Packing efficiency defined

Packing efficiency is defined as the percent of the total volume of a solid occupied by (spherical) atoms. The formula is... 

Solv=MeOH, EtOH and PrOH), and l,4-bis(4-pyridyl-butadiyne) (bpb, n= 0.5, Solv=MeOH). Like the btr derivative, compressed [FeN6] pseudo-octahedral sites define the knots of the square- or rhombus-shaped windows, which constitute the layered grid structure of the three compounds. Stacking of these layers in the crystal defines their most important structural differences, which are determined by the ligand size and crystal packing efficiency. In principle, the 2D grids are organised in a fashion similar to that described for the [Fe(btr)2(NCX)2]-H20 system the parallel layers are alternated so that the iron atoms of one layer lie vertically above and below the centres of the squares formed by the iron atoms of the adjacent layers. 

Z the diffusion parameter defined in Eq. (8.36), dimensionless a packing density defined as the volume of fiber per unit volume of filter bed, dimensionless rj collection efficiency, dimensionless... 

Based on the definition of density, two new terms are defined. Porosity is defined as the proportion of a powder bed or compact that is occupied by pores and is a measure of the packing efficiency of a powder and relative density is the ratio of the measured bulk density and the true density ... 

Langhendries et al [5.74] analyzed the liquid phase catalytic oxidation of cyclohexane in a PBMR, using a simple tank-in-series approximate model for the PBMR. In their -reactor the liquid hydrocarbon was fed in the tubeside, where a packed bed of a zeolite supported iron-pthalocyanine catalysts was placed. The oxidant (aqueous butyl-hydroperoxide) was fed in the shellside from were it was extracted continuously to the tubeside by a microporous membrane. The simulation results show that the PBMR is more efficient than a co-feed PBR in terms of conversion but only at low space times (shorter reactors). A significant enhancement of the organic peroxide efficiency, defined as the amount of oxidant used for the conversion of cyclohexane to the total oxidant converted, was also observed for the PBMR. It was explained to be the result of the controlled addition of the peroxide, which gives low and nearly uniform concentration along the reactor length. 

For insulators, however, the integrals over filled bands can be carried out very efficiently using the "special points" of Baldereschi ° and Chadi and Cohenand cast in a more systematic form by Monkhorst and Pack °. This defines sets of points which are rational fractions of... 

Milewski has found that the packing efficiency, which is defined as the ratio of... 

The column length, as well as providing the required efficiency, is also defined by the D Arcy equation. The D Arcy equation describes the flow of a liquid through a packed bed in terms of the particle diameter, the pressure applied across the bed, the viscosity of the fluid and the linear velocity of the fluid. The D Arcy equation for an incompressible fluid is given as follows. 

Figure 9-63B. Capacity correlation of structured Intalox 2T. The capacity parameter is at the maximum efficient capacity (MEC) point defined by Rukovena and Koshy [151]. The MEC point is iowerthan thefiood point and iocated where the packing wili maintain its desired efficiency. Used by permission of Rukovena, E. and Koshy, T. D., private communication, and Ind. and Eng. Cham. Res. V. 32, No. 10 (1993) p. 2400 all rights reserved.

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