Constructions of a General Equation on Infiltration and the Examinations

Abstract

A model of rectangular parallelopiped skeleton having same radius straight-cylindrical pores crossing at right angles on three dimensions in itself is set up in Fig. 2-a, b, and based on it, the general equations on infiltration which were able to use for both infiltrations through one surface and through all surfaces of the skeleton were constructed. These general equations were confirmed by some experiments. The results obtained are as follows:
1) The general equation of infiltration through one surface of either lower or upper surface of the skeleton was,
V= P_r⋅S₁⋅(R⋅γ_LV⋅COSθ/18η_L)1/2⋅t^1/2
where, V: volume of the liquid infiltrated(cm³), P_r: porosity of the skeleton, S₁: infiltration area of either lower or upper surface of the skeleton (cm²), γ_LV:surface tension of the liquid(g/sec²), R: radius of the pore(cm), θ: contact angle between the skeleton and the liquid(degree), η_L:viscosity of the liquid(g/cm'sec), t: infiltrating time (sec).
2) The general equation of infiltration through all surfaces of the skeleton was,
V=P_r⋅S_A⋅(R⋅γ_LV⋅COSθ/18η_L)^1/2⋅t^1/2
where, S_A:2(S₁+S₂+S₃) [infiltration areas of all surfaces of the skeleton] (cm²).
3) According to the experiments which were carried out with the skeleton of sintered iron and the infiltrant of aqueous solution containing a surface active agent, it was found that above both equations held good at the first period of infiltration time.