A widely applicable rate equation for the penetration of liquids into porous bodies has been introduced, and the experiment of penetration of pure water and aqueous sulphuric acids into sintered porous bodies of glass powder has been carried out in order to confirm the validity of the equation:
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oindentand the solution of the above equation is
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\
oindentwhere
h∞ (the equilibrium penetration height of a liquid into a porous body)=1⁄ρ
g·{2γcosθ⁄
Re−3\sqrt2⁄4π
Re2(
Fx−
F0)},
Ce (the shape factor of capillary tubes)=
Te⁄32,
Te (the tortuosity of capillary tubes)=6(1−
p)·sinδ⁄π, and the other symbol marks are as follows:
Fx and
F0; the attractive forces acting between two powder particles determined by the neck size,
v,
h and
t; the velocity and the height of penetrating liquid at time
t,
p; the porosity of a porous body,
Re; the effective radius of capillary tube, η, γ and ρ; the viscosity, surface tension and density of a liquid, θ; the contact angle between solid and liquid,
g; a gravitational accelaration, δ; the variable of Slichter’s model (π⁄3≤δ≤π⁄2), respectively.
Introducing the correction term to the capillary force acting on the penetrating liquids, the above described rate equation and it’s solution are generally applicable to all the cases of penetration process of liquids into the sintered porous bodies with various porosities.
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