The solid in Problem 3-51 is initially uniform in temperature at 10C. At time zero the right face is suddenly changed to 38C and the

The solid in Problem 3-51 is initially uniform in temperature at 10ºC. At time zero the right face is suddenly changed to 38ºC and the left face exposed to the convection environment. Nodes 3 and 6 remain at 10ºC. Select an appropriate value for ∆τ and calculate the temperatures of nodes 1, 2, 4, and 5 after 10 time increments. Carry the calculation forward to verify the steady-state distribution. Take ρ = 3000 kg/m3 and c = 840 J/kg · ºC.