Abstract
A model of heat transfer in porous ceramics in the presence of segregation-surface diffusion mechanism is proposed. The effective thermal conductivities of materials possessing a small amount of spherical or cylindrical pores are calculated, which are shown to generalize the Maxwell formula for conductivities of composite materials. Nondimensional parameters are formulated which govern the relative influence of segregation and diffusion of impurities on the effective conductivity of porous materials. Estimates performed for Arrhenius and McLean surface isotherm formulas show that the segregation-diffusion mechanism satisfactorily describes abnormal temperature dependences of thermal conductivities of refractory oxides in vacuum.
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