Consider a large uranium plate of thickness L = 9 cm, thermal conductivity k= 28 W/m·K, an...

Consider a large uranium plate of thickness L = 9 cm, thermal conductivity k= 28 W/m·K, and thermal diffusivity a = 12.5 ×10-6 m2/s that is initially at a uniform temperature of 100°C. Heat is generated uniformly in the plate at a constant rate of At time t = 0, the left side of the plate is insulated while the other side is subjected to convection with an environment at T∞ = 20°C with a heat transfer coefficient of h = 35 W/m2· K, Using the explicit finite difference approach with a uniform nodal spacing of Δx = 1.5 cm, determine (a) the temperature distribution in the plate after 5 min and (b) how long it will take for steady conditions to be reached in the plate.