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COBEM 2023

27th International Congress of Mechanical Engineering

A view of the behaviour of the soybean aeration problem with realistic parameters

Submission Author: Daniel Rigoni , PR , Brazil
Co-Authors: Daniel Rigoni, Marcio Pinto, Jotair Elio Kwiakowski Junior
Presenter: Daniel Rigoni

doi://10.26678/ABCM.COBEM2023.COB2023-1693

 

Abstract

The objective of this study is to present an innovative analytical solution to the mathematical model that characterizes the behaviour of the grain mass aeration process. To achieve this goal, we utilize the Method of Manufactured Solutions (MMS), a well-established method in the field of Computational Fluid Dynamics (CFD) for validating numerical techniques and quantifying their errors. Both the CDS-Crank-Nicolson and Leith techniques were employed using the Finite Difference Method (FDM). An error analysis was performed to evaluate the accuracy of the approximations utilized and to confirm the effective and apparent orders of the discretization error obtained through mesh refinement. Furthermore, the numerical methods were carefully evaluated and compared in two realistic scenarios of the aeration process of soybeans. The comprehensive study revealed that the Leith approach outperforms the CDS-Crank-Nicolson method in both examined settings. These findings highlight the critical importance of judiciously selecting suitable numerical approximations when tackling complex problems such as grain mass aeration, where variations in the parameters can substantially impact the precision of the final outcomes. The results of this investigation provide valuable insights for researchers and practitioners in the field, offering a basis for informed decision-making and improved problem-solving strategies. Based on these results, it is recommended that Leith's method be used to solve the grain mass aeration model numerically using the FDM due to its exceptional stability, as demonstrated by its superior performance in the two practical scenarios studied. This can significantly enhance our understanding of the grain mass aeration process and its practical applications in the agricultural industry. By providing a reliable numerical solution, this study offers insight into the optimization of aeration processes, leading to improved grain quality and reduced spoilage. Furthermore, this can have significant implications for the storage and preservation of grains, ensuring their safe and efficient use in various agricultural applications.

Keywords

Postharvest, CFD, Thorpe, Finite Difference Method

 

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