Method of summation-integral equations for solving the mixed problem of nonstationary heat conduction

Abstract

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