Pregled bibliografske jedinice broj: 699551
Brinkman's law for polymer fluids
Brinkman's law for polymer fluids // 8th Conference on Applied Mathematics and Scientific Computing (ApplMath13)
Šibenik, Hrvatska, 2013. str. 30-30 (predavanje, međunarodna recenzija, neobjavljeni rad, znanstveni)
CROSBI ID: 699551 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
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
8th Conference on Applied Mathematics and Scientific Computing (ApplMath13)
Mjesto i datum
Šibenik, Hrvatska, 10.06.2013. - 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
Projekti:
MZOS-135-0372787-2819 - Matematički modeli u mehanici fluida (Ivanković, Božidar, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Fakultet prometnih znanosti, Zagreb
