Consider the gas turbine cooling scheme of Example 4.4. In Problem 3.23, advantages associated with applying a thermal barrier coating (TBC) to the exterior surface of a turbine blade are described. If a 0.5-mm-thick zirconia coating (k = 1.3 W/m ∙ K, Rt,c = 10-4 m2 ∙ K/W) is applied to the outer surface of the air-cooled blade, determine the temperature field in the blade for the operating conditions of Example 4.4.