Solution of mixed contact problems in the theory nonstationary heat conduction by the metod of summation-integral equations

Abstract

The laws governing the development of spatial nonstationary temperature fields in a bounded cylinder and a half-space where one of the end surfaces of the cylinder touches the surface of the half-space in a circular region are determined. A solution of a mixed axisymmetric nonstationary problem of heat conduction is obtained in the region of Laplace transforms. In solution of this problem, there appear summation-integral equations with the parameter of the integral Laplace transform (L-parameter) and the parameter of the finite integral Hankel transform (H-parameter).