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

Abstract

Ndukwu M.C., Asoegwu S.N., 2011. A mathematical model for predicting the cracking efficiency of verticalshaft centrifugal palm nut cracker. Res. Agr. Eng., 57: 110-115.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.

A study on the mathematical model for predicting the peel removal efficiency of a cassava peeler

“…When the mean of experimental and predicted values are compared using a multivariate analysis of variance (MANOVA) at a 5% level of significance, there was no statistical difference since the calculated value is less than the P-value. The obtained results are similar to that reported by Ndukwu and Asoegwu (2011), who observed no significance difference in the mean of the predicted and experimental values as compared using the least significance difference (LSD) at a 1% and 5% level of significance.…”

“…Having selected (ω), (F) and (λ) as the recurring sets, the exponents a, b and c are placed on them, respectively, so that when their product ω a F b λ c is divided by the remaining parameters t p , τ and t ct , the dimensionless group(s) π 1 , π 2 and π 3 are obtained as shown in Equation (3-5) (Ndirika 2006;Simonyan et al 2006;Asoegwu et al 2010;Ndukwu and Asoegwu 2011).…”

“…Researchers have utilised dimensional analyses based on Buckingham's pi theorem as a vital tool in developing the predicted equation for different systems which include developing a model for a screw-conveyor using a dimensional analysis (Degrimencioglu and Srivastava 1996); a mathematical model for predicting the capacity of a grain threshers (Ndirika 2006); microwave assisted extraction (MAE) modelling for total monomeric anthocyanins (TMA) (Farzaneh and Carvalho 2017); a model for predicting the cracking efficiency of a centrifugal palm nut cracker (Ndukwu and Asoegwu 2011); and the thermal deterioration of tomato paste (Ganje et al 2018). Despite other techniques for determining the dimensional analysis, notably the indicial technique, based on Buckingham's pi theorems, proves appropriate for obtaining results (Asonye et al 2018).…”

Development and Optimization of a Manual Fed Cassava Root Chipper for Household Cassava Processors

“…The machine capacity, chipping efficiency, throughput capacity and feeding rate were computed using the following Equations ( 1) -(4) (Ndukwu and Asoegwu, 2010;Ndukwu and Asoegwu, 2011;Akintunde andAkintunde, 2001 Igboayaka et al, 2018):…”

Practical model for estimating Taro Cocoyam volume based on its axial dimensions

“…It helps in the elimination of wastage in the design and results testing [5]. Several researchers have established many models which could find application in food and crop processing / process optimization as well as equipment development [6,7,8,9,10,11,12,5]. Thus, the main objective of this research was to establish a model that could be used in estimating Taro Cocoyam volume with respect to its axial dimensions for efficient development of storage system.…”