Radiative and conductive transfer for a gas/soot mixture between diffuse parallel plates

The purpose of this study is to examine the interaction of conductive and radiative transfer for a radiatively participating medium contained between two infinite, isothermal, opaque, and diffuse plates. The medium consists of absorbing gases of carbon dioxide and water vapor and soot particles. The soot volume fraction is introduced to describe the degree of participation of the soot in the radiant exchange process. Solutions for the medium temperature distributions and wall heat fluxes were acquired using the finite analytic with radiation method. Results are reported to ascertain the influence of the soot volume fraction, plate separation distance, and surface emittances on the heat transfer between the plates. It is observed that the soot radiation dominates the absorbing gas radiation and that soot significantly reduces the heat transfer.