×

zbMATH — the first resource for mathematics

Thermal conductivity bounds for isotropic, porous materials. (English) Zbl 1189.74024
Summary: To avoid potential misapplication of effective thermal conductivity models, materials that may be described as ‘porous’ should be divided into two classes; ‘internal porosity’ materials which have bubbles/pores suspended within a continuous condensed phase (e.g. sponges, foams, honeycombs), and ‘external porosity’ materials which include granular/particulate materials. It is proposed that the effective thermal conductivity region bounded by the Hashin-Shtrikman bounds may be divided into internal porosity and external porosity regions by the Effective Medium Theory (EMT) equation. The use of the Hashin-Shtrikman and EMT equations as porosity bounds was supported by experimental data from the literature.

MSC:
74F05 Thermal effects in solid mechanics
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
74Q20 Bounds on effective properties in solid mechanics
80A20 Heat and mass transfer, heat flow (MSC2010)
PDF BibTeX XML Cite
Full Text: DOI