Numerical determination of the heat transfer coefficient at the boundary between two media

Subject of research: mathematical model of heat transfer. Purpose of research: to develop an algorithm for the numerical solution of the inverse problem of determining the heat transfer coefficient at the boundary of two media. Research methods: the finite element method is used in the work, the algorithm is based on a special iterative scheme. Object of research: the process of heat transfer at the interface of two media with imperfect contact. Research findings: the work describes an algorithm that allows calculating the heat transfer coefficient at the boundary of two media when the contact is not ideal. The algorithm is based on the finite element method and a special iterative scheme, in which the solution is sought in the form of a finite segment of a series. A number of experiments are presented, the results are analyzed and conclusions are made on the use of the algorithm.