Development of a Novel Improved Differential Approximation (NIDA) for Analysis of Combined Conduction-Radiation Heat Transfer (CCR) in a Two-Dimensional Enclosure with Participating Medium: An Experimental Validation

Abstract

This numerical investigation addresses the applicability and adaptability of the novel improved differential approximation (NIDA) for combined conduction-radiation heat transfer (CCR) in a two-dimensional enclosure with radiatively participating gray medium. The NIDA is developed by blending the spherical harmonic method with the ray emission model and the zonal method. The first-order spherical harmonics, i.e., P1 approximation results, are improved and validated with a similar type of analysis as in Kim's discrete ordinates method (DOM), the hybrid method, and other CCR models. The application and robustness of the NIDA model for a wide range of radiative properties of the medium has been examined, and results are presented for benchmarking the solution. Furthermore, the favorable agreement of numerically obtained isotherms with interferograms captured by a Mach-Zehnder interferometer demonstrates the realistic nature of the NIDA.