Two-dimensional lattice Boltzmann modeling for effective thermal conductivity in carbon black filled composites

Abstract

Polymer composites filled with thermally conductive particles are widely used in thermo-electronic industry, and the prediction of effective properties is still important for design and use of composites. Thus, we propose a lattice Boltzmann model to predict the effective thermal conductivity of composites filled with carbon black. First, a method for reconstructing numerical material having filler distribution characteristic similar to that of actual material is introduced, and the process for obtaining the phase function and the volume fraction of grain filler is described. The energy transport governing equation is then solved through the two-dimensional discrete structure by using a lattice Boltzmann model. The effective thermal conductivity of two-phase composite is expressed by the conductivity of each phase and the temperature distribution in discrete rectangle. The resultant prediction is compared with theoretical and experimental data and indicates good agreement with experimental data.

Continuous composite longitudinal fins under oscillating boundary conditions: a lattice Boltzmann solution

“…Hussain and Tao (2018) extended the application of LBM in fibrous material, wherein the conductive-radiative information and effective thermal conductivity Engineering Computations are computationally computed. In another study (Kim et al, 2018), governing equation obtained for a two-phased composite polymer is solved by using LBM. Ke and Duan (2019) modified the Lattice Boltzmann formulation for estimating the effective thermal conductivity (ETC) of numerically constructed composite materials including the functional filler.…”

“…Hussain and Tao (2018) extended the application of LBM in fibrous material, wherein the conductive-radiative information and effective thermal conductivity are computationally computed. In another study (Kim et al. , 2018), governing equation obtained for a two-phased composite polymer is solved by using LBM.…”

Maxwell-type models for the effective thermal conductivity of a porous material with radiative transfer in the voids

“…Recent work has involved the application of Maxwell-like models to the study of composite materials [13], including polymer composites [14,15]. Such models have recently proven useful in understanding nanoflake thermal annealing [16], and in the understanding of effective thermal conductivity in a variety of materials, such as for a wood cell modelled as a constituent element of briquette chips [17], polyethylene nanocomposites [18], phase-change materials [19] and composites [20], fiber-reinforced concrete [21], alumina-graphene hybrid filled epoxy composites [22], metalgraphene composites [23], transparent and flexible polymers containing fillers [24], and composite materials for LED heat sink applications [25].…”

“…In applying the DEMT, one incrementally adds one of the materials to the composite, and considers the effect of an infinitesimal change in the composite material composition on the effective thermal conductivity, obtaining a differential equation for the effective thermal conductivity in terms of the volume fraction of inclusions; see [8,9]. Reviews of many current models and methodologies, including those outlined above, can be found in [10,11,12].Recent work has involved the application of Maxwell-like models to the study of composite materials [13], including polymer composites [14,15]. Such models have recently proven useful in understanding nanoflake thermal annealing [16], and in the understanding of effective thermal conductivity in a variety of materials, such as for a wood cell modelled as a constituent element of briquette chips [17], polyethylene nanocomposites [18], phase-change materials [19] and composites [20], fiber-reinforced concrete [21], alumina-graphene hybrid filled epoxy composites [22], metalgraphene composites [23], transparent and flexible polymers containing fillers [24], and composite materials for LED heat sink applications [25].…”

A facile strategy for modifying boron nitride and enhancing its effect on the thermal conductivity of polypropylene/polystyrene blends

“…Generally, several fillers are often utilized such as aluminum nitride, 8 graphene, 9 silicon carbide, 10 carbon nanotubes (CNTs), 11 boron nitride, 12,13 and carbon black (CB). 14 However, the thermal conductivity of polymer composites is still low when these conductive fillers are introduced. The main reasons for this phenomenon are ascribed to the weak interfacial interaction between filler and polymer matrix and the low aspect ratio of fillers.…”