Modelling of temperature distribution during metal-ceramic pipe production using a centrifugal SHS method

The improvement of the technology of the production of composite laminated metal-ceramic pipes with an external metal layer and an internal ceramic layer using reactions of self-propagating high temperature synthesis (SHS), developed in the 70-s of the last century up to the present time has been an urgent problem.The technology though perspective is still unstable and its wide application is impossible without its optimization. The development of a mathematical model of the process of applying in-line coating using a centrifugal SHS method which would take into account all thermophysical and physicochemical parameters forming the coating could help the development of optimal methods of producing coatings which meet operational requirements. The research is based on mathematical modeling and some assumptions: the layer thickness of the SHS mixture is constant in the radius and in the length of the pipe; the particle size of the SHS mixture is much less than the reaction zone (it allows to provide heterogeneous environment to homogeneous); thermophysical parameters of environments are constant and do not depend on the temperature; the length of the combustion wave propagates in stable, stationary combustion regime at a constant speed. The method of finite differences for making numerical calculations of the boundary value task. was used in this research.The results of thermal simulation and the thermokinetic model of the in-line coating formation process built during the research were used to create a computer program that could predict the results of the process in dif-ferent modes. The program interface allows to change the values of thermokinetic, mechanical and geometrical process parameters.