Development of a Mathematical Model for Palm Fruit Digester Design: Integrating Dimensional Analysis and Process Optimization

Abstract

This investigation delineates a thorough methodology for the formulation of a parametric model about a palm fruit digester apparatus, employing the tenets of dimensional analysis. The palm fruit digester, an essential component within the palm oil manufacturing processes, encompasses intricate interactions among various parameters that influence its operational efficiency and throughput. A palm fruit digester was conceptualised and fabricated locally to attain a more profound comprehension of these interrelationships. The performance parameter was scrutinized as data were amassed during the apparatus's testing, and the Buckingham Pi theorem was utilized to derive dimensionless Pi terms from pertinent parameters. The results of our analysis indicated that R² values of 0.9956 for both throughput and machine efficiency were achieved. Consequently, the model can forecast the efficiency and throughput of the palm fruit digester. This helps researchers understand that the palm fruit digester's operational efficiency and throughput are essential to the industry's sustainability, financial stability, and quality standards. In addition to helping to optimise these procedures, the dimensional analysis modelling approach advances strategic ideas that have the potential to reshape operational capabilities in the processing of palm oil.