| Abstract | Radiation heat transfer is important in spherical flame modeling, such as to determine the flame speed. It is beneficial to use one-dimensional (1D) model to solve the three-dimensional problems with spherical symmetry, while little work reports the 1D non-gray radiation heat transfer in spherical coordinates. This paper developed a 1D first order spherical harmonics (P1) model for the non-gray gas radiation in a sphere. The statistical narrow-band k-distribution (SNBCK), the weighted-sum-of-gray-gases (WSGG) and the spectral line based WSGG (SLW) are used for the non-gray radiation properties. The accuracy of the non-gray P1 method is analyzed and compared with discrete ordinates method (DOM). Results show that accuracy of the P1 method is close to DOM, except for gas mixture conditions. |
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