Consider the cylindrical bales of hay in Problem 3.82. It is proposed to utilize the microbial energy generation associated with wet hay to heat water. Consider a 30-mm diameter, thin-walled tube inserted lengthwise through the middle of a cylindrical bale. The tube carries water at Too,i = 20°C with hi = 200 W/m2 · K.
(a) Determine the steady-state heat transfer to the water per unit length of tube.
(b) Plot the radial temperature distribution in the hay, T(r).
(c) Plot the heat transfer to the water per unit length of tube for bale diameters of 0.2 m D 2 m.