This article describes the imbibition process from a point source into a homogeneous semi-infinite porous material.
When body forces are negligible, the advance of the wetting front is driven by capillary pressure and resisted by viscous forces. With the assumption that the wetting front assumes a hemispherical shape, the analytical results show that the absorbed volume flow rate is approximately constant with respect to time, and that the radius of the wetting evolves in time as r ≈ t1/3. This cube-root law for the long-time dynamics is confirmed by experiments using a packed cell of glass microspheres with average diameter of 42 μm. This result complements the classical one-dimensional imbibition result where the imbibition length ≈ t1/2, and studies in axisymmetric porous cones with small opening angles where ≈ t1/4 at long times. (publisher abstract modified)
Downloads
Similar Publications
- The Cross-Reactivity of the Cannabinoid Analogs (delta-8-THC, delta-10-THC and CBD) and their metabolites in Urine of Six Commercially Available Homogeneous Immunoassays, Grant Report
- Haplotype Data for 23 Y-Chromosome Markers in Four U.S. Population Groups
- Toxicology testing in the USA: what the 2018 census of medical examiner and coroner offices tells us