Dynamical Analysis of Impeller-type Rice Husker (Part 1)

Theoretical Equations and the Laws of Proportion for Grain-Impeller Dynamics

Abstract

General equations of the dynamics between a paddy grain and an impeller blade were expressed in terms of polar coordinates using complex numbers. Grain velocity, force and energy are computed from the dynamics equations for an arbitrary shape of a blade. The following laws of proportion were derived from the dynamics equations.
(1) The law of proportion in terms of rotating angular velocity ω: If the initial grain velocity is proportional to ω or equal to 0, the grain velocity is proportional to ω force and energy are proportional to ω².
(2) The law of proportion in terms of similarity ratio χ between similar blades with the rotating axis as the similarity center: If the initial grain velocity is proportional to χ or equal to 0, the grain velocity and force are proportional to χ, while energy is proportional to χ².