A. Adrover et M. Giona, HYDRODYNAMIC PROPERTIES OF FRACTALS - APPLICATION OF THE LATTICE BOLTZMANN-EQUATION TO TRANSVERSE FLOW PAST AN ARRAY OF FRACTAL OBJECTS, International journal of multiphase flow, 23(1), 1997, pp. 25-35
The numerical solution for slow flow past a square array of fractal ob
jects, such as a diffusion limited aggregate (DLA), is addressed by me
ans of the lattice Boltzmann equation (LEE), including a body force te
rm. While the calculated values of the seepage velocity are shown to b
e independent of the fractal. dimension of the objects, the drag force
exerted by the fluid is closely linked to fractal dimension. Copyrigh
t (C) 1996 Elsevier Science Ltd.