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Impact of the Backbone Connectivity on the Gas Pressure-Dependent Thermal Conductivity of Porous Solids

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Abstract

It has been shown that structural properties of open porous solids, such as the mean pore size, can be derived from gas pressure-dependent thermal conductivity data. However, a reliable prediction of the total thermal conductivity of a porous sample with complex backbone structure from structural data is not possible, because the degree of coupling of gaseous and solid thermal conduction is hard to estimate. To explore the impact of structural effects, the thermal performance of different model structures, generally characteristic for porous solids (necks, dead ends, tortuosity), was theoretically evaluated by means of finite-difference calculations. As a result, we find that dead ends cause the highest amount of thermal coupling. On the other hand, independent experimental investigations were performed to support the theoretical findings. That means, the gas pressure-dependent thermal conductivities of two sample systems in a nitrogen atmosphere were analyzed: At first, thermal conductivity data for three organic, resorcinol–formaldehyde based aerogels with different structural properties were received from hot-wire measurements. Secondly, the regular cell structure of melamine resin foam was systematically changed by uniaxial compression within a guarded hot plate apparatus prior to determining the resulting thermal conductivity in the direction of compression. Overall, the measured gas pressure-dependent thermal conductivities of both systems indicate that the connectivity of the solid network significantly affects the solid–gas coupling term in porous solids. Both the experimental and theoretical results show that the coupling term decreases with increasing connectivity of the backbone material of a porous solid.

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Acknowledgements

The authors would like to thank Mrs. D. Winkler and Mr. P. Ponath for the support during the hot-wire measurements within the framework of their theses.

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  1. Division Energy Efficiency, Bavarian Center for Applied Energy Research, Magdalene-Schoch-Str. 3, 97074, Würzburg, Germany

    K. Swimm, S. Vidi, G. Reichenauer & H.-P. Ebert

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  1. K. Swimm
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  2. S. Vidi
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Swimm, K., Vidi, S., Reichenauer, G. et al. Impact of the Backbone Connectivity on the Gas Pressure-Dependent Thermal Conductivity of Porous Solids. Int J Thermophys 43, 8 (2022). https://doi.org/10.1007/s10765-021-02936-4

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  • DOI: https://doi.org/10.1007/s10765-021-02936-4

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