Method of Summation‐Integral Equations for Solving the Mixed Problem of Nonstationary Heat Conduction

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.