A turbine blade 6.3 cm long (see sketch on p. 156), with cross-sectional area A = 4.6

Question:

A turbine blade 6.3 cm long (see sketch on p. 156), with cross-sectional area A = 4.6 ×10??4 m2 and perimeter P = 0.12 m, is made of stainless steel (k = 18 W/(m K). The temperature of the root, Ts, is 428?C. The blade is exposed to a hot gas at 871?C, and the heat transfer coefficient h is 454 W/(m2 K). Determine the temperature of the blade tip and the rate of heat flow at the root of the blade. Assume that the tip is insulated.GIVENStainless steel turbine bladeLength of blade (L) = 6.3 cm = 0.063 mCross-sectional area (A) = 4.6 × 10??4 m2Perimeter (P) = 0.12 mThermal conductivity (k) = 18 W/(m K)Temperature of the root (Ts) = 482?CTemperature of the hot gas (T??) = 871?CHeat transfer coefficient ( hc ) = 454 W/(m2 K)ASSUMPTIONSSteady state conditions prevailThe thermal conductivity is uniformThe tip is insulatedThe cross-section of the blade is uniformOne dimensionalconduction