# A mathematical model for predicting the cracking efficiency of vertical-shaft centrifugal palm nut cracker

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## Description

A mathematical model for predicting the cracking efficiency of vertical-shaft centrifugal palm nut cracker is a well-researched topic, it is to be used as a guide or framework for your Academic Research.

## Abstract

A mathematical model for predicting the cracking efficiency of vertical-shaft palm nut cracker was presented using dimensional analysis based on the Buckingham’s π theorem. A high coefficient of determination of 94.3% between the predicted and measured values showed that the method is good. The model was validated with data from existing palm
nut cracker and there was no significant difference between the experimental cracking efficiency with the predicted values at 5% level of significance.

### Introduction

The modern crackers are of two types; the hammer
impact and the centrifugal impact types. The ham-
mer impact type breaks or cracks the nut on impact
when the hammer falls on it; while centrifugal impact
nut cracker uses centrifugal action to crack the nut
(Ndukwu, Asoegwu 2010). In the centrifugal im-
pact type; the nut is fed into the hopper and it falls
into the housing where a plate attached to the ro-
tor is rotating; which flings the nut on the cracking
ring; thereby breaking the nut. Cracking therefore is
an energy-involving process. According to some re-
searchers (Asoegwu 1995; Ndukwu 1998) shelling
or cracking has always posed a major problem in the
processing of biomaterial and they attributed this to
the shape and the brittleness of the kernel of the nut;
rendering them susceptible to damage during crack-
ing. Presently most of the research work is tailored
into the modelling of the variables which determine the
the functionality of processing machines. Most of these
models are specific and related to a particular design
of a machine. Some researchers (Degrimencioglu,
Srivastava 1996; Shefii et al. 1996; Mohammed
2002; Ndirika 2006) used the dimensional analysis
based on the Buckingham’s π theorem as veritable
instrument in establishing a prediction equation of
various systems. Therefore the present study is under-
taken to establish a mathematical model for predict-
ing the cracking efficiency of vertical-shaft centrifugal
palm nut cracker using the dimensional analysis.