Many products are processed in a manner that requires a

Chapter , Problem 13.41

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Many products are processed in a manner that requires a specified product temperature as a function of time. Consider a product in the shape of long, 10-mmdiameter cylinders that are conveyed slowly through a processing oven as shown in the schematic. The product exhibits near-black behavior and is attached to the conveying apparatus at the products ends. The surroundings are at 300 K, while the radiation panel heaters are each isothermal at 500 K and have surfaces that exhibit near-black behavior. An engineer proposes a novel oven design with a tilting top surface so as to be able to quickly change the thermal response of the product. (a) Determine the radiation per unit length incident upon the product at x 0.5 m and x 1 m for 0. L (b) Determine the radiation per unit length incident upon the product at x 0.5 m and x 1 m for /15. Hint: The view factor from the cylinder to the left-hand side surroundings can be found by summing the view factors from the cylinder to the two surfaces shown as red dashed lines in the schematic. Tw