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-mm-diameter 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 product's 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.

(b) Determine the radiation per unit length incident upon the product at x = 0.5 m and x = 1 m for ? = ?/15.

L= 2 m. Infrared panel tieaters - 20 mm Product. D = 10 mm. L=2 m b= 40 mm Conveyor