Incorporating truncated fractal distribution into Maxwell model to quantify thermal conductivity and its uncertainty in heterogeneous multiparticle systems

作     者：Jianting Zhu Jianting Zhu

作者机构：Department of Civil and Architectural Engineering and Construction ManagementUniversity of WyomingLaramieWY82071USA 

出 版 物：《Particuology》 (颗粒学报(英文版))

年 卷 期：2023年第80卷第9期

页      面：81-89页

核心收录：

学科分类：07[理学] 0714[理学-统计学（可授理学、经济学学位）] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Thermal conductivity Heterogeneous multiparticle system Truncated fractal distribution Particle concentration Void fraction 

摘      要：An approach is developed to examine the mean and uncertainty of thermal conductivity of a heterogeneous multiparticle system,where the particle concentration or void fraction is treated as a truncated fractal *** truncated fractal distribution is then integrated into the Maxwell model,which is equivalent to a cell model in which the multiparticle system is conceptualized as a spherical fluid cell that envelopes a solid *** developed mean thermal conductivity is compared with four experimental data sets of liquid-saturated media from the *** effect of fractal characteristics is quantified and *** particle concentration or void fraction truncated fractal distribution can better capture scatters in the experimental *** thermal conductivity and its standard deviation decrease with increasing fractal *** the void fraction is truncated fractal,the uncertainty increases mostly in the low mean void fraction range and drops more quickly with the increasing mean void fraction compared to the case where the particle concentration is truncated *** a typical case of multiparticle system when the solid particles are more conductive than the fluid,the faster increase rate of standard deviation with the ratio of solid over fluid conductivities occurs when the mean void fraction is smaller.