Application of the Elovich equation to the kinetics of occlusion. Part 1.—Homogeneous microporosity

Abstract

Some properties of the equations for the kinetics of occlusion, obtained by integrating Fick's equation, are examined. The plot of the reciprocal of the rate z=(dv_t/dt)^–1 against the time t is sigmoid and has an inflexion point at t=t_p. When t does not differ greatly from t_p the kinetics are approximated by an Elovich equation v_t=A+(1/b)ln(t/t_p+t_r) where A, b and t_r are constants independent of the diffusion coefficient and length of the diffusion path and determined by the geometry of the particles.