Numerical Study of Defects and Heat Transfer in Repaired Metallic Plates

Document Type : Research Paper

Authors
1 Laboratory of Energy Engineering and Materials (LEEM), Faculty of Science and Technology, Sultan Moulay Slimane University, BP 591, 23000 Beni-Mellal, Morocco
2 Engineering and Applied Physics Team (ETAP), Higher School of Technology, Sultan Moulay Slimane University, BP 591, 23000 Beni-Mellal, Morocco
3 Department of Mechanical Engineering, National School of Arts and Crafts, Hassan-II University of Casablanca, 20000 Casablanca, Morocco
Abstract
This work presents a numerical investigation of transient heat diffusion in a two-dimensional plate containing internal defects subjected to pulsed thermal excitation. The governing heat diffusion equation is solved using the Finite Volume Method (FVM) and the Lattice Boltzmann Method (LBM), implemented through an in-house Fortran 90 code. The numerical model is validated by a grid convergence study and a detailed comparison between both approaches, demonstrating excellent agreement with a maximum relative error below 2.65%. A parametric analysis is conducted to evaluate the influence of defect geometry, including size, depth, and position, on the surface temperature distribution. The results show that increasing defect size leads to higher thermal contrast and more pronounced temperature peaks, whereas defects located deeper or farther from the heated surface exhibit weaker thermal signatures due to enhanced thermal diffusion. The symmetry and localization of the thermal profiles are identified as reliable indicators for defect characterization. The findings confirm the accuracy and efficiency of the Lattice Boltzmann Method for thermal analysis of heterogeneous structures and highlight its potential for applications in thermal-based non-destructive evaluation using infrared thermography.
Keywords
Subjects

Publisher’s Note Shahid Chamran University of Ahvaz remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

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