| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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A Fractal Model for Effective Thermal Conductivity of Isotropic Porous Silica Low-k Materials |
DONG Xi-Jie1,2, HU Yi-Fan2, WU Yu-Ying1, ZHAO Jun3, WAN Zhen-Zhu4 |
| 1Wuhan High Magnetic Field Center, Huazhong University ofScience and Technology, Wuhan 4300742School of Physics, Huazhong University of Science and Technology,Wuhan 430074375310 Army, 25 Zhongnan Road, Wuhan 4300714School of Mathematics~and Physics, China University of Geosciences,Wuhan, 430074 |
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DONG Xi-Jie, HU Yi-Fan, WU Yu-Ying et al 2010 Chin. Phys. Lett. 27 044401 |
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Abstract We establish a new model based on fractal theory and cubic spline interpolation to study the effective thermal conductivity of isotropic porous silica low-k materials. A 3D fractal model is introduced to describe the structure of the silica xerogel and silica hybrid materials (such as methylsilsesquioxane, MSQ). Combined with fractal structure, a more suitable medium approximation is developed to study the isotropic porous silica xerogel and MSQ materials. Cubic spline interpolation for fitting discrete predictions from the fractal model is used to obtain the continuous function of the effective thermal conductivity versus porosity. Compared with other common models, the effective thermal conductivity predicted by our model presents better agreement with the experimental data for all porosity. These results indicate that the proposed model is valid.
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44.30.+v
78.55.Mb
05.45.Df
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Received: 26 November 2009
Published: 27 March 2010
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