Fractal imbibition in Koch's curve-like capillar tubes

Abstract

Fractal geometry eects in capillary imbibition process are studied. Capillary rise analysis in Koch's curve-like tubes were be carried out with iterations i = 0; 1; 2; 3; 4; 5. The behaviour was characterized in function of time, fractal geometry and height of capillary rise. An geometrical relationship for fractal dimension of  ow tortuosity (dr) in porous media is obtained. The analytical model of Lucas-Washburn-Cai to describe the capillary rise by spontaneus imbibition in tubes with deterministic fractal geometry is adjusted. The equilibrium height time as function of fractal dimension of  ow tortuosity in capillary tubes with tortuous path is also derived.