Mathematical modeling of binding material coalescence at the production of syntactic carbon foams

The processes of agglutination and coalescence of a softened (liquefied) coating material of microspheres are considered both in the absence of an external influence and in its presence. The periodicity cell is singled out, the dynamics of the change in the form of the interface between the liquid and gas phases is described. The thermal and mechanical effects are marked out as external factors leading to shrinkage of the microspheres layer with coatings. Relationships for estimating the shrinkage of the periodicity cell and determining the influence of the named factors, viscosity, and surface tension on the porosity of the layer material are presented.