Vertical profiles bulk density

Using the vertical profile of v and Ua (estimated from the measured pressure drop profile as explained in Section IV,A), the authors evaluated the right-hand side of Eq. (74) for each 2-in. increment of the spout, assuming constant pba over this increment. This value, on substitution in Eq. (70) along with the measured total pressure drop for the increment, gave the pressure drop per foot due to the solids bulk density in the spout, from which the voidage profile was calculated. The results agreed well with those from method (a). 

Sediment accumulation determined by various profile analyses is calculated using sedimentation and bulk density of the wetland soil profile. The flux rate is calculated from the vertical accretion rate (R) and the bulk concentration of the material (Q) using the expression... 

The riser model uses vertical or horizontal slip factor correlations (depending on the riser orientation) to determine the differential velocity between the vapor and the solid phases. The slip calculation is critical for determining bulk density profiles, which govern the path dependence of cracking profiles. 

The pore wall consists of metal oxides. Its reactive part is consumed in proportion to depth because of metabolic activity within a biofilm. The biofilm separates the bulk solution from the pore wall. The horizontal biofilm concentration profiles on the left side of Figure 6 correspond to the center of each of the five boxes. (Concentration is on the vertical axis and biofilm thickness is on the horizontal axis.) Excess organic matter is assumed within the upper few centimeters. The arrows indicate net flux densities of various substances in and out of the biofilm. 

Figure 6, Profiles of the density as a fimction of z, the distance from the center of a parallel-walled slh. The vertical lines show the planes of solid that make up the pore. The density is shown for a conqjletely wet (part a) and a con letely dry (part b) surface. Both the fluid adsorbate and the solid adsorbent are made up of Lennard-Jones atoms with well-depth ratios % /% = 0.85 (part a) and 0.30 (part b). The simulations were performed under conditions such that each system was at bulk liquid-vapor coexistence for 0.7. From Ref [31], J. Stat. Phys.

Fig. 8 Schematic real-space model and normalized electron density profiles < p(z)>/pix> (where p is the bulk electron density of mercury) obtained from the fits of reflectivity data to a density-dependent model for n-octadecanethiol (bold line) and n-dodecanethiol (thin line). The upper and lower figures are aligned with each other. Vertical lines in the model mark the position of the three outermost surface layers of mercury, with the origin of z coinciding with the first mercury layer [89]. 

Figure 5 Density profiles for the binary hard sphere fee [100] crystal-melt interface plotted on a fine scale. The dashed, vertical line is the Gibbs dividing surface defined in Section 2.2. The dotted grid is commensurate with the lattice planes in the bulk crystal and is included to better visualize the expansion of the lattice constant in the interfacial region. (Reprinted by permission of the American Institute of Physics from Davidchack and Laird )...

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