On the Slow Manifold Characteristics of Capillary Suction Apparatus Dynamics

Liquid Saturation Profile in Capillary Suction Time Filter Paper

“…Later, Leu 22 refined the Nuygen's model (for CSA) and proposed the first model for RCSA. With extension of the results of the above works, later investigations discussed the filtrate flow in both the filter cake and the filter paper. ,,− According to Meeten and Smeulders, all modeling works before Lee and Hsu 30 assumed a saturated filter paper in the CSA test. These models treat the liquid invasion as a displacement process, while the porosity, capillary suction pressure, and hydraulic permeability of the filter paper are assumed to be constant (generally referred to as the piston-like approach).…”

“…The water permeability as well as the capillary suction pressure also varies according to the water saturation profile. By approximating the saturation profile as a power-law-type function, Lee et al − , arrived at the CST correlation by assuming that a nonlinear diffusion equation (generally referred to as the diffusion-like approach) controls the fluid flow.…”