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Stationary Theory of Heat-Conductivity for an Axi-Symmetrical Piece Homogeneous Space with Circular Inclusion

This paper discusses the theory of thermo-conductivity due steady-state heat flow of semi-infinite homogeneous solids containing a perfectly rigid circular inclusion located on the plane where the two half-solids are joint. The half-spaces have different thermo-physical characteristics and a steady heat flow is applied to the solids. The effects of selected spatial heat sources are also investigated. Mathematical model and general solution is presented along with selected particular cases and simulations, followed by pertinent discussions and conclusions.