An exact mathematical formulation and associated parallel computational scheme is developed by use of regular harmonics and the addition theorem for the harmonics to calculate the effective thermal conductivity of discretely inhomogeneous media consisting of spherical particles embedded in a continuous matrix. Exact calculations of the temperature field and heat transfer (with high harmonics orders of sphere interactions) are performed in various particulate configurations in which the number of particles is sufficiently large to represent a continuous inhomogeneous medium. Effective medium principles are applied to determine the effective conductivity of the medium. Reported experimental results in the literature are compared with the results from our analytical formulation.
- Heat Transfer Division
Prediction of the Effective Thermal Conductivity of Discretely Inhomogeneous Media
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Ramos-Negrete, M, & Mackowski, DW. "Prediction of the Effective Thermal Conductivity of Discretely Inhomogeneous Media." Proceedings of the ASME 2013 Heat Transfer Summer Conference collocated with the ASME 2013 7th International Conference on Energy Sustainability and the ASME 2013 11th International Conference on Fuel Cell Science, Engineering and Technology. Volume 4: Heat and Mass Transfer Under Extreme Conditions; Environmental Heat Transfer; Computational Heat Transfer; Visualization of Heat Transfer; Heat Transfer Education and Future Directions in Heat Transfer; Nuclear Energy. Minneapolis, Minnesota, USA. July 14–19, 2013. V004T14A026. ASME. https://doi.org/10.1115/HT2013-17682
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