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This study examines the interaction of conductive and radiative transfer for a radiatively participating medium contained between two infinite, isothermal, opaque, and diffuse plates. The nongray 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 by 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. The soot radiation dominates the absorbing gas radiation and significantly reduces the heat transfer. a Nomenclature S* 8 absorptivity and emissivity weighting factors soot weighting factor mixture absorptivity and emissivity weighting factors soot emissivity polynomial coefficients parameter defined by Eq. (4) soot-volume fraction coefficient soot-volume fraction volume-to-volume total exchange areas volume-to-volume and volume-to-surface directed flux areas number of soot temperature polynomials thermal conductivity, W/m-K plate spacing, m number of volume zones number of gray components for gas and soot conduction-to-radiation parameter, kK T u /4aT* sum of partial pressures for absorbing gases, atm heat flux, W/m 2 volumetric radiant energy absorbed, W/m 2 dimensionless heat flux, q/4r u oT* dimensionless volumetric absorbed radiant energy, Q S SG, SS dimensionless overall heat flux dimensionless distance between zones, _ surface-to-volume and surface-to-surface total exchange areas SG*,SS* = surf ace-to-volume and surface-to-surface directed flux areas T = temperature, K y = spatial variable, m € = surface emittance 0 = dimensionless temperature, T/T U K = mixture absorption coefficient, m" 1 K g -absorbing gas absorption coefficient, (atm-m)" 1 K S = soot absorption coefficient, m" 1 K T = mixture total absorption coefficient, m" 1

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