Thermal Conductivity of Periodic Composite Media with Spherical Inclusions |
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Authors: | GU Guo-qing LIU Zen-rong |
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Institution: | 1. Center of Theoretical Physics, CCAST (World Laboratory) Beijing, China;
2. Department of Systems Engineering, Shanghai Institute of Mechanical Engineering Shanghai 200093, China;
3. LNM, Institute of Mechanics, Academia Sinica, Beijing 100080, China;
4. Department of Mathematics, Suzhou University, Suzhou 215006, China |
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Abstract: | The thermal conductivity of periodic composite media with spherical inclusions embedded in a homogeneous matrix is discussed. Using Green's function, we show that the Rayleigh identity can be generalized to deal with the thermal properties of these systems. A technique for calculating effective thermal conductivities is proposed. Systems with cubic symmetries (including simple cubic, body centered cubic and face centered cubic symmetry) are investigpted in detail, and useful formulae for evaluating effective thermal conductivities are derived. |
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