Mathematical models of thermal processes that occur in the powder metallurgy during sintering, hot pressing, wire and rods annealing are examined from a unified physical point of view. Nonlinear initial-boundary value problems for linear equations of heat conduction and diffusion in fixed and moving axially symmetric environment with constant and variable thermal characteristics and coefficients, which are permanent or piecewise monotonic functions, are considered in mathematical models. Problems are solved by numerically-analytical methods involving Crank-Nicolson and Douglas-Han implicit difference schemes. In describing the process of high thermal diffusion, the boundary condition that relates to the change in the concentration of impurities in the heated region, depending on the temperature, is formulated. A block diagram of the control process of thermal diffusion in powder metallurgy is proposed.

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