An iterative approach for solving of non-linear problems for conductive-radiative heat transfer in a plane layer

Abstract

Non-linear problems for conductive-radiative heat transfer in a plane layer which emits, absorbs
and scatters IR-radiation in its volume and on the surface are considered in the paper. The
convective heat exchange of the layer with environment is also taken into consideration in the
problem. An iterative method for these problems solving has been developed. An algorithm for
numerical realization of the method has been crated with the use of finite-element approximation.
Numerical studies of iterative method’s convergence have been carried out.