Аннотация:The 3D numerical model of thermal interaction of a multicomponent flow and a solid body is presented. The approach is based on computational fluid dynamic simulation in which the heat transfer in a fluid domain and in a solid are fully coupled. This is known as the conjugate heat transfer problem. According to the our numerical scheme, the computation of a single time step is split into the sequence of hyperbolic and parabolic stages. The energy equation for solid and fluid domains is solved as a unified equation with the explicit-iteration scheme. At the fluid-solid interfaces the matching conditions are the continuity of temperature and the normal components of the heat flux. The continuity conditions are natural for the unified heat conduction equation and there is no need separate consideration of these conditions. The proposed method is generalized for multiblock frame: we implement the conjugate heat transfer algorithm in the case of interaction of fluid domains with various solid domains using multiblock unstructured conformal grids. Our technique can be used to develop a numerical conjugate heat transfer algorithm for calculating magnetohydrodynamic flows in channels.