Long, cylindrical bars are heat-treated in an infrared oven. The bars, of diameter D = 50 mm, are placed on an insulated tray and are heated with an overhead infrared panel maintained at temperature T_p = 800 K with ε_p = 0.85. The bars are at T_b = 300 K and have an emissivity of ε_b = 0.92.

(a) For a product spacing of s = 100 mm and a product length of L = 1 m, determine the radiation heat flux delivered to the product. Determine the heat flux at the surface of the panel heater.

(b) Plot the radiation heat flux experienced by the product and the panel heater radiation heat flux over the range 50 mm ≤ s ≤ 250 mm.

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100 mm Panel, 800 K 50 mm Product Insulated tray