Dong Ping et al 2004 Chinese Phys. 13 434 doi:10.1088/1009-1963/13/4/003
Dong Ping1, Feng Shi-De1,2 and Zhao Ying2
Show affiliationsIn this paper we present a detailed computational study of an incompressible Newtonian fluid flow across a periodic array of two-dimensional cylinders which is a simplest non-trivial representation of a porous media. A two-dimensional Lattice Boltzmann Method is used to solve the governing Navier–Stokes equation taking into account of viscous dissipation effects and influence of nonlinear fluid drag. Both the flow fields and the Darcy–Forchheimer drag coefficient as a function of the solid volume fraction are calculated for a wide range of flow Reynolds numbers. The predictions were compared with the results from conventional numerical and empirical models for verification. Apart from confirming that inertial effects can cause a significant deviation from Darcy's law for large velocities the results also show that the characteristics of the vorticity field vary considerably as the Reynolds number increases, which will have major implications to the transport of passive particulate substances within the pores and their removal rate.
47.56.+r Flows through porous media
Issue 4 ( 1 April 2004)
Received 24 June 2003, in final form 9 August 2003
Dong Ping et al 2004 Chinese Phys. 13 434
E Loginova et al 2009 New J. Phys. 11 063046
Hiroyuki Kousaka and Kouichi Ono 2003 Plasma Sources Sci. Technol. 12 273
H-Y Nie et al 2007 J. Phys.: Conf. Ser. 61 869
M Dierick et al 2004 Meas. Sci. Technol. 15 1366
S X Hu et al 2005 J. Phys. B: At. Mol. Opt. Phys. 38 L35
Hansruedi Maurer et al 2000 Inverse Problems 16 1097
F. Hofmann et al 1997 Nucl. Fusion 37 681
Mirjana Božić and Martial Ducloy 2008 Phys. Educ. 43 165
Feng Tao et al 2006 Nanotechnology 17 1079