A Lattice Boltzmann study of non-newtonian flow in digitally reconstructed porous domains

Psihogios, J; Kainourgiakis, ME; Yiotis, AG; Papaioannou, ATh; Stubos, AK

dc.contributor.author	Psihogios, J	en
dc.contributor.author	Kainourgiakis, ME	en
dc.contributor.author	Yiotis, AG	en
dc.contributor.author	Papaioannou, ATh	en
dc.contributor.author	Stubos, AK	en
dc.date.accessioned	2014-03-01T01:25:41Z
dc.date.available	2014-03-01T01:25:41Z
dc.date.issued	2007	en
dc.identifier.issn	0169-3913	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17724
dc.subject	Lattice-Boltzmann method	en
dc.subject	Non-Newtonian flow	en
dc.subject	Porous media permeability	en
dc.subject	Stochasticre construction	en
dc.subject.classification	Engineering, Chemical	en
dc.subject.other	Computer simulation	en
dc.subject.other	Flow velocity	en
dc.subject.other	Mechanical permeability	en
dc.subject.other	Porous materials	en
dc.subject.other	Rheology	en
dc.subject.other	Christopher-Middleman correlation	en
dc.subject.other	Lattice Boltzmann Method	en
dc.subject.other	Power-law fluids	en
dc.subject.other	Non Newtonian flow	en
dc.subject.other	Computer simulation	en
dc.subject.other	Flow velocity	en
dc.subject.other	Mechanical permeability	en
dc.subject.other	Non Newtonian flow	en
dc.subject.other	Porous materials	en
dc.subject.other	Rheology	en
dc.subject.other	computational fluid dynamics	en
dc.subject.other	fluid flow	en
dc.subject.other	modeling	en
dc.subject.other	non-Newtonian fluid	en
dc.subject.other	permeability	en
dc.subject.other	porous medium	en
dc.subject.other	power law	en
dc.subject.other	rheology	en
dc.title	A Lattice Boltzmann study of non-newtonian flow in digitally reconstructed porous domains	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s11242-007-9099-2	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s11242-007-9099-2	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	In the present study, the Lattice Boltzmann Method (LBM) is applied to simulate the flow of non-Newtonian shear-thinning fluids in three-dimensional digitally reconstructed porous domains. The non-Newtonian behavior is embedded in the LBM through a dynamical change of the local relaxation time. The relaxation time is related to the local shear rate in such a way that the power law rheology is recovered. The proposed LBM is applied to the study of power-law fluids in ordered sphere packings and stochastically reconstructed porous domains. A linear relation is found between the logarithm of the average velocity and the logarithm of the body force with a curve slope approximately equal to the inverse power-law index. The validity of the LBM for the flow of shear thinning fluids in porous media is also tested by comparing the average velocity with the well known semi-empirical Christopher-Middleman correlation. Good agreement is observed between the numerical results and the Christopher-Middleman correlation, indicating that the LBM combined with digital reconstruction constitutes a powerful tool for the study of non-Newtonian flow in porous media. © Springer Science+Business Media, Inc. 2007.	en
heal.publisher	SPRINGER	en
heal.journalName	Transport in Porous Media	en
dc.identifier.doi	10.1007/s11242-007-9099-2	en
dc.identifier.isi	ISI:000249952700008	en
dc.identifier.volume	70	en
dc.identifier.issue	2	en
dc.identifier.spage	279	en
dc.identifier.epage	292	en