Abstract
A more developed differential equation of penetration of liquids into porous bodies has been derived, and the solution has been obtained on some reasonable assumptions for simplification. The validity of the solution was also discussed by comparing with the experimental results:
The rigid solution of penetration of liquids into porous bodies was given as
t=η⋅T2⋅h∞/Cs⋅P⋅Rp2⋅p⋅g∞σn=2 1/n(h/h∞)n,
and when n=2, the approximate solution was
h=2/T(Cs⋅p⋅γ⋅cosθ∞/η⋅Rp)1/2⋅t1/2,
where h and t; height of liquid penetrated at time t, η, γ and ρ; viscosity, surface tension and density of liquid, respectively, Rp; hydraulic radius, T; tortuosity, Cs; shape factor ofvoids, p; porosity, θ∞; equilibrium contact angle of liquid against solid, h∞; equals to 2⋅γ⋅cosθ∞/Rp⋅ρ⋅g.
From the comparison of theoretical considerations with experimental results it was confirmed that the first rigid solution might be available to the entire range of penetration of liquids into porous bodies and the second approximate solution was only available to the early stage of the penetration process.
