Umudike Journal of Engineering and Technology

Michael Okpara University of Agriculture, Umudike


PREDICTION AND OPTIMISATION OF THE THROUGHPUT CAPACITY OF A MULTIGRAIN CLEANING MACHINE USING BUCKINGHAM Π THEOREM

Nwachukwu, C.
Department of Agricultural and and Bioresources Engineering, Michael Okpara University of Agriculture, Umudike, P.M.B 7267 Umuahia, Abia State, Nigeria

Eke, A. B.
Department of Agricultural and and Bioresources Engineering, Michael Okpara University of Agriculture, Umudike, P.M.B 7267 Umuahia, Abia State, Nigeria

Ndukwu, M. C.
Department of Agricultural and and Bioresources Engineering, Michael Okpara University of Agriculture, Umudike, P.M.B 7267 Umuahia, Abia State, Nigeria



ABSTRACT

The present study developed predictive models for the throughput capacity of a multi-grain cleaning machine using dimensional analysis based on the Buckingham π theorem. The study also combined regression analysis and response surface methodology to determine the optimum value of the throughput capacity under variable operating conditions, with the determined values having a prediction error of less than 1% compared to the measured values. Residual prediction errors were small, ranging from 0.81 to 8.86 kg/hr, which is less than 1% of throughput values. Optimisation analysis showed that feed rate and oscillation frequency were the main parameters that affect the throughput. The optimum throughput values predicted lie at feed rates of 1250 and 1300 kg/hr and oscillation frequencies of 15 and17 Hz, and a moisture content of 10%. This optimal region was determined using the desirability function in the response surface with a value close to 1.0. Integrating moisture content into the model had a secondary but statistically significant effect (p .


Keywords: Buckingham theorem, Grain separation, Throughput capacity optimisation, Dimensional analysis and regression, Moisture content effects


https://doi.org/10.33922/j.ujet_v12i1_5
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Published
Saturday, February 21, 2026

Issue
Vol. 12, No. 1, March 2026

Article Section
GENERAL

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