The effective thermal conductivity of composite materials with thermal contact
resistance at interfaces is studied by lattice Boltzmann modeling in this work.
We modified the non-dimensional partial bounce-back scheme, proposed by Han et
al. [Int. J. Thermal Sci., 2008. 47: 1276-1283],
to introduce a real thermal contact resistance at interfaces into the thermal
lattice Boltzmann framework by re-deriving the redistribution function of heat
at the phase interfaces for a corrected dimensional formulation. The modified
scheme was validated in several cases with good agreement between the simulation
results and the corresponding theoretical solutions. Furthermore, we predicted
the effective thermal conductivities of composite materials using this method
where the contact thermal resistance was not negligible, and revealed the
effects of particle volume fraction, thermal contact resistance and particle
size. The results in this study may provide a useful support for materials
design and structure optimization.