Open Access Open Access  Restricted Access Subscription Access

Effect of Knudsen Number on Effective Thermal Conductivity of Two Phase Materials



In this article, collocated parameter models are developed to estimate thermal conductivity of two-phase materials by including the effects of pressure and temperature dependent parameter, Knudsen number. The algebraic expressions are derived for both touching and non-touching two-dimensional and three-dimensional spatially periodic geometries based on unit cell approach. The models are used to predict thermal conductivity of various two-phase materials with conductivity ratio between 1 to 1000 at various temperatures and pressures. The models are validated with published experimental data for various temperatures and pressures and it shows good agreement with experimental data with ±7.53%, ±8.66% for high pressures and ±14.22%, ±9.75% at low pressures for materials with high conductivity ratio(100< <1000) and low thermal conductivity ratio (<100) respectively

Full Text: