An experimental investigation of a porous medium model with nonuniform pores

Abstract

3) it should be possible to calculate D/1,,,2 if / 3 were known.The value of # I , and hence D/l,,,2, at any axial position can be found by multiplying the slope of the plot of 7 ) versus 2 as shown in Figure 1 (reproduced from the paper by Kattan and Adler) by the velocity of the fluid in the reactor. 9 is defined as the total number of coalescences experienced by the fluid elements between the entrance and any axial position 2 divided by the total number of fluid elements. For example, the slope of the curve is 0 up to a distapce of about 0.15 in. from the inlet, then it rises very sharply and reaches a constant value. If one calculates D/lm2 from this constant value of slope, D/lm2 turns out to be 3.25 (velocity of fluid in the reactor is taken as 16 in./sec.). However, if one assumes a straight line relationship from the origin to the ordinate, at 2 = R. J. Pakula is with Parlte Davis and Company, Detroit, Michigan 48230.

Resin flow through fiber beds during composite manufacturing processes. Part I: Review of newtonian flow through fiber beds

“…Among these are studies by Payatakes, et al (35,36) (proper representation of the porous medium and solution of the Navier-Stokes equation), Sheffield and Metzner (37) (sinusoidal model coupled with a Poiseuille relationship for local pressure drop versus flow rate), Dullien (31) (representation of the porous medium by a system of capillaries made of segments whose diameters and distribution correspond to the actual pore size distribution of the medium, coupled with a Poiseuille analysis for each segment), and Azzam and Dullien (38) (more precise solution of the above system for the contracting-expanding effects). There have also been excess pressure drop (due to contractions and expansions) calculations (39,40) as well as statistical models of porous media (41,42). The most accurate approaches, however, remain the proper analytical and numerical solutions for each particular case, as we shall see in the following section.…”

Steady flow through porous media

“…According to Biggar and Nielsen (1962) mixing due to coupling of molecular diffusion and dispersion is important in field systems. Pakula and Greenkorn (1971) . (1959), Brigham et al (1961), and Nieman (1969).…”

Clogging of Nonuniform Filter Media

“…Experimentally, the function ij(A,x,t) may be determined using a capillary pressure curve, as shown by Pakula and Greenkorn (1971) and Learner and Lutz (1940). In this manner, the capillary model proposed here may be used to represent unconsolidated filter media.…”