A long cylindrical rod, 8 cm in diameter, is initially at a uniform temperature of 20°C. At time t = 0, the rod is exposed to an ambient temperature of 400°C through a heat transfer coefficient of 20 W/(m2 K). The thermal conductivity of the rod is 0.8 W/(mK) and the thermal diffusivity is 3 ×10–6 m2/s. Determine how much time will be required for the temperature change at the centerline of the rod to reach 93.68% of its maximum value. Use an explicit difference equation and compare your numerical results with a chart solution from Chapter 2.
GIVEN
Cylindrical rod suddenly exposed to increased ambient temperature