A Seminumerical Approach for Heat Diffusion in Heterogeneous Media: One Extension of the Analytical Quadrupole Method

Olivier Fudym 1 Bruno Ladevie 1 Jean-Christophe Batsale 2
1 RAPSODEE - Centre de recherche d'Albi en génie des procédés des solides divisés, de l'énergie et de l'environnement
2 I2M - Institut de Mécanique et d'Ingénierie de Bordeaux
Abstract : The analytical thermal quadrupole method is suitable for the modeling of multidimensional transient heat diffusion in homogeneous media, especially when applied to multilayered media. Here, we propose a new approach in order to extend the quadrupole frame to heterogeneous media. A seminumerical general solution is proposed for transient heat transfer in finite or semi-infinite media in both axial and radial coordinate systems, when the variation of thermal properties is one-dimensional. The presentation of the method is explained with a 2-D two-layer slab case. Some application examples are then presented from this basic case. The analytical expressions allow deep insight about the physical phenomenon.
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Olivier Fudym, Bruno Ladevie, Jean-Christophe Batsale. A Seminumerical Approach for Heat Diffusion in Heterogeneous Media: One Extension of the Analytical Quadrupole Method. Numerical Heat Transfer, Part B Fundamentals, Taylor & Francis, 2002, 42 (4), pp.325 - 348. ⟨10.1080/10407790190053978⟩. ⟨hal-01651375⟩

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