A turbine blade made of a metal alloy (k = 17 W/m⋅K) has a length of 5.3 cm, a perimeter of 11 cm, and a cross-sectional area of 5.13 cm² . The turbine blade is exposed to hot gas from the combustion chamber at 973°C with a convection heat transfer coefficient of 538 W/m²⋅K. The base of the turbine blade maintains a constant temperature of 450°C , and the tip is adiabatic. Determine the heat transfer rate to the turbine blade and the temperature at the tip.

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TL Hot gas, 973°C h = 538 W/m²K FIGURE P17-113 3 - Turbine blade k= 17 W/m-K p= 11 cm, L= 5.3 cm A = 5.13 cm² -Tb = 450°C