Development of Mass – Size Particle Reduction Operations Postulates Using Empirical – Analytical Approaches

Abstract

Aims: This paper attempts to utilize empirical and analytical approaches to develop equations and postulates for energy and power requirement in mass – size reduction operations. Study Design:  The study is based on a combination of analytical approach and empirically  existing energy model obtained in a study of milling palm nut shells into fragments using static nut cracker. Place and Duration of Study: The empirical model used in this study was developed in 2014 in the University of Benin, Nigeria and the analytical approach employed for the study to obtain mass – size particle reduction models and postulates were achieved in September, 2020 in the University of Uyo, Nigeria. Methodology: In this task, the crushing efficiency, mechanical efficiency, energy and power requirements were considered based on fundamental principles coupled with the usage of the empirically developed minimum energy model for mass –size reduction operations. Results: The Equations (59), (60), (61), (62) and (63) were developed. Equations (59), (60) and (62) are in the form of bond’s energy equation but may differ in the value of the constant. This may be because the properties (density, thickness or diameter of the particle) of material and machine efficiency might easily be obtained and used to evaluate; and likely achieved an improved assessment of mass – size reduction of a given material. Conclusion: Further analysis has led to the development of postulates presented in the conclusion part of this paper which may govern the mass – size reduction operations of particle.