Solve the below:
Q: A long wooden rod at 38°C with a 2.5 cm diameter is placed into an airstream at 600°C. The heat transfer coefficient between the rod and air is 28.4 W/(m2 K). If the ignition temperature of the wood is 427°C, I = 800 kg/m3, k = 0.173W/(m K), and c = 2500 J/(kg K), determine the time between initial exposure and ignition of the wood.
GIVEN
A long wooden rod is placed into an airstream
Rod outside diameter (D) = 2.5 cm = 0.025 m
Initial temperature of the rod (To) = 38°C
Temperature of the airstream (T) = 816°C
The heat transfer coefficient (hc) = 28.4 W/(m2 K)
The ignition temperature of the wood (TI) = 427°C
Density of the rod (I?) = 800 kg/m3
Thermal conductivity (k) = 0.173 W/(m K)
Specific heat (c) = 2500 J/(kgK)
