| Summary: | <p>Composites comprising a matrix with multishaped inclusions are widely used as the engineering structural, building, and functional materials in a variety of instrumentation devices. Among the composites a majority of materials used in engineering are heterogeneous solids. Among these materials there is a large group of composites that have inclusions in the form of fine particles. Those should also include a variety of nanostructured particles with the outlook for their using to provide a capability to enhance mechanical properties of composites.</p><p>To improve processability of the binder polymer as a component part of the composite are used fine fillers in the form of powder, flakes or fibrous particles. This makes it possible to receive the exotherm during the curing of the binder, to reduce its shrinkage, and improve the mechanical, thermal, electromagnetic and other operational characteristics of the produced composite. However, such fillers available in the binder can cause porosity that impaires the composite properties. The pore emergence is also caused by a long binder shrinkage during its solidification reaching several percent. Particle sizes can vary from a fraction of micrometer to several tens of micrometers. One would expect a similar range of variation of pore sizes.</p><p>One of the composite characteristics, which is sensitive to inclusions available therein as pores and fine particles, is an effective thermal conductivity that is significant in terms of defining the scope of use for such composites. Calculation formulas for evaluating this factor obtained in the prior art, as a rule, either as a result of experimental data processing in relation to specific materials, or by setting a priori distribution of temperature and heat flow in models of heterogeneous body structure. However, building the mathematical models of a heat transfer process in the composite allows us to define a quantitative effect of the concentration of pore volume and fine particles on this coefficient.</p><p>This study compares the quantitatively estimated results of the effective thermal conductivity of the spherically-shaped disperse inclusions composite obtained using various approaches to describing the process of heat transfer in such a composite.</p>
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