Modelling and Optimization of Banana/Plantain Fiber Extraction Systems through Dimensional Analysis

Abstract

This study presents a comprehensive parametric modelling approach for a locally produced plantain and banana fiber extractor, utilizing the Buckingham Pi theorem to analyze the complex interactions among various operational parameters. Plantain and banana fibers are increasingly recognized for their diverse industrial applications, including textiles, paper, packaging, and food supplements. The mechanical extraction of these fibers is prevalent, necessitating a well-designed process that conserves the natural properties of the fibers while maximizing cost-effectiveness. This research aims to optimize the design and operational parameters of the extractor to enhance its extraction capacity and overall efficiency. Employing the Buckingham Pi theorem, the study constructs dimensionless Pi terms from key parameters impacting the extractor's performance. The analysis reveals a coefficient of correlation (R²) of 0.9923 for extraction efficiency and 0.9867 for extraction capacity, indicating a strong predictive capability of the developed model. These findings provide valuable insights into optimizing the performance of the plantain and banana fiber extractor, ultimately contributing to more efficient and sustainable fiber extraction processes. This model serves as a critical tool for designers and manufacturers aiming to improve the economic viability of fiber extraction systems.