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Large, cylindrical bales of hay used to feed livestock in the winter months are D=2m in diameter and are stored end-to-end in long rows. Microbial energy generation occurs in the hay and can be excessive if the farmer bales the hay in a too-wet condition. Assuming the thermal conductivity of baled hay to be k=0.04W/m*K, determine the maximum steady-state hay temperature for dry hay (q,dot = 1W/m^3), moist hay (q,dot= 10W/m^3), and wet hay (q,dot= 100W/m^3). Ambient conditions are T inf =0 C and h = 25 W/m^2*K.
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