Pipeline Heating Analysis Using the Method of Fundamental Solutions: A Computational Approach

Resumo

Pipeline Heating Analysis Using the Method of Fundamental Solutions: A Computational ApproachThis work proposes an alternative approach to the study presented by Vianna et al. on pipeline heating systems in deep waters, utilizing the Method of Fundamental Solutions (MFS) to solve the direct heat conduction problem. The original study, which employed the finite volume method to model temperature distribution in a pipeline cross-section during shutdown conditions, will be revisited using MFS as a more computationally efficient tool.The MFS offers significant advantages for this type of problem as a meshless method, eliminating the need for physical domain discretization and simplifying the representation of the pipeline's circular geometry. Our aim is to solve the same transient heat conduction problem in a homogeneous medium with constant thermophysical properties, considering the indirect heating system with electrical cables on the external surface.Implementation via MFS is expected to provide high numerical precision and reduced computational cost compared to mesh-based methods, characteristics particularly relevant for real-time applications such as control systems. The results will be validated against analytical solutions and compared with the original study's findings, focusing on computational performance evaluation and accuracy of the proposed method.This study maintains the fundamental objective of adequately modeling the temperature field within the pipeline, an essential step for implementing optimal control strategies that prevent solid deposit formation during deepwater operations.Vianna, F. L. V., Orlande, H. R. B., & Dulikravich, G. S. (2012). Pipeline Heating Method Based on Optimal Control and State Estimation. Heat Transfer Engineering, 34(5–6), 511–519. https://doi.org/10.1080/01457632.2012.723536