Mass Transport in Porous Media
By:David Roy Scotter
Published on 1969 by
Wind gustiness causes oscillating air movement in soil that may affect the transport of water vapor through the soil near the surface. A similarity analysis showed that in geometrically similar porous media, at appropriately scaled positions and times, the dispersion due to oscillating flow would depend uniquely on the microscopic Peclet number and the dimensionless amplitude of the oscillating. Studies of transient oxygen dispersion in nitrogen in random packing of spheres verified the similarity analysis and indicated that, at the amplitudes and frequencies studied, diffusion theory adequately described the dispersion. This meant that a dimensionless dispersivity, defined as the apparent diffusivity divided by the molecular diffusivity of the fluid pair, could be found for any Peclet number and dimensionless amplitude. The experimental data, and the equations for gas flow in soil due to pressure fluctuations at the surface, were used in a numerical analysis to study the effect of the depth of porous material, particle size, and the wave length and frequency of the pressure oscillations on the steady state transport of water vapor through soils. Significantly greater fluxes than those due to molecular diffusion alone were predicted for many situation. Particle diameter was found to be a most important factor, the increase due to wind being approximately proportional to the cube of the particle size in geometrically similar media. Study of the second problem was prompted by ...
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