Bacterial metabolism releases energy as heat, which increases with their growth. Wet hay spurs growth and therefore has a higher volumetric heat generation rate than dry hay. Some values of volumetric heat generation rate are given for samples of hay that are: Dry (3 W/m), Moist (20 W/m?) and Wet (90 W/m'). Assuming all the samples of hay have the same thermal conductivity of 0.05 W/m.K, outside air temperature is -2C, and air convection coefficient h =30 W/mK, what are the peak temperatures within 2m diameter cylindrical hay bales that farmers use to feed their cattle in winter? Show calculations for the three cases of dry, moist & wet hay. State any assumptions necessary to support your analysis.