The influence of a spherical defect on the temperature field in a half-space under local heating

We study the nonlinear axisymmetric problem of determining the temperature field near a spherical defect irradiated by a heat flux. The solution is constructed by the Fourier method using the Kirchhoff transform in a bipolar coordinate system. We carry out a numerical analysis of two special cases of boundary conditions. Translated fromMatematichni Metodi ta Fiziko-mekhanichni Polya, Vol. 39, No. 1, 1996, pp. 47–50.