caa a22 4500 463162714 CHVBK 20180406164752.0 cr unu---uuuuu 170326e20071101xx s 000 0 eng 10.1007/s11242-007-9099-2 doi (NATIONALLICENCE)springer-10.1007/s11242-007-9099-2 A Lattice Boltzmann study of non-newtonian flow in digitally reconstructed porous domains [Elektronische Daten] [J. Psihogios, M. Kainourgiakis, A. Yiotis, A. Papaioannou, A. Stubos] 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 Non-Newtonian flow nationallicence Lattice-Boltzmann method nationallicence Stochastic reconstruction nationallicence Porous media permeability nationallicence Psihogios J. National Center of Scientific Research ‘Demokritos', Ag. Paraskevi Attikis, 15310, Athens, Greece aut Kainourgiakis M. National Center of Scientific Research ‘Demokritos', Ag. Paraskevi Attikis, 15310, Athens, Greece aut Yiotis A. National Center of Scientific Research ‘Demokritos', Ag. Paraskevi Attikis, 15310, Athens, Greece aut Papaioannou A. Department of Chemical Engineering, National Technical University of Athens, Iroon Polytechneiou Str. 9, 15780, Athens, Greece aut Stubos A. National Center of Scientific Research ‘Demokritos', Ag. Paraskevi Attikis, 15310, Athens, Greece aut Transport in Porous Media Springer Netherlands 70/2(2007-11-01), 279-292 0169-3913 70:2<279 2007 70 11242 https://doi.org/10.1007/s11242-007-9099-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11242-007-9099-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Psihogios J. National Center of Scientific Research ‘Demokritos', Ag. Paraskevi Attikis, 15310, Athens, Greece aut NATIONALLICENCE 700 1- Kainourgiakis M. National Center of Scientific Research ‘Demokritos', Ag. Paraskevi Attikis, 15310, Athens, Greece aut NATIONALLICENCE 700 1- Yiotis A. National Center of Scientific Research ‘Demokritos', Ag. Paraskevi Attikis, 15310, Athens, Greece aut NATIONALLICENCE 700 1- Papaioannou A. Department of Chemical Engineering, National Technical University of Athens, Iroon Polytechneiou Str. 9, 15780, Athens, Greece aut NATIONALLICENCE 700 1- Stubos A. National Center of Scientific Research ‘Demokritos', Ag. Paraskevi Attikis, 15310, Athens, Greece aut NATIONALLICENCE 773 0- Transport in Porous Media Springer Netherlands 70/2(2007-11-01), 279-292 0169-3913 70:2<279 2007 70 11242 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer