(Solution) - Determine the rate of heat transfer between two 1 by -(2025 Original AI-Free Solution)

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Determine the rate of heat transfer between two 1 by 1 m parallel flat plates placed 0.2 m apart and connected by re-radiating walls. Assume that plate 1 is maintained at 1500 K and plate 2 at 500 K.
(a) Plate 1 has an emissivity of 0.9 over the entire spectrum and plate 2 has an emissivity of 0.1.
(b) Plate 1 has an emissivity of 0.1 between 0 and 2.5 ? m and an emissivity of 0.9 at wavelengths longer than 2.5 m m, while plate 2 has an emissivity of 0.1 over the entire spectrum.
(c) The emissivity of plate 1 is the same as in part (b), and plate 2 has an emissivity of 0.1 between 0 and 4.0 ? m and an emissivity of 0.9 at wavelengths larger than 4.0 ? m.
GIVEN
Two parallel flat plates connected by re-radiating walls
Plates dimensions: 1 m x 1 m
Distance between plates (s) = 0.2 m
Plate temperatures
T1 = 1500 K
T2 = 500 K
ASSUMPTIONS
Convective heat transfer is negligible
The re-radiating surface is gray
Steady stateconditions