During a fire, the trunks of some dry oak trees (k = 0.17 W/m·K and α = 1.28 × 10–7 m2 /s) that are initially at a uniform temperature of 30°C are exposed to hot gases at 600°C for a period of 5 h, with a heat transfer coefficient of 65 W/m2 ·K on the surface. The ignition temperature of the trees is 410°C Treating the trunks of the trees as long cylindrical rods of diameter 20 cm, determine if these dry trees will ignite as the fire sweeps through them.
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