During a fire, the trunks of some dry southern yellow pine trees (k = 0.94 W/m·K and ? = 1.38 × 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 3 hours, with a heat transfer coefficient of 65 W/m2·K on the surface. The ignition temperature of the trees is 400°C. Treating the trunks of the trees as long cylindrical rods of diameter 20 cm, determine the temperature to three significant digits at the tree surface.
During a fire, the trunks of some dry southern yellow pine trees (k = 0.94 W/m·K...
A plane wall of thickness 2L= 30 mm and thermal conductivity k= 3 W/m·K experiences uniform volumetric heat generation at a rate q˙, while convection heat transfer occurs at both of its surfaces (x=-L, +L), each of which is exposed to a fluid of temperature ∞T∞= 20°C. Under steady-state conditions, the temperature distribution in the wall is of the form T(x)=a+bx+cx2 where a= 82.0°C, b= -210°C/m, c= -2 × 104°C/m2, and x is in meters. The origin of the x-coordinate...