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Radiation In Rectangular Idealized Furnace Using Fvm And P1 Approximation
Problem Definition:
A three-dimensional idealized combustor proposed by Menguc and Viskanta [1] is considered. It is filled with an absorbing-emitting-scattering medium with extinction coefficient β=0.5 m−1 and scattering albedo ω=0.7. and a uniform heat generation of 5.0 kW/m2. Geometry and boundary conditions are shown in Fig. (2.1). The spatial domain is discretized into 15625 hexahedral cells.
Figure 2.1: Idealized combustor
Figure (2.2) shows the hot and cold wall heat flux. Reduction in the extinction coefficient as compared to the test case without scattering increases the heat flux values. A lower value of optical thickness in the present case cause P1 and Modified P1 to over-predict the hot wall heat flux highlighting their poor performance in lower optical thickness range.
Figure 2.2: Wall Heat Flux
[1] Menguc M.P. and Viskanta R. (1985) ‘Radiaive transfer in three-dimensional rectangular enclosure containing inhomogenous anisotropically scattering media’, Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 33(6), pp. 533–549.
