An Alternative Method for Obtaining Distributions of Submicrometric Particles: Analysis Using Virtual Samples
Abstract
Some known methods allow to find the moments and the corresponding probabilities distribution functions. We show an alternative way to generate density funtions, using a transforming function (T-function) and the corresponding differential transforming equation (T-equation). This T-function can be defined from an experimental process, and would be obtained in laboratory measuring. It is obtained the mathematical equivalence of the known and usually used in gravimetric sedimentation process Svedberg-Oden´s equation and the differential T- equation. Some Tfunctions and the corresponding density functions, as well as their graphics for processes of second order, it is shown. Using a virtual sample of particles of well-known parameters and based on an optical measuring method, the experimental determination process of suspended in a liquid small particle distributions, is simulated. The density functions obtained using this alternative method show a satisfactory agreement in comparison with the functions of the corresponding virtual sample.
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