Cumulative weight fraction

Size Recovery and Yield Centiifuges have been apphed to classify polydispersed fine particles. The size distribution of the paiticles is quantified by the cumulative weight fraction F less than a given particle size d for both the feed and the centrate streams. It is measured by a particle size counter which operates based on piinciples such as sedimentation or optical scatteiing. 

Fries19 studied the vaporization behavior of 85% dense NbC hollow cylinders from 2260 to 2940 K using Langmuir s method. Table 3.7 summarizes Fries data. He found that the cumulative weight fraction loss (W) was well correlated with the average sample composition by the equation... 

FIGURE 10.8 Cumulative weight fraction undersize versusparticlesize... 

Calculate solids mass fractions in each stream. On Fig. 10.10, draw a vertical line through the abscissa that corresponds to the screen size, that is, 600 gm. This line will intersect each of the three cumulative-weight-fraction curves. The ordinate corresponding to each intersection gives the mass fraction of total solids actually in that stream which would be in the overflow stream if the screen were instead perfectly effective. Thus the mass fraction in the feed xF is found to be 0.28, the fraction in the overflow x0 is found to be 0.77, and the fraction in the underflow xu is found to be 0.055. 

FIGURE 10.10 Cumulative weight fraction oversize versus particle size (Example 10.10). 

Particulates discharged from an operation consist of a size distribution ranging anywhere from extremely small particles (less than 1 pm) to very large particles (greater than 100 pm). Particle size distributions are usually represented by a cumulative weight fraction curve in which the fraction of particles less than or greater than a certain size is plotted against the dimension of the particle. 

Combined or cumulative weight fraction Ix of all polymer molecules having degrees of polymerization up to and including x is obtained by integrating Eq. (5.73) this yields... 

The cumulative weight fraction of all species up to length x, which is the most convenient function for comparison with an experimental fractionation will be... 

The cumulative weight fraction less than 100 pm then can be computed from the weighi distribution function... 

Figure 1 [.3-12 indicates the cumulative weight fraction of crystals less than 100 pm as a function of fines cut size Z and the fines flow index R. The sensitivity of W L < 100 pm) to If is pronounced and (he larger the fines out size tha more dramatic the change. Table 11.3-10 summarizes the results of lines removal computations. 

Fig. 12 Variation of the heat of fusion of the membrane AHf(mem)> FEP component in the membrane AHf(fep), and inherent value AHf(inh) with the cumulative weight fraction of acid group and water (1 - Wx) [166]...

Y Cumulative weight fraction xmdersize, soKds yield in Equation 10.125 (M / UT)... 

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