Mathematical Modeling of Thermal Association in a Porous Medium with a Capillary Effect in Anisotropic Composite Materials

Abstract

Authors developed a mathematical model of heat and mass transfer in multidimensional bodies made of composite materials, taking into account porosity and capillarity. Continuity equations for pyrolysis gases were taken for the research: the pressure ratio at the outer boundary of the body. Based on the nonstationary heat conduction problem, under conditions of high-intensity heat transfer at the boundaries of bodies, taking into account the laws of decomposition and non-linear filtration of pyrolysis gases through a porous residue, the time distribution of the movable boundary of phase transformations and the distribution of the temperature field along the variable coordinate at different instants of time are obtained. It was found that, although the thermal load at the outer boundaries is symmetric with respect to the symmetry axis, there is an obvious asymmetry in the temperature field and the movable boundary of the phase transformations.