer fluids // APPLIED MATHEMATICS AND SCIENTIFIC COMPUTING (ApplMath13)
Šibenik, Hrvatska, 2013. (predavanje, međunarodna recenzija, neobjavljeni rad, znanstveni)


Naslov
Brinkman's law for polymer fluids

Autori
Fratrović, Tomislav ; Marušić-Paloka, Eduard

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Skup
APPLIED MATHEMATICS AND SCIENTIFIC COMPUTING (ApplMath13)

Mjesto i datum
Šibenik, Hrvatska, 10-14.06.2013

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Polymer fluids; filtration; homogenization; Brinkman's law; drag force function; Gamma-convergence

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

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
135-0372787-2819 - Matematički modeli u mehanici fluida (Božidar Ivanković, )

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