Determination of the probabilistic content of organic fertilizer fractions after exposure to arch-destroying and crushing agrotechnological devices

Abstract

Abstract Achieving stable and uniform dosing of organic fertilizers during local application necessitates the crushing of large lumps to a specific size range. The process of breaking down these lumps follows a random distribution. By leveraging the integral function of the normal distribution of random variables intertwined with principles of probability theory, equations are formulated to ascertain the distribution of lump sizes within organic fertilizers. Furthermore, these equations enable the calculation of the likelihood of obtaining lumps of specified sizes post the interaction of the vault-breaker-shredder’s fingers with counter-cutting ribs on the fertilizer. This analytical approach provides a systematic method to optimize the sizing and distribution of organic fertilizer particles for enhanced application efficiency and effectiveness.