Sieve Analysis Representation according to Effective Opening

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Eighteen years ago, Fagerholt showed that particle size (a′) of sieving residue obtained in time t, is deter-mined as the average particle size of the fraction in continued sieving under same conditions up to time 3t.Extending the above statement, a new method of calibrating the sieve and representing the sieve analysis has been developed.In order to represent the sieve analysis, the sieving of glass spheres, with equivalent sphere diameter (D), were used for the particle boundary, Eq.(14)(instead of cube roots of particle volume (a′) by Fagerholt).Plotting the cumulative per cent on sieve (R), against the particle boundary (D) on the log-probability scale gave one line, i. e., particle size characteristic line, irrespective of the sets of sieve, Figs. 2-4, while the same sieve, irrespective of sample, gave another line, i. e., the effective opening line, Eq.(15).Experimental data gives the value of σg=1.012 (const.). For materials which differ in particle spheres, D50 for same sieves gives different values, but σg remaines constant. For glass spheres, D50(g) is approximately equal to the opening of sieve a.Fig. 9 shows a chart of effective opening lines for a set of sieves of the standard screen. Fig. 10 illustrates the method of estimation of sieve analysis by one set of sieves from the analysis by another set of sieves.Table 5 shows the table of effective opening of silk bolting cloth compared with the value of opening by Haltmeier.