Effect of Physical Properties of Porous Media on Water Movement.

摘要

Theoretical and experimental work was conducted to determine the effect of various physical properties of porous media on permeability. The theoretical work involved obtaining a solution for a linearized but complete form of the Navier Stokes equation for flow around a shpere in a rectangular array of spheres. The linearization involved making Oseen's approximation for the convective acceleration terms. The Galerkin method was used and the solution was valid up to a Reynolds number of about 10. The experimental and analytical work showed that the Darcy equation could be used over the entire range of Reynolds numbers as long as it is realized that in the so-called non-Darcy range the coefficient of permeability is dependent on Reynolds number. Experimental data are given for the permeability of various porous materials as a function of Reynolds number with porosity as a parameter. (Author)