A 2.5-cm-diameter, 15-cm-long transit rod (k = 0.97 W(m K) = 1647 kg/m 3 , c

A 2.5-cm-diameter, 15-cm-long transit rod (k = 0.97 W(m K) ρ = 1647 kg/m³, c = 837 J/(kg K)) on the end of a 2.5-cm-diameter wood rod at a uniform temperature of 100°C is suddenly placed into a 16°C, 30 m/s air stream flowing parallel to the axis of the rod. Estimate the average centerline temperature of the transit rod 8 min after cooling starts. Assume radial heat conduction, but include radiation losses based on an emissivity of 0.90 to black surroundings at the air temperature.