This article deals with a simple Cartesian practical method named blocked-off
procedure to study the steady state combined conductive-radiative heat transfer in two-dimensional
irregular geometries. Using this technique, both straight and curvilinear boundaries can be treated.
The finite-volume method is employed to solve the energy equation and the discrete ordinates
method (DOM) is used to solve the radiative transfer equation (RTE) to obtain the temperature and
radiative-conductive heat flux distributions inside the participating medium. The walls of
enclosures are opaque, diffuse and gray with specified temperatures. The medium was considered
to be absorbing-emitting and isotropic scattering with variable thermal conductivity. In the case of
constant thermal conductivity, results have been compared with those reported in the literature.
The major part of this work is to investigate the effects of variable thermal conductivity on the
thermal characteristics of radiative-conductive systems.