Greener Journal of Science, Engineering and Technological Research, Vol. 6 (1), pp. 001-008, February 2016.

ISSN: 2276-7835

Research Paper

Manuscript Number: 110815153

(DOI http://doi.org/10.15580/GJSETR.2016.1.110815153)

 

A Mathematical Model for Predicting the Extrusion Efficiency of a Vertical Column Shaft Palm Oil Extrusion Machine using Dimensional Analysis

 

Okafor, Victor Chijioke¹, Ejesu, Princewill Kelechi², Chinweuba, Dennis Chukwunonye³* and Nwakuba, Reginald Nnaemeka⁴

 

¹Department of Agricultural and Bioresource Engineering, School of Engineering and Engineering Technology, Federal University of Technology, Owerri Imo state Nigeria.

²Department of Agricultural and Bioresource Engineering, School of Engineering and Engineering Technology, Federal University of Technology, Owerri Imo state Nigeria.

³Department of Agricultural and Bioresource Engineering, School of Engineering and Engineering Technology, Federal University of Technology, Owerri Imo state Nigeria.

⁴Department of Agricultural and Bioresource Engineering, School of Engineering and Engineering Technology, Federal University of Technology, Owerri Imo state Nigeria.

Abstract

This research is based on the development of a mathematical model for predicting the extrusion efficiency of a vertical column shaft palm oil extrusion machine using dimensional analysis based on the Buckingham theorem. An equation/algorithm for the extrusion efficiency of a vertical column shaft palm oil extrusion machine using the Buckingham theorem was generated and also the efficiencies obtained by the predicted equation was compared with that of the experimented efficiencies at different revolution speeds per minute (rpm). A high coefficient of determination of about 82.4% between the predicted and experimental values showed that the method is good. The model was validated with data obtained from an operational extrusion machine and there was no significant difference between the experimental extrusion efficiency and the predicted extrusion efficiency respectively at 5% degree of freedom.

 

Keywords: column, shaft, extrusion, oil, Buckingham, model. 

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