The solid in Problem 3-53 has k = 11W/m C and is initially uniform in temperature at

The solid in Problem 3-53 has k = 11W/m· ºC and is initially uniform in temperature at 1000ºC. At time zero the four surfaces are changed to the values shown. Select an appropriate ∆τ and calculate the temperatures of nodes 1, 2, 3, and 4 after 10 time increments. Also obtain the limiting steady-state temperatures. Take ρ = 2800 kg/m3 and c = 940 J/kg · ºC.