The determination of the form of a probability density function (PDF3) of diameters for nodular particles by using a probability density function (PDF2), which form is empirically estimated from cross-sections of these nodules in a metallographic specimen, can be regarded as a special case of Wicksell's corpuscle problem (WCP). The estimation of the PDF3 for the nodular particles provides information about the kinetics of these particles nucleation, and so about the kinetics of their growth. This information is essential for building more accurate mathematical models of the alloy crystallization. In the paper there are presented two derivations of the methods used for the estimation of the PDF3 form. The first method bases on diameters received from a planar cross-section. The second one uses also data from the planar cross-section but not the diameters only chords. Both methods provide practical rules for the analysis of the empirical diameters’ and chord’s size distribution and allow to estimate the mean value of the external surface area of the particles.

JO - Archives of Foundry Engineering L1 - http://www.czasopisma.pan.pl/Content/103368/PDF/AFE+1_2018_06.pdf L2 - http://www.czasopisma.pan.pl/Content/103368 PY - 2018 IS - No 1 KW - Estimation of a diameter size distribution KW - Planimetric analysis KW - Linear analysis A1 - Gurgul, D. A1 - Burbelko, A. A1 - Wiktor, T. PB - The Katowice Branch of the Polish Academy of Sciences VL - vol.18 JF - Archives of Foundry Engineering DA - 2018.03.20 T1 - Analysis of Spherical Particles Size Distribution – Theoretical Basis UR - http://www.czasopisma.pan.pl/dlibra/docmetadata?id=103368 DOI - 10.24425/118807 ER -