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<p>This study presents a novel methodology for estimating thermal contact conductances between two surfaces in cylindrical composite media, using transient measurements taken on accessible external surfaces, by means of the Reciprocity Functional Method. By employing orthogonal basis functions and a stability criterion based on a cumulative norm, the method ensures stable solutions without requiring steady-state measurements. Numerical experiments on composite specimens with different noise levels and thermal contact conductance configurations were implemented. Results demonstrated a fast convergence for the interfacial heat flux and temperature jump, with measurements taken up to approximately 60% of the steady-state time. The noisy data influence was analyzed through a cumulative norm approach, confirming the reliability of the chosen orthogonal functions. This efficient and adaptable approach is particularly suited for systems where the TCC remains constant over time but can have sharp variations in space.</p>

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Estimating thermal contact conductances in two-layer cylindrical composites using the reciprocity functional method and transient measurements

  • 期刊论文

  • 发表日期：

    2025年2月10日

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  • Carlos Eduardo Polatschek Kopperschmidt,
  • Bruno Henrique Marques Margotto,
  • Marcelo José Colaço,
  • Wellington Betencurte da Silva

摘要

This study presents a novel methodology for estimating thermal contact conductances between two surfaces in cylindrical composite media, using transient measurements taken on accessible external surfaces, by means of the Reciprocity Functional Method. By employing orthogonal basis functions and a stability criterion based on a cumulative norm, the method ensures stable solutions without requiring steady-state measurements. Numerical experiments on composite specimens with different noise levels and thermal contact conductance configurations were implemented. Results demonstrated a fast convergence for the interfacial heat flux and temperature jump, with measurements taken up to approximately 60% of the steady-state time. The noisy data influence was analyzed through a cumulative norm approach, confirming the reliability of the chosen orthogonal functions. This efficient and adaptable approach is particularly suited for systems where the TCC remains constant over time but can have sharp variations in space.