Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
238416 | Powder Technology | 2008 | 4 Pages |
No fundamental mechanism or model enables a theory on particle-size distribution to be built. Consequently, a wide variety of empirical models or equations have been proposed to characterize experimental particle-size distributions, such as the Rosin–Rammler model. Because the Nukiyama–Tanasawa equation uses four parameters to simulate differential distribution frequencies for particle-size diameters, the distribution function is not easy to apply in order to fit experimental data. In this paper, a modification of the Nukiyama–Tanasawa model with only two parameters has been proposed to fit the data on a particle-size distribution (PSD). The proposed normalized distribution function has been applied successfully to the PSD analysis (cork granulate and spray atomization droplets).
Graphical abstractA modification of the Nukiyama–Tanasawa equation with only two parameters has been proposed to fit the data on particle-size distribution (PSD). The proposed normalized distribution function has been applied successfully to the PSD analysis of experimental data.fN(D)=nDVSΓ(p+1n)(Γ(p+4n)Γ(p+3n))p+1(DDVS)pexp(-(Γ(p+4n)Γ(p+3n))n(DDVS)n)fM(D)=nDVSΓ(p+4n)(Γ(p+4n)Γ(p+3n))p+4(DDVS)p+3exp(-(Γ(p+4n)Γ(p+3n))n(DDVS)n)