Consider the heavily insulated pipe of Example 5.4, which is suddenly subjected to the flow of hot oil. Use the Transient Conduction, Plane Wall model of IHT to obtain the following solutions.

(a) Calculate the temperature of the inner and outer surfaces of the pipe, the heat flux at the inner surface, and the energy transferred to the wall after 8min compare your results with those obtained in the example.

(b) At what time will the outer surface temperature of the pipe, T(0, t), reach 25°C?

(c) Using the Exp/ore and Graph options of IHT, calculate and plot on a single graph the temperature distributions, T(x, t), for the initial condition, the final condition, and intermediate times of 4 and 8 min. Explain key features of the distributions.

(d) Calculate and plot the temperature histories. T(x, t), at the inner (x = 0) and outer (x = L) pipe surfaces for 0 < t < 16 min.